Artebani, Michela; Comparin, Paola; Guilbot, Robin Quasismooth hypersurfaces in toric varieties. (English) Zbl 1423.14285 Proc. Am. Math. Soc. 147, No. 11, 4565-4579 (2019). Reviewer: Felipe Zaldívar (Mexico City) MSC: 14M25 14J70 14J32 14J17 14L30 PDF BibTeX XML Cite \textit{M. Artebani} et al., Proc. Am. Math. Soc. 147, No. 11, 4565--4579 (2019; Zbl 1423.14285) Full Text: DOI arXiv OpenURL
Ahmadinezhad, Hamid On pliability of del Pezzo fibrations and Cox rings. (English) Zbl 1362.14013 J. Reine Angew. Math. 723, 101-125 (2017). Reviewer: Lei Song (Lawrence) MSC: 14E05 14E30 14E07 14E08 PDF BibTeX XML Cite \textit{H. Ahmadinezhad}, J. Reine Angew. Math. 723, 101--125 (2017; Zbl 1362.14013) Full Text: DOI arXiv OpenURL
Kawamata, Yujiro; Okawa, Shinnosuke Mori dream spaces of Calabi-Yau type and log canonicity of Cox rings. (English) Zbl 1314.14080 J. Reine Angew. Math. 701, 195-203 (2015). Reviewer: Diletta Martinelli (London) MSC: 14J32 14E30 14B05 PDF BibTeX XML Cite \textit{Y. Kawamata} and \textit{S. Okawa}, J. Reine Angew. Math. 701, 195--203 (2015; Zbl 1314.14080) Full Text: DOI arXiv OpenURL
Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio Cox rings. (English) Zbl 1360.14001 Cambridge Studies in Advanced Mathematics 144. Cambridge: Cambridge University Press (ISBN 978-1-107-02462-5/hbk; 978-1-139-17585-2/ebook). viii, 530 p. (2015). Reviewer: Piotr Pokora (Hannover) MSC: 14-02 14C20 14L30 14M25 PDF BibTeX XML Cite \textit{I. Arzhantsev} et al., Cox rings. Cambridge: Cambridge University Press (2015; Zbl 1360.14001) Full Text: DOI arXiv OpenURL
Arzhantsev, Ivan; Hausen, Jürgen; Herppich, Elaine; Liendo, Alvaro The automorphism group of a variety with torus action of complexity one. (English) Zbl 1332.14049 Mosc. Math. J. 14, No. 3, 429-471 (2014). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14J50 13A02 13N15 14M25 14J45 PDF BibTeX XML Cite \textit{I. Arzhantsev} et al., Mosc. Math. J. 14, No. 3, 429--471 (2014; Zbl 1332.14049) Full Text: arXiv Link OpenURL
Cox, David A. Erratum to “The homogeneous coordinate ring of a toric variety”. (English) Zbl 1285.14055 J. Algebr. Geom. 23, No. 2, 393-398 (2014). MSC: 14M25 14L30 55U10 14E07 14M17 PDF BibTeX XML Cite \textit{D. A. Cox}, J. Algebr. Geom. 23, No. 2, 393--398 (2014; Zbl 1285.14055) Full Text: DOI OpenURL
Arzhantsev, Ivan; Bazhov, Ivan On orbits of the automorphism group on an affine toric variety. (English) Zbl 1316.14097 Cent. Eur. J. Math. 11, No. 10, 1713-1724 (2013). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14M25 14R20 14J50 14L30 PDF BibTeX XML Cite \textit{I. Arzhantsev} and \textit{I. Bazhov}, Cent. Eur. J. Math. 11, No. 10, 1713--1724 (2013; Zbl 1316.14097) Full Text: DOI arXiv OpenURL
Facchini, Laura; González-Alonso, Victor; Lasoń, Michał Cox rings of du Val singularities. (English) Zbl 1252.14005 Matematiche 66, No. 2, 115-136 (2011). Reviewer: Andras Nemethi (Budapest) MSC: 14B05 14N10 14J17 14E99 PDF BibTeX XML Cite \textit{L. Facchini} et al., Matematiche 66, No. 2, 115--136 (2011; Zbl 1252.14005) Full Text: arXiv Link OpenURL
Arzhantsev, I. V. On the factoriality of Cox rings. (English. Russian original) Zbl 1192.14008 Math. Notes 85, No. 5, 623-629 (2009); translation from Mat. Zametki 85, No. 5, 643-651 (2009). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14C20 13A02 13F15 PDF BibTeX XML Cite \textit{I. V. Arzhantsev}, Math. Notes 85, No. 5, 623--629 (2009; Zbl 1192.14008); translation from Mat. Zametki 85, No. 5, 643--651 (2009) Full Text: DOI arXiv OpenURL
Stillman, Mike; Testa, Damiano; Velasco, Mauricio Gröbner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces. (English) Zbl 1129.14047 J. Algebra 316, No. 2, 777-801 (2007). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14J26 13P10 PDF BibTeX XML Cite \textit{M. Stillman} et al., J. Algebra 316, No. 2, 777--801 (2007; Zbl 1129.14047) Full Text: DOI arXiv Link OpenURL
