Kvamme, Sondre \(d \mathbb{Z}\)-cluster tilting subcategories of singularity categories. (English) Zbl 07303594 Math. Z. 297, No. 1-2, 803-825 (2021). MSC: 18E10 18E30 16E65 16E35 16G20 13F60 16E45 PDF BibTeX XML Cite \textit{S. Kvamme}, Math. Z. 297, No. 1--2, 803--825 (2021; Zbl 07303594) Full Text: DOI
Zheng, Min; Chen, Qinghua \({K_i}\)-group of \(t\)-structure of triangulated category. (Chinese. English summary) Zbl 07295639 J. Shandong Univ., Nat. Sci. 55, No. 8, 48-53, 58 (2020). MSC: 18F25 18G80 PDF BibTeX XML Cite \textit{M. Zheng} and \textit{Q. Chen}, J. Shandong Univ., Nat. Sci. 55, No. 8, 48--53, 58 (2020; Zbl 07295639) Full Text: DOI
Balchin, Scott; Greenlees, J. P. C. Adelic models of tensor-triangulated categories. (English) Zbl 07281386 Adv. Math. 375, Article ID 107339, 45 p. (2020). Reviewer: Luca Pol (Regensburg) MSC: 55P60 18N40 13Dxx PDF BibTeX XML Cite \textit{S. Balchin} and \textit{J. P. C. Greenlees}, Adv. Math. 375, Article ID 107339, 45 p. (2020; Zbl 07281386) Full Text: DOI
Bahiraei, Payam Cotorsion pairs and adjoint functors in the homotopy category of \(N\)-complexes. (English) Zbl 1451.18028 J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020). MSC: 18G80 18E10 55U35 18N40 PDF BibTeX XML Cite \textit{P. Bahiraei}, J. Algebra Appl. 19, No. 12, Article ID 2050236, 19 p. (2020; Zbl 1451.18028) Full Text: DOI
Toda, Yukinobu Hall algebras in the derived category and higher-rank DT invariants. (English) Zbl 07262966 Algebr. Geom. 7, No. 3, 240-262 (2020). MSC: 14D20 14J32 18E30 PDF BibTeX XML Cite \textit{Y. Toda}, Algebr. Geom. 7, No. 3, 240--262 (2020; Zbl 07262966) Full Text: DOI
Bak, Rune Harder Dualizable and semi-flat objects in abstract module categories. (English) Zbl 1443.18003 Math. Z. 296, No. 1-2, 353-371 (2020). MSC: 18E10 16E45 18G35 14F99 14F08 18G80 PDF BibTeX XML Cite \textit{R. H. Bak}, Math. Z. 296, No. 1--2, 353--371 (2020; Zbl 1443.18003) Full Text: DOI
Čoupek, Pavel; Šťovíček, Jan Cotilting sheaves on Noetherian schemes. (English) Zbl 1446.18006 Math. Z. 296, No. 1-2, 275-312 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18C10 03E55 03G30 18-02 18G80 PDF BibTeX XML Cite \textit{P. Čoupek} and \textit{J. Šťovíček}, Math. Z. 296, No. 1--2, 275--312 (2020; Zbl 1446.18006) Full Text: DOI
Bondarko, Mikhail Vladimirovich On infinite effectivity of motivic spectra and the vanishing of their motives. (English) Zbl 07225793 Doc. Math. 25, 811-840 (2020). MSC: 18G80 14F42 14C15 55P42 11E81 14F20 18E40 PDF BibTeX XML Cite \textit{M. V. Bondarko}, Doc. Math. 25, 811--840 (2020; Zbl 07225793) Full Text: DOI
Neeman, Amnon Grothendieck duality made simple. (English) Zbl 1442.14062 Cortiñas, Guillermo (ed.) et al., \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 749, 279-325 (2020). MSC: 14F08 18G80 13D09 18G10 PDF BibTeX XML Cite \textit{A. Neeman}, Contemp. Math. 749, 279--325 (2020; Zbl 1442.14062) Full Text: DOI
Barbieri-Viale, Luca; Huber, Annette; Prest, Mike Tensor structure for Nori motives. (English) Zbl 07212255 Pac. J. Math. 306, No. 1, 1-30 (2020). MSC: 14F99 18E10 18G80 03C60 PDF BibTeX XML Cite \textit{L. Barbieri-Viale} et al., Pac. J. Math. 306, No. 1, 1--30 (2020; Zbl 07212255) Full Text: DOI
Wang, Botong; Budur, Nero Absolute sets and the decomposition theorem. (English) Zbl 07201745 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469-536 (2020). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 PDF BibTeX XML Cite \textit{B. Wang} and \textit{N. Budur}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469--536 (2020; Zbl 07201745) Full Text: DOI
Brown, Michael K.; Walker, Mark E. Standard conjecture \(D\) for matrix factorizations. (English) Zbl 07183748 Adv. Math. 366, Article ID 107092, 40 p. (2020). MSC: 14A22 14F08 18G80 32S35 32S55 PDF BibTeX XML Cite \textit{M. K. Brown} and \textit{M. E. Walker}, Adv. Math. 366, Article ID 107092, 40 p. (2020; Zbl 07183748) Full Text: DOI
Beckmann, Thorsten Birational geometry of moduli spaces of stable objects on Enriques surfaces. (English) Zbl 07169735 Sel. Math., New Ser. 26, No. 1, Paper No. 14, 18 p. (2020). MSC: 14D20 18E30 14C15 14E30 14J28 PDF BibTeX XML Cite \textit{T. Beckmann}, Sel. Math., New Ser. 26, No. 1, Paper No. 14, 18 p. (2020; Zbl 07169735) Full Text: DOI
