Mella, Massimiliano Birational geometry of rational quartic surfaces. (English. French summary) Zbl 1441.14052 J. Math. Pures Appl. (9) 141, 89-98 (2020). Reviewer: Giosuè Muratore (Roma) MSC: 14E25 14E05 14N05 14E07 PDF BibTeX XML Cite \textit{M. Mella}, J. Math. Pures Appl. (9) 141, 89--98 (2020; Zbl 1441.14052) Full Text: DOI
Ngô, Lâm Xuân Châu; Trong Thi, Ha Möbius transformations on algebraic ODEs of order one and algebraic general solutions of the autonomous equivalence classes. (English) Zbl 1451.34045 J. Comput. Appl. Math. 380, Article ID 112999, 8 p. (2020). Reviewer: Guy Katriel (Haifa) MSC: 34C20 34A09 34C41 34A05 PDF BibTeX XML Cite \textit{L. X. C. Ngô} and \textit{H. Trong Thi}, J. Comput. Appl. Math. 380, Article ID 112999, 8 p. (2020; Zbl 1451.34045) Full Text: DOI
McLean, Mark Birational Calabi-Yau manifolds have the same small quantum products. (English) Zbl 1436.14092 Ann. Math. (2) 191, No. 2, 439-579 (2020). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 53D45 53D40 PDF BibTeX XML Cite \textit{M. McLean}, Ann. Math. (2) 191, No. 2, 439--579 (2020; Zbl 1436.14092) Full Text: DOI arXiv
Manivel, Laurent Double spinor Calabi-Yau varieties. (English) Zbl 1443.14042 Épijournal de Géom. Algébr., EPIGA 3, Article No. 2, 14 p. (2019). Reviewer: Quanting Zhao (Wuhan) MSC: 14J32 14D06 14F08 PDF BibTeX XML Cite \textit{L. Manivel}, Épijournal de Géom. Algébr., EPIGA 3, Article No. 2, 14 p. (2019; Zbl 1443.14042) Full Text: Link arXiv
Zafar, Sundus; Cima, Anna Dynamical classification of a family of birational maps of \(\mathbb{C}^2\) via algebraic entropy. (English) Zbl 1440.37008 Qual. Theory Dyn. Syst. 18, No. 2, 631-652 (2019). MSC: 37A35 14E05 28D20 32H50 37C15 39A23 39A45 PDF BibTeX XML Cite \textit{S. Zafar} and \textit{A. Cima}, Qual. Theory Dyn. Syst. 18, No. 2, 631--652 (2019; Zbl 1440.37008) Full Text: DOI
Chen, Xi; Zhu, Yi \({\mathbb A}^1\)-curves on affine complete intersections. (English) Zbl 1400.14018 Sel. Math., New Ser. 24, No. 4, 3823-3834 (2018). Reviewer: Fumio Hazama (Hatoyama) MSC: 14C15 14J28 14E05 PDF BibTeX XML Cite \textit{X. Chen} and \textit{Y. Zhu}, Sel. Math., New Ser. 24, No. 4, 3823--3834 (2018; Zbl 1400.14018) Full Text: DOI arXiv
Kodrnja, Iva On a simple model of \(X_0(N)\). (English) Zbl 1436.11045 Monatsh. Math. 186, No. 4, 653-661 (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11F11 11F23 PDF BibTeX XML Cite \textit{I. Kodrnja}, Monatsh. Math. 186, No. 4, 653--661 (2018; Zbl 1436.11045) Full Text: DOI arXiv
Ottem, John Christian; Rennemo, Jørgen Vold A counterexample to the birational Torelli problem for Calabi-Yau threefolds. (English) Zbl 1393.14006 J. Lond. Math. Soc., II. Ser. 97, No. 3, 427-440 (2018). Reviewer: Yalong Cao (Oxford) MSC: 14C34 14J32 14F05 PDF BibTeX XML Cite \textit{J. C. Ottem} and \textit{J. V. Rennemo}, J. Lond. Math. Soc., II. Ser. 97, No. 3, 427--440 (2018; Zbl 1393.14006) Full Text: DOI
Wemyss, Michael Flops and clusters in the homological minimal model programme. (English) Zbl 1390.14012 Invent. Math. 211, No. 2, 435-521 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14E30 PDF BibTeX XML Cite \textit{M. Wemyss}, Invent. Math. 211, No. 2, 435--521 (2018; Zbl 1390.14012) Full Text: DOI
