Mondal, Mandira; Trivedi, Vijaylaxmi Density function for the second coefficient of the Hilbert-Kunz function on projective toric varieties. (English) Zbl 1446.13010 J. Algebr. Comb. 51, No. 3, 317-351 (2020). MSC: 13D40 13H15 14M25 52B20 52C22 PDF BibTeX XML Cite \textit{M. Mondal} and \textit{V. Trivedi}, J. Algebr. Comb. 51, No. 3, 317--351 (2020; Zbl 1446.13010) Full Text: DOI
Zhukova, Alla Adol’fovna; Shutov, Anton Vladimirovich Rauzy substitution and local structure of torus tilings. (Russian. English summary) Zbl 1455.37017 Chebyshevskiĭ Sb. 20, No. 4(72), 137-157 (2019). MSC: 37B52 11B05 PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 20, No. 4(72), 137--157 (2019; Zbl 1455.37017) Full Text: DOI MNR
Zhuravlev, V. G. Unimodularity of induced toric tilings. (English. Russian original) Zbl 1430.52030 J. Math. Sci., New York 242, No. 4, 509-530 (2019); translation from Zap. Nauchn. Semin. POMI 469, 64-95 (2018). MSC: 52C22 52C23 PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 242, No. 4, 509--530 (2019; Zbl 1430.52030); translation from Zap. Nauchn. Semin. POMI 469, 64--95 (2018) Full Text: DOI
Nakajima, Yusuke Semi-steady non-commutative crepant resolutions via regular dimer models. (English) Zbl 1419.13019 Algebr. Comb. 2, No. 2, 173-195 (2019). Reviewer: Dennis Keeler (Oxford, OH) MSC: 13C14 05B45 14E15 16S38 PDF BibTeX XML Cite \textit{Y. Nakajima}, Algebr. Comb. 2, No. 2, 173--195 (2019; Zbl 1419.13019) Full Text: DOI arXiv
Mondal, Mandira; Trivedi, V. Hilbert-Kunz density function and asymptotic Hilbert-Kunz multiplicity for projective toric varieties. (English) Zbl 1434.13017 J. Algebra 520, 479-516 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 13D40 13H15 14M25 52B20 52C22 PDF BibTeX XML Cite \textit{M. Mondal} and \textit{V. Trivedi}, J. Algebra 520, 479--516 (2019; Zbl 1434.13017) Full Text: DOI arXiv
Shutov, Anton Vladimirovich Substitutions and bounded remainder sets. (Russian. English summary) Zbl 1445.11076 Chebyshevskiĭ Sb. 19, No. 2(66), 501-522 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K06 11K38 11K55 PDF BibTeX XML Cite \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 19, No. 2(66), 501--522 (2018; Zbl 1445.11076) Full Text: DOI MNR
Stienstra, Jan Zhegalkin zebra motives digital recordings of mirror symmetry. (English) Zbl 1402.52021 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 110, 29 p. (2018). MSC: 52C20 82B20 14M25 PDF BibTeX XML Cite \textit{J. Stienstra}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 110, 29 p. (2018; Zbl 1402.52021) Full Text: DOI arXiv
He, Yang-Hui; Hu, Zhi; Probst, Malte; Read, James Yang-Mills theory and the ABC conjecture. (English) Zbl 1388.81328 Int. J. Mod. Phys. A 33, No. 13, Article ID 1850053, 44 p. (2018). MSC: 81T13 81T60 82B20 81T30 14M25 14D21 PDF BibTeX XML Cite \textit{Y.-H. He} et al., Int. J. Mod. Phys. A 33, No. 13, Article ID 1850053, 44 p. (2018; Zbl 1388.81328) Full Text: DOI arXiv
Zhuravlev, V. G. Periodic karyon expansions of cubic irrationals in continued fractions. (English. Russian original) Zbl 1436.11082 Proc. Steklov Inst. Math. 296, Suppl. 2, S36-S60 (2017); translation from Sovrem. Probl. Mat. 23, 41 66 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 11J70 PDF BibTeX XML Full Text: DOI