Rizzardo, Alice; Van den Bergh, Michel A \(k\)-linear triangulated category without a model. (English) Zbl 1433.18009 Ann. Math. (2) 191, No. 2, 393-437 (2020). Reviewer: Arvid Siqveland (Kongsberg) MSC: 18G80 18G35 18N60 13D09 14A22 PDF BibTeX XML Cite \textit{A. Rizzardo} and \textit{M. Van den Bergh}, Ann. Math. (2) 191, No. 2, 393--437 (2020; Zbl 1433.18009) Full Text: DOI arXiv
Rennemo, Jørgen Vold The homological projective dual of \(\operatorname{Sym}^2\mathbb{P}(V)\). (English) Zbl 07159517 Compos. Math. 156, No. 3, 476-525 (2020). MSC: 14F08 14J33 16E35 53D37 18G80 PDF BibTeX XML Cite \textit{J. V. Rennemo}, Compos. Math. 156, No. 3, 476--525 (2020; Zbl 07159517) Full Text: DOI
Pressland, Matthew Mutation of frozen Jacobian algebras. (English) Zbl 07148875 J. Algebra 546, 236-273 (2020). MSC: 16G20 16S38 18E10 18E30 PDF BibTeX XML Cite \textit{M. Pressland}, J. Algebra 546, 236--273 (2020; Zbl 07148875) Full Text: DOI
Barthel, Tobias; Greenlees, J. P. C.; Hausmann, Markus On the Balmer spectrum for compact Lie groups. (English) Zbl 1431.55012 Compos. Math. 156, No. 1, 39-76 (2020). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P91 55P42 18G80 PDF BibTeX XML Cite \textit{T. Barthel} et al., Compos. Math. 156, No. 1, 39--76 (2020; Zbl 1431.55012) Full Text: DOI arXiv
Hörmann, Fritz Enlargement of (fibered) derivators. (English) Zbl 07125483 J. Pure Appl. Algebra 224, No. 3, 1023-1063 (2020). MSC: 55U35 18D10 18D30 18E30 18G99 PDF BibTeX XML Cite \textit{F. Hörmann}, J. Pure Appl. Algebra 224, No. 3, 1023--1063 (2020; Zbl 07125483) Full Text: DOI
Balmer, Paul Nilpotence theorems via homological residue fields. (English) Zbl 1427.18010 Tunis. J. Math. 2, No. 2, 359-378 (2020). Reviewer: Nadia Mazza (Lancaster) MSC: 18G80 20J05 55U35 PDF BibTeX XML Cite \textit{P. Balmer}, Tunis. J. Math. 2, No. 2, 359--378 (2020; Zbl 1427.18010) Full Text: DOI
Recktenwald, René Construction of six functor formalisms. (English) Zbl 1435.18001 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). i, 128 p. (2019). MSC: 18-02 55-02 55U35 18G80 18D30 14F08 PDF BibTeX XML Cite \textit{R. Recktenwald}, Construction of six functor formalisms. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2019; Zbl 1435.18001) Full Text: DOI Link
Efimov, A. I. On the homotopy finiteness of DG categories. (English. Russian original) Zbl 1445.18006 Russ. Math. Surv. 74, No. 3, 431-460 (2019); translation from Usp. Mat. Nauk 74, No. 3, 63-94 (2019). MSC: 18G80 14F08 18G35 14E05 18-02 PDF BibTeX XML Cite \textit{A. I. Efimov}, Russ. Math. Surv. 74, No. 3, 431--460 (2019; Zbl 1445.18006); translation from Usp. Mat. Nauk 74, No. 3, 63--94 (2019) Full Text: DOI
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.18019 Arnold Math. J. 5, No. 2-3, 387-391 (2019). MSC: 18G80 18G35 14F08 PDF BibTeX XML Cite \textit{V. Vologodsky}, Arnold Math. J. 5, No. 2--3, 387--391 (2019; Zbl 1439.18019) Full Text: DOI
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.14143 Arnold Math. J. 5, No. 1, 139-143 (2019). MSC: 14M15 18G80 18G35 14F08 PDF BibTeX XML Cite \textit{V. Vologodsky}, Arnold Math. J. 5, No. 1, 139--143 (2019; Zbl 1439.14143) Full Text: DOI
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia Local duality for representations of finite group schemes. Injective modules at closed points. (English) Zbl 07159511 Compos. Math. 155, No. 2, 424-453 (2019). MSC: 16G10 20C20 20G10 20J06 18E30 PDF BibTeX XML Cite \textit{D. Benson} et al., Compos. Math. 155, No. 2, 424--453 (2019; Zbl 07159511) Full Text: DOI arXiv
Vyas, Rishi Weakly stable torsion classes. (English) Zbl 07144051 Algebr. Represent. Theory 22, No. 5, 1183-1207 (2019). MSC: 16S90 16E35 18E30 18G10 PDF BibTeX XML Cite \textit{R. Vyas}, Algebr. Represent. Theory 22, No. 5, 1183--1207 (2019; Zbl 07144051) Full Text: DOI
Cisinski, Denis-Charles; Déglise, Frédéric Triangulated categories of mixed motives. (English) Zbl 07138952 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-33241-9/hbk; 978-3-030-33242-6/ebook). xlii, 406 p. (2019). MSC: 14-02 18-02 14Cxx 18E30 PDF BibTeX XML Cite \textit{D.-C. Cisinski} and \textit{F. Déglise}, Triangulated categories of mixed motives. Cham: Springer (2019; Zbl 07138952) Full Text: DOI