Kollár, János Conic bundles that are not birational to numerical Calabi-Yau pairs. (Fibrés en coniques qui ne sont pas birationnels à des paires de Calabi-Yau numériques.) (English. French summary) Zbl 07003731 Épijournal de Géom. Algébr., EPIGA 1, Article No. 1, 14 p. (2017). MSC: 14M22 14J45 14J20 14J32 14E05 PDF BibTeX XML Cite \textit{J. Kollár}, Épijournal de Géom. Algébr., EPIGA 1, Article No. 1, 14 p. (2017; Zbl 07003731) Full Text: Link arXiv
Oguiso, Keiji Isomorphic quartic \(K3\) surfaces in the view of Cremona and projective transformations. (English) Zbl 1391.14076 Taiwanese J. Math. 21, No. 3, 671-688 (2017). Reviewer: Makiko Mase (Tokyo) MSC: 14J28 14J50 14E07 PDF BibTeX XML Cite \textit{K. Oguiso}, Taiwanese J. Math. 21, No. 3, 671--688 (2017; Zbl 1391.14076) Full Text: DOI Euclid arXiv
Roussey, Sylvain Birational equivalence of \(n\)-Pfister neighbors. (English) Zbl 1422.11074 Commun. Algebra 45, No. 6, 2452-2465 (2017). MSC: 11E04 11E81 14E05 12F20 PDF BibTeX XML Cite \textit{S. Roussey}, Commun. Algebra 45, No. 6, 2452--2465 (2017; Zbl 1422.11074) Full Text: DOI
Gaddis, Jason; Price, Kenneth L. Some algebras similar to the \(2\times2\) Jordanian matrix algebra. (English) Zbl 1395.16026 Commun. Algebra 45, No. 5, 2091-2104 (2017). MSC: 16S36 16S85 16S50 PDF BibTeX XML Cite \textit{J. Gaddis} and \textit{K. L. Price}, Commun. Algebra 45, No. 5, 2091--2104 (2017; Zbl 1395.16026) Full Text: DOI
Cox, Ben; Guo, Xiangqian; Lu, Rencai; Zhao, Kaiming Simple superelliptic Lie algebras. (English) Zbl 1418.17016 Commun. Contemp. Math. 19, No. 3, Article ID 1650032, 22 p. (2017). MSC: 17B05 17B20 17B40 17B60 14H55 PDF BibTeX XML Cite \textit{B. Cox} et al., Commun. Contemp. Math. 19, No. 3, Article ID 1650032, 22 p. (2017; Zbl 1418.17016) Full Text: DOI arXiv
Muić, Goran On degrees and birationality of the maps \(X_0(N)\to \mathbb P^2\) constructed via modular forms. (English) Zbl 1372.11057 Monatsh. Math. 180, No. 3, 607-629 (2016). Reviewer: Emre Alkan (Istanbul) MSC: 11F11 11F23 PDF BibTeX XML Cite \textit{G. Muić}, Monatsh. Math. 180, No. 3, 607--629 (2016; Zbl 1372.11057) Full Text: DOI
Kahn, Bruno; Sujatha, R. Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). (English) Zbl 1349.14052 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 277-334 (2015). MSC: 14E05 18F99 PDF BibTeX XML Cite \textit{B. Kahn} and \textit{R. Sujatha}, Doc. Math. Extra Vol., 277--334 (2015; Zbl 1349.14052) Full Text: EMIS
Planiden, Chayne; Sendov, Hristo Some geometric properties of the solutions of complex multi-affine polynomials of degree three. (English) Zbl 1307.30008 J. Math. Anal. Appl. 426, No. 1, 312-329 (2015). MSC: 30C10 30C15 14E05 PDF BibTeX XML Cite \textit{C. Planiden} and \textit{H. Sendov}, J. Math. Anal. Appl. 426, No. 1, 312--329 (2015; Zbl 1307.30008) Full Text: DOI
Bravo, A.; Villamayor U., O. E. On the behavior of the multiplicity on schemes: stratification and blow ups. (English) Zbl 1330.14019 Ellwood, David (ed.) et al., The resolution of singular algebraic varieties. Proceedings of the Clay Mathematics Institute summer school, Obergurgl, Austria, June 3–30, 2012. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-8982-4/pbk). Clay Mathematics Proceedings 20, 81-207 (2014). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14E15 14B25 14J17 14E99 13A30 13B22 13H15 PDF BibTeX XML Cite \textit{A. Bravo} and \textit{O. E. Villamayor U.}, Clay Math. Proc. 20, 81--207 (2014; Zbl 1330.14019)