Zhukova, A. A.; Shutov, A. V. On the distribution function of the remainder term on bounded remainder sets. (Russian. English summary) Zbl 1440.11128 Chebyshevskiĭ Sb. 17, No. 1(57), 90-107 (2016). MSC: 11J71 37A44 PDF BibTeX XML Cite \textit{A. A. Zhukova} and \textit{A. V. Shutov}, Chebyshevskiĭ Sb. 17, No. 1(57), 90--107 (2016; Zbl 1440.11128) Full Text: MNR
Arbo, Matthew; Proudfoot, Nicholas Hypertoric varieties and zonotopal tilings. (English) Zbl 1404.14058 Int. Math. Res. Not. 2016, No. 23, 7268-7301 (2016). MSC: 14M25 52C22 PDF BibTeX XML Cite \textit{M. Arbo} and \textit{N. Proudfoot}, Int. Math. Res. Not. 2016, No. 23, 7268--7301 (2016; Zbl 1404.14058) Full Text: DOI arXiv
Zhuravlev, V. G. Dividing toric tilings and bounded remainder sets. (English. Russian original) Zbl 1354.11058 J. Math. Sci., New York 217, No. 1, 65-80 (2016); translation from Zap. Nauchn. Semin. POMI 440, 99-122 (2015). MSC: 11K60 05B45 52C20 37B50 PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 217, No. 1, 65--80 (2016; Zbl 1354.11058); translation from Zap. Nauchn. Semin. POMI 440, 99--122 (2015) Full Text: DOI
Zhuravlev, V. G. Two-dimensional approximations by the method of dividing toric tilings. (English. Russian original) Zbl 1354.11049 J. Math. Sci., New York 217, No. 1, 54-64 (2016); translation from Zap. Nauchn. Semin. POMI 440, 81-98 (2015). MSC: 11J71 37E30 PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 217, No. 1, 54--64 (2016; Zbl 1354.11049); translation from Zap. Nauchn. Semin. POMI 440, 81--98 (2015) Full Text: DOI
Oda, Tadao Algebro-geometric stability and crystals. (English) Zbl 1292.52024 J. Ramanujan Math. Soc. 28A, Spec. Iss., 353-408 (2013). MSC: 52C22 05C40 14M25 14T05 52C23 74E15 82B20 82D25 PDF BibTeX XML Cite \textit{T. Oda}, J. Ramanujan Math. Soc. 28A, 353--408 (2013; Zbl 1292.52024)
Oda, Tadao Voronoi tilings hidden in crystals. The case of maximal abelian coverings. (English) Zbl 1264.05106 Tohoku Math. J. (2) 65, No. 1, 1-30 (2013). MSC: 05C70 05C40 05C90 14T05 74E15 82B20 82D25 14M25 52C22 PDF BibTeX XML Cite \textit{T. Oda}, Tohoku Math. J. (2) 65, No. 1, 1--30 (2013; Zbl 1264.05106) Full Text: DOI Euclid arXiv
Oda, Tadao Convex polyhedral tilings hidden in crystals and quasicrystals. (English) Zbl 1262.52019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 107, No. 1, 123-143 (2013). MSC: 52C22 52C23 05C05 05C40 74E15 82B20 82D25 14M25 PDF BibTeX XML Cite \textit{T. Oda}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 107, No. 1, 123--143 (2013; Zbl 1262.52019) Full Text: DOI
Alexeev, Valery; Livingston, Ryan; Tenini, Joseph; Arap, Maxim; Hu, Xiaoyan; Huckaba, Lauren; McFaddin, Patrick; Musgrave, Stacy; Shin, Jaeho; Ulrich, Catherine Extended Torelli map to the Igusa blowup in genus 6, 7, and 8. (English) Zbl 1246.14037 Exp. Math. 21, No. 2, 193-203 (2012). Reviewer: Dan Petersen (Stockholm) MSC: 14H10 14D22 14K10 05C75 11E12 52C22 14M25 PDF BibTeX XML Cite \textit{V. Alexeev} et al., Exp. Math. 21, No. 2, 193--203 (2012; Zbl 1246.14037) Full Text: DOI arXiv
Verger-Gaugry, Jean-Louis Mathematical quasicrystals with toric internal spaces. (English) Zbl 0992.52007 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 260-272 (1999). MSC: 52C23 82D25 PDF BibTeX XML Cite \textit{J.-L. Verger-Gaugry}, in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 260--272 (1999; Zbl 0992.52007)