Araya, Tokuji; Iima, Kei-ichiro; Ono, Maiko; Takahashi, Ryo Generation in singularity categories of hypersurfaces of countable representation type. (English) Zbl 1441.13040 Arch. Math. 113, No. 6, 603-615 (2019). MSC: 13D09 13C14 16G60 14F08 18G80 PDF BibTeX XML Cite \textit{T. Araya} et al., Arch. Math. 113, No. 6, 603--615 (2019; Zbl 1441.13040) Full Text: DOI arXiv
Ueyama, Kenta On Knörrer periodicity for quadric hypersurfaces in skew projective spaces. (English) Zbl 07128573 Can. Math. Bull. 62, No. 4, 896-911 (2019). MSC: 16G50 16S38 18E30 14A22 PDF BibTeX XML Cite \textit{K. Ueyama}, Can. Math. Bull. 62, No. 4, 896--911 (2019; Zbl 07128573) Full Text: DOI arXiv
Bayer, Arend A short proof of the deformation property of Bridgeland stability conditions. (English) Zbl 1448.14019 Math. Ann. 375, No. 3-4, 1597-1613 (2019). Reviewer: Amin Gholampour (College Park) MSC: 14F08 PDF BibTeX XML Cite \textit{A. Bayer}, Math. Ann. 375, No. 3--4, 1597--1613 (2019; Zbl 1448.14019) Full Text: DOI arXiv
Cheng, Haixia; Zhu, Xiaosheng Applications of cotorsion pairs on triangulated categories. (English) Zbl 1423.18040 Bull. Iran. Math. Soc. 45, No. 5, 1353-1366 (2019). MSC: 18E30 18E35 55U35 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{X. Zhu}, Bull. Iran. Math. Soc. 45, No. 5, 1353--1366 (2019; Zbl 1423.18040) Full Text: DOI
Polishchuk, Alexander; Van Den Bergh, Michel Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. (English) Zbl 07117719 J. Eur. Math. Soc. (JEMS) 21, No. 9, 2653-2749 (2019). MSC: 14F08 18E30 55N91 PDF BibTeX XML Cite \textit{A. Polishchuk} and \textit{M. Van Den Bergh}, J. Eur. Math. Soc. (JEMS) 21, No. 9, 2653--2749 (2019; Zbl 07117719) Full Text: DOI arXiv
Gallauer, Martin tt-geometry of Tate motives over algebraically closed fields. (English) Zbl 07109548 Compos. Math. 155, No. 10, 1888-1923 (2019). MSC: 14C15 14F42 19E15 18E30 18D10 18G99 PDF BibTeX XML Cite \textit{M. Gallauer}, Compos. Math. 155, No. 10, 1888--1923 (2019; Zbl 07109548) Full Text: DOI arXiv
Saorín, Manuel; Zimmermann, Alexander Symmetry of the definition of degeneration in triangulated categories. (English) Zbl 1423.18045 Algebr. Represent. Theory 22, No. 4, 801-836 (2019). MSC: 18E30 16E45 14B05 PDF BibTeX XML Cite \textit{M. Saorín} and \textit{A. Zimmermann}, Algebr. Represent. Theory 22, No. 4, 801--836 (2019; Zbl 1423.18045) Full Text: DOI
Nuiten, Joost Koszul duality for Lie algebroids. (English) Zbl 1433.14007 Adv. Math. 354, Article ID 106750, 63 p. (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 14F08 18G70 18G35 18D70 18G80 14A20 17B99 53D17 58H05 PDF BibTeX XML Cite \textit{J. Nuiten}, Adv. Math. 354, Article ID 106750, 63 p. (2019; Zbl 1433.14007) Full Text: DOI arXiv
Chen, Huachen O’Grady’s birational maps and strange duality via wall-hitting. (English) Zbl 1432.14010 Int. J. Math. 30, No. 9, Article ID 1950044, 28 p. (2019). Reviewer: Zhangyong Cai (Nanning) MSC: 14D20 18G80 14J60 14J28 PDF BibTeX XML Cite \textit{H. Chen}, Int. J. Math. 30, No. 9, Article ID 1950044, 28 p. (2019; Zbl 1432.14010) Full Text: DOI
Sanders, Beren The compactness locus of a geometric functor and the formal construction of the Adams isomorphism. (English) Zbl 1430.18012 J. Topol. 12, No. 2, 287-327 (2019). Reviewer: Martina Rovelli (Baltimore) MSC: 18G80 55U35 55P91 PDF BibTeX XML Cite \textit{B. Sanders}, J. Topol. 12, No. 2, 287--327 (2019; Zbl 1430.18012) Full Text: DOI arXiv
Pan, Shengyong; Peng, Zhen; Zhang, Jie Differential graded endomorphism algebras, cohomology rings and derived equivalences. (English) Zbl 1432.18015 Glasg. Math. J. 61, No. 3, 557-573 (2019). Reviewer: Intan Muchtadi-Alamsyah (Bandung) MSC: 18G80 16E45 16G10 16S10 18G15 PDF BibTeX XML Cite \textit{S. Pan} et al., Glasg. Math. J. 61, No. 3, 557--573 (2019; Zbl 1432.18015) Full Text: DOI
Dimitrov, George; Katzarkov, Ludmil Bridgeland stability conditions on wild Kronecker quivers. (English) Zbl 1428.14028 Adv. Math. 352, 27-55 (2019). Reviewer: Wanmin Liu (Uppsala) MSC: 14F08 16G20 PDF BibTeX XML Cite \textit{G. Dimitrov} and \textit{L. Katzarkov}, Adv. Math. 352, 27--55 (2019; Zbl 1428.14028) Full Text: DOI
Sun, Chao A note on equivariantization of additive categories and triangulated categories. (English) Zbl 1435.18019 J. Algebra 534, 483-530 (2019). MSC: 18G80 14F08 14L30 16W22 16G10 PDF BibTeX XML Cite \textit{C. Sun}, J. Algebra 534, 483--530 (2019; Zbl 1435.18019) Full Text: DOI arXiv