Perling, Markus Toric varieties as spectra of homogeneous prime ideals. (English) Zbl 1128.14038 Geom. Dedicata 127, 121-129 (2007). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14M25 PDF BibTeX XML Cite \textit{M. Perling}, Geom. Dedicata 127, 121--129 (2007; Zbl 1128.14038) Full Text: DOI arXiv OpenURL
Peyre, Emmanuel Obstructions to the Hasse principle and weak approximation. (Obstructions au principe de Hasse et à l’approximation faible.) (French) Zbl 1080.14026 Bourbaki seminar. Volume 2003/2004. Exposes 924–937. Paris: Société Mathématique de France (ISBN 2-85629-173-2/pbk). Astérisque 299, 165-193, Exp. No. 931 (2005). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 14G25 11G35 PDF BibTeX XML Cite \textit{E. Peyre}, Astérisque 299, 165--193, Exp. No. 931 (2005; Zbl 1080.14026) OpenURL
Maclagan, Diane; Smith, Gregory G. Uniform bounds on multigraded regularity. (English) Zbl 1070.14006 J. Algebr. Geom. 14, No. 1, 137-164 (2005). Reviewer: Yoichi Aoyama (Shimane) MSC: 14B15 13D45 13F20 14M25 14C05 PDF BibTeX XML Cite \textit{D. Maclagan} and \textit{G. G. Smith}, J. Algebr. Geom. 14, No. 1, 137--164 (2005; Zbl 1070.14006) Full Text: DOI arXiv OpenURL
Halic, Mihai Families of toric varieties. (English) Zbl 1040.14014 Math. Nachr. 261-262, 60-84 (2003). MSC: 14H10 14M25 14L30 PDF BibTeX XML Cite \textit{M. Halic}, Math. Nachr. 261--262, 60--84 (2003; Zbl 1040.14014) Full Text: DOI arXiv Link OpenURL
Berchtold, Florian; Hausen, Jürgen Homogeneous coordinates for algebraic varieties. (English) Zbl 1073.14001 J. Algebra 266, No. 2, 636-670 (2003). Reviewer: Alfio Ragusa (Catania) MSC: 14A10 13A02 14L30 14M25 14C22 PDF BibTeX XML Cite \textit{F. Berchtold} and \textit{J. Hausen}, J. Algebra 266, No. 2, 636--670 (2003; Zbl 1073.14001) Full Text: DOI arXiv OpenURL
A’Campo-Neuen, Annette; Hausen, Jürgen Toric prevarieties and subtorus actions. (English) Zbl 1072.14531 Geom. Dedicata 87, No. 1-3, 35-64 (2001). MSC: 14M25 14L30 PDF BibTeX XML Cite \textit{A. A'Campo-Neuen} and \textit{J. Hausen}, Geom. Dedicata 87, No. 1--3, 35--64 (2001; Zbl 1072.14531) Full Text: DOI arXiv OpenURL
Cox, David A. Toric varieties and toric resolutions. (English) Zbl 0969.14035 Hauser, H. (ed.) et al., Resolution of singularities. A research textbook in tribute to Oscar Zariski. Based on the courses given at the working week in Obergurgl, Austria, September 7-14, 1997. Basel: Birkhäuser. Prog. Math. 181, 259-284 (2000). Reviewer: D. A. Timashev (Moskva) MSC: 14M25 14E15 14M15 14C20 PDF BibTeX XML Cite \textit{D. A. Cox}, Prog. Math. 181, 259--284 (2000; Zbl 0969.14035) OpenURL
Kajiwara, Takeshi The functor of a toric variety with enough invariant effective Cartier divisors. (English) Zbl 0949.14032 Tohoku Math. J., II. Ser. 50, No. 1, 139-157 (1998). Reviewer: G.K.Sankaran (Bath) MSC: 14M25 14C20 14E99 PDF BibTeX XML Cite \textit{T. Kajiwara}, Tohoku Math. J. (2) 50, No. 1, 139--157 (1998; Zbl 0949.14032) Full Text: DOI OpenURL
Perkinson, David Principal parts of line bundles on toric varieties. (English) Zbl 0895.14016 Compos. Math. 104, No. 1, 27-39 (1996). MSC: 14M25 14C20 14F05 PDF BibTeX XML Cite \textit{D. Perkinson}, Compos. Math. 104, No. 1, 27--39 (1996; Zbl 0895.14016) Full Text: Numdam EuDML OpenURL
Oda, Tadao Recent topics on toric varieties. (English. Japanese original) Zbl 0862.14035 Transl., Ser. 2, Am. Math. Soc. 172, 77-91 (1996); translation from Sugaku 46, No. 4, 323-335 (1994). Reviewer: T.Oda (Tôhoku) MSC: 14M25 14J45 14C20 PDF BibTeX XML Cite \textit{T. Oda}, Transl., Ser. 2, Am. Math. Soc. 172, 1 (1994; Zbl 0862.14035); translation from Sugaku 46, No. 4, 323--335 (1994) OpenURL
Batyrev, Victor V.; Cox, David A. On the Hodge structure of projective hypersurfaces in toric varieties. (English) Zbl 0851.14021 Duke Math. J. 75, No. 2, 293-338 (1994). Reviewer: T.Oda (Sendai) MSC: 14M25 14C30 14J70 PDF BibTeX XML Cite \textit{V. V. Batyrev} and \textit{D. A. Cox}, Duke Math. J. 75, No. 2, 293--338 (1994; Zbl 0851.14021) Full Text: DOI arXiv OpenURL