Barbieri, Anna; Stoppa, Jacopo; Sutherland, Tom A construction of Frobenius manifolds from stability conditions. (English) Zbl 1436.14035 Proc. Lond. Math. Soc. (3) 118, No. 6, 1328-1366 (2019). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14F08 14N35 53D45 16G20 18G80 PDF BibTeX XML Cite \textit{A. Barbieri} et al., Proc. Lond. Math. Soc. (3) 118, No. 6, 1328--1366 (2019; Zbl 1436.14035) Full Text: DOI
Hosseini, Esmaeil The pure derived category of quasi-coherent sheaves. (English) Zbl 1440.14088 Commun. Algebra 47, No. 9, 3781-3788 (2019). MSC: 14F08 18G80 PDF BibTeX XML Cite \textit{E. Hosseini}, Commun. Algebra 47, No. 9, 3781--3788 (2019; Zbl 1440.14088) Full Text: DOI arXiv
Modoi, George Ciprian Reasonable triangulated categories have filtered enhancements. (English) Zbl 1411.18017 Proc. Am. Math. Soc. 147, No. 7, 2761-2773 (2019). MSC: 18E30 55U35 18D05 PDF BibTeX XML Cite \textit{G. C. Modoi}, Proc. Am. Math. Soc. 147, No. 7, 2761--2773 (2019; Zbl 1411.18017) Full Text: DOI arXiv
Ren, Wei Applications of cotorsion triples. (English) Zbl 1427.18011 Commun. Algebra 47, No. 7, 2727-2741 (2019). MSC: 18G80 18G25 55U15 55U35 PDF BibTeX XML Cite \textit{W. Ren}, Commun. Algebra 47, No. 7, 2727--2741 (2019; Zbl 1427.18011) Full Text: DOI
Hochenegger, Andreas; Krug, Andreas Formality of \(\mathbb{P}\)-objects. (English) Zbl 07053888 Compos. Math. 155, No. 5, 973-994 (2019). MSC: 18G80 14F08 16E40 PDF BibTeX XML Cite \textit{A. Hochenegger} and \textit{A. Krug}, Compos. Math. 155, No. 5, 973--994 (2019; Zbl 07053888) Full Text: DOI arXiv
Antieau, Benjamin; Gepner, David; Heller, Jeremiah \(K\)-theoretic obstructions to bounded \(t\)-structures. (English) Zbl 1430.18009 Invent. Math. 216, No. 1, 241-300 (2019). Reviewer: Lia Vas (Philadelphia) MSC: 18G80 19D35 16E45 18E10 14F08 18N60 PDF BibTeX XML Cite \textit{B. Antieau} et al., Invent. Math. 216, No. 1, 241--300 (2019; Zbl 1430.18009) Full Text: DOI arXiv
Barthel, Tobias; Hausmann, Markus; Naumann, Niko; Nikolaus, Thomas; Noel, Justin; Stapleton, Nathaniel The Balmer spectrum of the equivariant homotopy category of a finite abelian group. (English) Zbl 1417.55016 Invent. Math. 216, No. 1, 215-240 (2019). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P91 55P42 18E30 PDF BibTeX XML Cite \textit{T. Barthel} et al., Invent. Math. 216, No. 1, 215--240 (2019; Zbl 1417.55016) Full Text: DOI arXiv
Chen, Jian Min; Lin, Ya Nan; Ruan, Shi Quan On tubular tilting objects in the stable category of vector bundles. (English) Zbl 07043618 Acta Math. Sin., Engl. Ser. 35, No. 4, 494-512 (2019). MSC: 14A22 14F05 16G70 16S99 18E30 PDF BibTeX XML Cite \textit{J. M. Chen} et al., Acta Math. Sin., Engl. Ser. 35, No. 4, 494--512 (2019; Zbl 07043618) Full Text: DOI
Su, Hao; Yang, Dong From simple-minded collections to silting objects via Koszul duality. (English) Zbl 1428.18024 Algebr. Represent. Theory 22, No. 1, 219-238 (2019). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 18G80 18G35 18G70 16E45 PDF BibTeX XML Cite \textit{H. Su} and \textit{D. Yang}, Algebr. Represent. Theory 22, No. 1, 219--238 (2019; Zbl 1428.18024) Full Text: DOI arXiv
Greenlees, J. P. C. The Balmer spectrum of rational equivariant cohomology theories. (English) Zbl 1412.55008 J. Pure Appl. Algebra 223, No. 7, 2845-2871 (2019). Reviewer: Steffen Sagave (Nijmegen) MSC: 55N91 55P42 18E30 PDF BibTeX XML Cite \textit{J. P. C. Greenlees}, J. Pure Appl. Algebra 223, No. 7, 2845--2871 (2019; Zbl 1412.55008) Full Text: DOI arXiv
Balmer, Paul; Krause, Henning; Stevenson, Greg Tensor-triangular fields: ruminations. (English) Zbl 1409.18011 Sel. Math., New Ser. 25, No. 1, Paper No. 13, 36 p. (2019). Reviewer: Nadia Mazza (Lancaster) MSC: 18E30 20J05 55U35 PDF BibTeX XML Cite \textit{P. Balmer} et al., Sel. Math., New Ser. 25, No. 1, Paper No. 13, 36 p. (2019; Zbl 1409.18011) Full Text: DOI
Piyaratne, Dulip; Toda, Yukinobu Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants. (English) Zbl 1408.14070 J. Reine Angew. Math. 747, 175-219 (2019). Reviewer: Wanmin Liu (Uppsala) MSC: 14F05 14D23 18E30 18E40 14J10 14J30 14J32 14N35 PDF BibTeX XML Cite \textit{D. Piyaratne} and \textit{Y. Toda}, J. Reine Angew. Math. 747, 175--219 (2019; Zbl 1408.14070) Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil Variation of geometric invariant theory quotients and derived categories. (English) Zbl 1432.14015 J. Reine Angew. Math. 746, 235-303 (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14F08 14L24 14D07 14D22 18G80 PDF BibTeX XML Cite \textit{M. Ballard} et al., J. Reine Angew. Math. 746, 235--303 (2019; Zbl 1432.14015) Full Text: DOI arXiv
Orlov, Dmitriĭ O. Derived noncommutative schemes, geometric realizations, and finite dimensional algebras. (English. Russian original) Zbl 1430.14006 Russ. Math. Surv. 73, No. 5, 865-918 (2018); translation from Usp. Mat. Nauk 73, No. 5, 123-182 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A30 14A22 16E45 18G80 14F08 18G35 PDF BibTeX XML Cite \textit{D. O. Orlov}, Russ. Math. Surv. 73, No. 5, 865--918 (2018; Zbl 1430.14006); translation from Usp. Mat. Nauk 73, No. 5, 123--182 (2018) Full Text: DOI
Li, Huanhuan The projective Leavitt complex. (English) Zbl 1433.16034 Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 1155-1177 (2018). MSC: 16S88 16G20 16E45 18G80 18G35 PDF BibTeX XML Cite \textit{H. Li}, Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 1155--1177 (2018; Zbl 1433.16034) Full Text: DOI arXiv
Kaledin, D. How to glue derived categories. (English) Zbl 1435.18017 Bull. Math. Sci. 8, No. 3, 477-602 (2018). Reviewer: Tanya Srivastava (Klosterneuburg) MSC: 18G80 18G35 18N60 55U35 PDF BibTeX XML Cite \textit{D. Kaledin}, Bull. Math. Sci. 8, No. 3, 477--602 (2018; Zbl 1435.18017) Full Text: DOI
Canonaco, Alberto; Stellari, Paolo Uniqueness of dg enhancements for the derived category of a Grothendieck category. (English) Zbl 1427.14039 J. Eur. Math. Soc. (JEMS) 20, No. 11, 2607-2641 (2018). MSC: 14F08 18E10 18G80 18G35 PDF BibTeX XML Cite \textit{A. Canonaco} and \textit{P. Stellari}, J. Eur. Math. Soc. (JEMS) 20, No. 11, 2607--2641 (2018; Zbl 1427.14039) Full Text: DOI arXiv
Levine, Marc Vladimir Voevodsky – an appreciation. (English) Zbl 1408.14003 Bull. Am. Math. Soc., New Ser. 55, No. 4, 405-425 (2018). Reviewer: Bernhard Köck (Southampton) MSC: 14-03 19-03 01A60 01A61 14F42 19E15 55P42 PDF BibTeX XML Cite \textit{M. Levine}, Bull. Am. Math. Soc., New Ser. 55, No. 4, 405--425 (2018; Zbl 1408.14003) Full Text: DOI
Hörmann, Fritz Six-functor-formalisms and fibered multiderivators. (English) Zbl 1404.55019 Sel. Math., New Ser. 24, No. 4, 2841-2925 (2018). Reviewer: Antonio R. Garzón (Granada) MSC: 55U35 14F05 18D10 18D30 18E30 18G99 PDF BibTeX XML Cite \textit{F. Hörmann}, Sel. Math., New Ser. 24, No. 4, 2841--2925 (2018; Zbl 1404.55019) Full Text: DOI
Li, Huanhuan The injective Leavitt complex. (English) Zbl 1394.16014 Algebr. Represent. Theory 21, No. 4, 833-858 (2018). MSC: 16G20 16E45 18E30 18G35 16S99 PDF BibTeX XML Cite \textit{H. Li}, Algebr. Represent. Theory 21, No. 4, 833--858 (2018; Zbl 1394.16014) Full Text: DOI arXiv
Bahiraei, Payam Two descriptions of relative derived categories. (English) Zbl 1407.18009 Commun. Korean Math. Soc. 33, No. 1, 53-71 (2018). Reviewer: Sunil K. Chebolu (Normal, IL) MSC: 18E30 18G20 55U35 PDF BibTeX XML Cite \textit{P. Bahiraei}, Commun. Korean Math. Soc. 33, No. 1, 53--71 (2018; Zbl 1407.18009) Full Text: DOI
Kawamata, Yujiro On multi-pointed non-commutative deformations and Calabi-Yau threefolds. (English) Zbl 1423.14017 Compos. Math. 154, No. 9, 1815-1842 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14B12 14J32 16S38 18E10 32G10 PDF BibTeX XML Cite \textit{Y. Kawamata}, Compos. Math. 154, No. 9, 1815--1842 (2018; Zbl 1423.14017) Full Text: DOI arXiv
Bondarko, Mikhail V.; Sosnilo, Vladimir A. Non-commutative localizations of additive categories and weight structures. (English) Zbl 1434.18006 J. Inst. Math. Jussieu 17, No. 4, 785-821 (2018). MSC: 18E35 16S85 14C15 18E05 14F42 19E15 16U20 18G35 16E20 PDF BibTeX XML Cite \textit{M. V. Bondarko} and \textit{V. A. Sosnilo}, J. Inst. Math. Jussieu 17, No. 4, 785--821 (2018; Zbl 1434.18006) Full Text: DOI
Kaledin, D. Co-periodic cyclic homology. (English) Zbl 1430.14022 Adv. Math. 334, 81-150 (2018). Reviewer: Atabey Kaygun (Istanbul) MSC: 14C30 19D55 14F08 16E40 18G80 18G90 PDF BibTeX XML Cite \textit{D. Kaledin}, Adv. Math. 334, 81--150 (2018; Zbl 1430.14022) Full Text: DOI arXiv
Momose, Yasuhiro; Shinkai, Kenichirou On matrix Toda brackets in Baues-Wirsching cohomology. (English) Zbl 1420.18015 Homology Homotopy Appl. 20, No. 2, 315-339 (2018). MSC: 18D05 18E30 55U35 PDF BibTeX XML Cite \textit{Y. Momose} and \textit{K. Shinkai}, Homology Homotopy Appl. 20, No. 2, 315--339 (2018; Zbl 1420.18015) Full Text: DOI
Brandenburg, Martin Rosenberg’s reconstruction theorem. (English) Zbl 1415.18004 Expo. Math. 36, No. 1, 98-117 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 18E15 14F05 PDF BibTeX XML Cite \textit{M. Brandenburg}, Expo. Math. 36, No. 1, 98--117 (2018; Zbl 1415.18004) Full Text: DOI
Fu, X. H.; Herzog, Ivo Neeman’s characterization of \(K\)(R-proj) via Bousfield localization. (English) Zbl 1417.16006 J. Pure Appl. Algebra 222, No. 8, 2288-2291 (2018). MSC: 16E05 18E30 18G35 55U15 PDF BibTeX XML Cite \textit{X. H. Fu} and \textit{I. Herzog}, J. Pure Appl. Algebra 222, No. 8, 2288--2291 (2018; Zbl 1417.16006) Full Text: DOI
Bondarko, Mikhail V. Intersecting the dimension and slice filtrations for motives. (English) Zbl 1394.14005 Homology Homotopy Appl. 20, No. 1, 259-274 (2018). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 18E30 14C25 18E35 19E15 PDF BibTeX XML Cite \textit{M. V. Bondarko}, Homology Homotopy Appl. 20, No. 1, 259--274 (2018; Zbl 1394.14005) Full Text: DOI
Su, Hao Path \(A_\infty\) algebras of positively graded quivers. (English) Zbl 1428.18016 Front. Math. China 13, No. 1, 173-185 (2018). MSC: 18G70 18G80 18G35 16E45 PDF BibTeX XML Cite \textit{H. Su}, Front. Math. China 13, No. 1, 173--185 (2018; Zbl 1428.18016) Full Text: DOI
Soergel, Wolfgang; Wendt, Matthias Perverse motives and graded derived category \({\mathcal{O}}\). (English) Zbl 1436.14015 J. Inst. Math. Jussieu 17, No. 2, 347-395 (2018). MSC: 14C15 14F42 14M15 16S37 17B10 18E10 18G80 22E47 PDF BibTeX XML Cite \textit{W. Soergel} and \textit{M. Wendt}, J. Inst. Math. Jussieu 17, No. 2, 347--395 (2018; Zbl 1436.14015) Full Text: DOI arXiv
Curry, Justin Michael Dualities between cellular sheaves and cosheaves. (English) Zbl 06807037 J. Pure Appl. Algebra 222, No. 4, 966-993 (2018). MSC: 18E30 18F20 18G05 55U30 06A11 01-02 PDF BibTeX XML Cite \textit{J. M. Curry}, J. Pure Appl. Algebra 222, No. 4, 966--993 (2018; Zbl 06807037) Full Text: DOI
Huang, Chaoling; Liu, Kaituo \(\mathcal{W}\)-Gorenstein objects in triangulated categories. (English) Zbl 1424.18023 Turk. J. Math. 41, No. 1, 138-157 (2017). MSC: 18G25 18G30 55N20 PDF BibTeX XML Cite \textit{C. Huang} and \textit{K. Liu}, Turk. J. Math. 41, No. 1, 138--157 (2017; Zbl 1424.18023) Full Text: DOI
Amrani, Ilias A remark on the Farrell-Jones conjecture. (English) Zbl 1408.19002 New York J. Math. 23, 1357-1362 (2017). MSC: 19D50 55P47 55N20 55P20 18F25 18E30 PDF BibTeX XML Cite \textit{I. Amrani}, New York J. Math. 23, 1357--1362 (2017; Zbl 1408.19002) Full Text: Link arXiv
Steen, Johan; Stevenson, Greg Enrichment and representability for triangulated categories. (English) Zbl 1406.16003 Doc. Math. 22, 1031-1062 (2017). MSC: 16D90 18E30 55U35 PDF BibTeX XML Cite \textit{J. Steen} and \textit{G. Stevenson}, Doc. Math. 22, 1031--1062 (2017; Zbl 1406.16003) Full Text: DOI arXiv
López Martín, Ana Cristina; Tejero Prieto, Carlos Derived equivalences and Kodaira fibers. (English) Zbl 06803449 J. Geom. Phys. 122, 69-79 (2017). MSC: 14F08 14H52 18E25 18G80 PDF BibTeX XML Cite \textit{A. C. López Martín} and \textit{C. Tejero Prieto}, J. Geom. Phys. 122, 69--79 (2017; Zbl 06803449) Full Text: DOI
Hörmann, Fritz Fibered multiderivators and (co)homological descent. (English) Zbl 1380.55017 Theory Appl. Categ. 32, 1258-1362 (2017). Reviewer: Philippe Gaucher (Paris) MSC: 55U35 14F05 18D10 18D30 18E30 18G99 PDF BibTeX XML Cite \textit{F. Hörmann}, Theory Appl. Categ. 32, 1258--1362 (2017; Zbl 1380.55017) Full Text: EMIS
Saorín, Manuel Dg algebras with enough idempotents, their dg modules and their derived categories. (English) Zbl 1370.16007 Algebra Discrete Math. 23, No. 1, 62-137 (2017). MSC: 16E45 18E30 16E35 18E25 PDF BibTeX XML Cite \textit{M. Saorín}, Algebra Discrete Math. 23, No. 1, 62--137 (2017; Zbl 1370.16007)
Belmans, Pieter; Klein, Sebastian Relative tensor triangular Chow groups for coherent algebras. (English) Zbl 1400.14049 J. Algebra 487, 386-428 (2017). MSC: 14F05 14A22 14C15 14C35 18E30 18F25 PDF BibTeX XML Cite \textit{P. Belmans} and \textit{S. Klein}, J. Algebra 487, 386--428 (2017; Zbl 1400.14049) Full Text: DOI
Krause, Henning Highest weight categories and strict polynomial functors. With an appendix by Cosima Aquilino. (English) Zbl 1405.20039 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 331-373 (2017). MSC: 20G05 18E30 18G10 20G10 20G43 PDF BibTeX XML Cite \textit{H. Krause}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 331--373 (2017; Zbl 1405.20039)
Gillespie, James Models for homotopy categories of injectives and Gorenstein injectives. (English) Zbl 1373.18007 Commun. Algebra 45, No. 6, 2520-2545 (2017). Reviewer: Thomas Huettemann (Belfast) MSC: 18E30 18E15 18G25 18-01 55U35 PDF BibTeX XML Cite \textit{J. Gillespie}, Commun. Algebra 45, No. 6, 2520--2545 (2017; Zbl 1373.18007) Full Text: DOI arXiv
Cautis, Sabin; Kamnitzer, Joel Knot homology via derived categories of coherent sheaves. IV: Coloured links. (English) Zbl 1378.14011 Quantum Topol. 8, No. 2, 381-411 (2017). MSC: 14F05 57M27 18D05 18F30 55N22 18E30 14M15 PDF BibTeX XML Cite \textit{S. Cautis} and \textit{J. Kamnitzer}, Quantum Topol. 8, No. 2, 381--411 (2017; Zbl 1378.14011) Full Text: DOI arXiv
Coulembier, Kevin; Mazorchuk, Volodymyr Dualities and derived equivalences for category \(\mathcal{O}\). (English) Zbl 1419.17012 Isr. J. Math. 219, No. 2, 661-706 (2017). MSC: 17B10 17B20 17B35 16E35 18E30 PDF BibTeX XML Cite \textit{K. Coulembier} and \textit{V. Mazorchuk}, Isr. J. Math. 219, No. 2, 661--706 (2017; Zbl 1419.17012) Full Text: DOI
Benson, Dave; Iyengar, Srikanth; Krause, Henning; Pevtsova, Julia Colocalising subcategories of modules over finite group schemes. (English) Zbl 1390.20009 Ann. \(K\)-Theory 2, No. 3, 387-408 (2017). Reviewer: Thorsten Heidersdorf (Bonn) MSC: 20C20 18E30 14L15 20G10 20J06 PDF BibTeX XML Cite \textit{D. Benson} et al., Ann. \(K\)-Theory 2, No. 3, 387--408 (2017; Zbl 1390.20009) Full Text: DOI arXiv
Balmer, Paul; Sanders, Beren The spectrum of the equivariant stable homotopy category of a finite group. (English) Zbl 1373.18016 Invent. Math. 208, No. 1, 283-326 (2017). Reviewer: Jiří Rosický (Brno) MSC: 18G55 55P42 55U35 PDF BibTeX XML Cite \textit{P. Balmer} and \textit{B. Sanders}, Invent. Math. 208, No. 1, 283--326 (2017; Zbl 1373.18016) Full Text: DOI arXiv
Saorín, Manuel On locally coherent hearts. (English) Zbl 1360.18017 Pac. J. Math. 287, No. 1, 199-221 (2017). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18E15 18E30 13Dxx 14Axx 16Exx PDF BibTeX XML Cite \textit{M. Saorín}, Pac. J. Math. 287, No. 1, 199--221 (2017; Zbl 1360.18017) Full Text: DOI arXiv
Ikeda, Akishi Stability conditions on \(\mathrm{CY}_N\) categories associated to \(A_n\)-quivers and period maps. (English) Zbl 1361.14015 Math. Ann. 367, No. 1-2, 1-49 (2017). Reviewer: Yalong Cao (Hong Kong) MSC: 14F05 14J32 14A22 16G20 14N35 16G10 16E35 18E30 PDF BibTeX XML Cite \textit{A. Ikeda}, Math. Ann. 367, No. 1--2, 1--49 (2017; Zbl 1361.14015) Full Text: DOI
Angeleri Hügel, Lidia; Kussin, Dirk Large tilting sheaves over weighted noncommutative regular projective curves. (English) Zbl 1357.14006 Doc. Math. 22, 67-134 (2017). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 18E15 14H45 14H52 16G70 PDF BibTeX XML Cite \textit{L. Angeleri Hügel} and \textit{D. Kussin}, Doc. Math. 22, 67--134 (2017; Zbl 1357.14006) Full Text: EMIS
Reyes, Manuel; Rogalski, Daniel; Zhang, James J. Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras. (English) Zbl 1430.18011 Trans. Am. Math. Soc. 369, No. 1, 309-340 (2017). MSC: 18G80 16E35 16E65 16L60 16S38 PDF BibTeX XML Cite \textit{M. Reyes} et al., Trans. Am. Math. Soc. 369, No. 1, 309--340 (2017; Zbl 1430.18011) Full Text: DOI arXiv
Balmer, Paul; Dell’Ambrogio, Ivo; Sanders, Beren Grothendieck-Neeman duality and the Wirthmüller isomorphism. (English) Zbl 1408.18026 Compos. Math. 152, No. 8, 1740-1776 (2016). Reviewer: Fosco Loregian (Mestrino) MSC: 18G80 14F08 55U35 PDF BibTeX XML Cite \textit{P. Balmer} et al., Compos. Math. 152, No. 8, 1740--1776 (2016; Zbl 1408.18026) Full Text: DOI arXiv
Gillespie, James Hereditary abelian model categories. (English) Zbl 1372.18001 Bull. Lond. Math. Soc. 48, No. 6, 895-922 (2016). Reviewer: Thomas Huettemann (Belfast) MSC: 18-02 18E30 18G55 55U35 PDF BibTeX XML Cite \textit{J. Gillespie}, Bull. Lond. Math. Soc. 48, No. 6, 895--922 (2016; Zbl 1372.18001) Full Text: DOI
Chuang, Joseph; Lazarev, Andrey; Mannan, Wajid Koszul-Morita duality. (English) Zbl 1371.16011 J. Noncommut. Geom. 10, No. 4, 1541-1557 (2016). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16E45 16E35 16D90 18E30 18G99 PDF BibTeX XML Cite \textit{J. Chuang} et al., J. Noncommut. Geom. 10, No. 4, 1541--1557 (2016; Zbl 1371.16011) Full Text: DOI arXiv
Kuribayashi, Katsuhiko The ghost length and duality on the chain and cochain type levels. (English) Zbl 1365.18009 Homology Homotopy Appl. 18, No. 2, 107-132 (2016). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 18E30 16E45 55R20 13D07 PDF BibTeX XML Cite \textit{K. Kuribayashi}, Homology Homotopy Appl. 18, No. 2, 107--132 (2016; Zbl 1365.18009) Full Text: DOI arXiv
Wei, Zhaoting Twisted complexes on a ringed space as a dg-enhancement of the derived category of perfect complexes. (English) Zbl 1359.14018 Eur. J. Math. 2, No. 3, 716-759 (2016). Reviewer: Giovanni Faonte (Bonn) MSC: 14F05 16E45 18E30 PDF BibTeX XML Cite \textit{Z. Wei}, Eur. J. Math. 2, No. 3, 716--759 (2016; Zbl 1359.14018) Full Text: DOI arXiv
Parra, Carlos E.; Saorín, Manuel On hearts which are module categories. (English) Zbl 1397.16026 J. Math. Soc. Japan 68, No. 4, 1421-1460 (2016). MSC: 16S90 16E35 18E30 PDF BibTeX XML Cite \textit{C. E. Parra} and \textit{M. Saorín}, J. Math. Soc. Japan 68, No. 4, 1421--1460 (2016; Zbl 1397.16026) Full Text: DOI arXiv
Seidel, Paul Fukaya \(A_{\infty}\)-categories associated to Lefschetz fibrations. II \(\tfrac{1}{2}\). (English) Zbl 1359.53062 Adv. Theor. Math. Phys. 20, No. 4, 883-944 (2016). Reviewer: Akira Asada (Takarazuka) MSC: 53D12 16E45 18F15 14D15 18E30 53D40 PDF BibTeX XML Cite \textit{P. Seidel}, Adv. Theor. Math. Phys. 20, No. 4, 883--944 (2016; Zbl 1359.53062) Full Text: DOI
Toën, Bertrand; Vaquié, Michel Point systems in saturated dg-categories. (Systèmes de points dans les dg-catégories saturées.) (French. English summary) Zbl 1364.18007 Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 2-3, Part B, 583-618 (2016). Reviewer: Giovanni Faonte (Bonn) MSC: 18E30 14A20 14F05 PDF BibTeX XML Cite \textit{B. Toën} and \textit{M. Vaquié}, Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 2--3, Part B, 583--618 (2016; Zbl 1364.18007) Full Text: DOI
Dell’Ambrogio, Ivo; Stanley, Donald Affine weakly regular tensor triangulated categories. (English) Zbl 1360.18021 Pac. J. Math. 285, No. 1, 93-109 (2016). Reviewer: Niles Johnson (Newark) MSC: 18E30 55P42 55U35 PDF BibTeX XML Cite \textit{I. Dell'Ambrogio} and \textit{D. Stanley}, Pac. J. Math. 285, No. 1, 93--109 (2016; Zbl 1360.18021) Full Text: DOI arXiv
Orlov, Dmitri Smooth and proper noncommutative schemes and gluing of dg categories. (English) Zbl 1368.14031 Adv. Math. 302, 59-105 (2016). Reviewer: John Zhang (Los Angeles) MSC: 14A30 14A22 16E45 18G80 14F08 18G35 PDF BibTeX XML Cite \textit{D. Orlov}, Adv. Math. 302, 59--105 (2016; Zbl 1368.14031) Full Text: DOI arXiv
Chen, Xinhong; Lu, Ming Derived equivalences and recollements of differential graded algebras and schemes. (English) Zbl 1362.16011 Algebra Colloq. 23, No. 3, 385-408 (2016). MSC: 16E45 18E30 14F05 PDF BibTeX XML Cite \textit{X. Chen} and \textit{M. Lu}, Algebra Colloq. 23, No. 3, 385--408 (2016; Zbl 1362.16011) Full Text: DOI
Barbieri-Viale, Luca; Kahn, Bruno On the derived category of 1-motives. (English) Zbl 1356.19001 Astérisque 381. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-837-4/pbk). xi, 254 p. (2016). Reviewer: Piotr Krasoń (Szczecin) MSC: 19E15 14C15 14F20 14C30 18E30 PDF BibTeX XML Cite \textit{L. Barbieri-Viale} and \textit{B. Kahn}, On the derived category of 1-motives. Paris: Société Mathématique de France (SMF) (2016; Zbl 1356.19001)
Kalck, Martin; Yang, Dong Relative singularity categories. I: Auslander resolutions. (English) Zbl 1348.14009 Adv. Math. 301, 973-1021 (2016). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14B05 14E15 18E30 PDF BibTeX XML Cite \textit{M. Kalck} and \textit{D. Yang}, Adv. Math. 301, 973--1021 (2016; Zbl 1348.14009) Full Text: DOI arXiv