Nobile, Augusto Equivalence and resolution of singularities. (English) Zbl 1303.14027 J. Algebra 420, 161-185 (2014). Reviewer: Angélica Benito Sualdea (Ann Arbor) MSC: 14E15 13H15 14B05 14B99 14E99 PDF BibTeX XML Cite \textit{A. Nobile}, J. Algebra 420, 161--185 (2014; Zbl 1303.14027) Full Text: DOI
Mikoč, Damir; Muić, Goran Birational Maps of \(X(1)\) into \(\mathbb P^2\). (English) Zbl 1328.14042 Glas. Mat., III. Ser. 48, No. 2, 301-312 (2013). MSC: 14G35 11F11 11F23 14H50 PDF BibTeX XML Cite \textit{D. Mikoč} and \textit{G. Muić}, Glas. Mat., III. Ser. 48, No. 2, 301--312 (2013; Zbl 1328.14042) Full Text: DOI
Liao, Xia Stable birational equivalence and geometric Chevalley-Warning. (English) Zbl 1298.14021 Proc. Am. Math. Soc. 141, No. 12, 4049-4055 (2013). Reviewer: Mingmin Shen (Amsterdam) MSC: 14E08 14N25 14Q10 PDF BibTeX XML Cite \textit{X. Liao}, Proc. Am. Math. Soc. 141, No. 12, 4049--4055 (2013; Zbl 1298.14021) Full Text: DOI arXiv
Sevostyanov, A. The geometric meaning of Zhelobenko operators. (English) Zbl 1291.17011 Transform. Groups 18, No. 3, 865-875 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B20 17B10 PDF BibTeX XML Cite \textit{A. Sevostyanov}, Transform. Groups 18, No. 3, 865--875 (2013; Zbl 1291.17011) Full Text: DOI
Bannai, Shinzo Relative dihedral group actions on rational elliptic surfaces. (English) Zbl 1314.14068 Kyushu J. Math. 67, No. 1, 1-16 (2013). Reviewer: Matthias Schütt (Hannover) MSC: 14J27 14E07 PDF BibTeX XML Cite \textit{S. Bannai}, Kyushu J. Math. 67, No. 1, 1--16 (2013; Zbl 1314.14068) Full Text: DOI
Duquesne, Sylvain; Fouotsa, Emmanuel Tate pairing computation on Jacobi’s elliptic curves. (English) Zbl 1305.94044 Abdalla, Michel (ed.) et al., Pairing-based cryptography – Pairing 2012. 5th international conference, Cologne, Germany, May 16–18, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-36333-7/pbk). Lecture Notes in Computer Science 7708, 254-269 (2013). MSC: 94A60 14G50 68W40 PDF BibTeX XML Cite \textit{S. Duquesne} and \textit{E. Fouotsa}, Lect. Notes Comput. Sci. 7708, 254--269 (2013; Zbl 1305.94044) Full Text: DOI
Dryło, Robert The generalized stable equivalence problem. (English) Zbl 1285.14067 J. Algebra 371, 554-558 (2012). Reviewer: Karol Palka (Warszawa) MSC: 14R10 14E05 14R20 PDF BibTeX XML Cite \textit{R. Dryło}, J. Algebra 371, 554--558 (2012; Zbl 1285.14067) Full Text: DOI
Ivorra, Florian; Sebag, Julien Piecewise algebraic geometry, \(k\)-equivalence and motives. (Géométrie algébrique par morceaux, \(k\)-équivalence et motifs.) (French) Zbl 1283.14003 Enseign. Math. (2) 58, No. 3-4, 375-403 (2012). Reviewer: Iustin Coandă (Bucureşti) MSC: 14C15 14E05 14J32 PDF BibTeX XML Cite \textit{F. Ivorra} and \textit{J. Sebag}, Enseign. Math. (2) 58, No. 3--4, 375--403 (2012; Zbl 1283.14003) Full Text: DOI
Mella, Massimiliano; Polastri, Elena Equivalent birational embeddings. II: Divisors. (English) Zbl 1259.14011 Math. Z. 270, No. 3-4, 1141-1161 (2012). Reviewer: Zhi Jiang (Paris) MSC: 14E07 14E25 14E08 14N05 14E05 PDF BibTeX XML Cite \textit{M. Mella} and \textit{E. Polastri}, Math. Z. 270, No. 3--4, 1141--1161 (2012; Zbl 1259.14011) Full Text: DOI arXiv
Hisil, Huseyin; Wong, Kenneth Koon-Ho; Carter, Gary; Dawson, Ed An exploration of affine group laws for elliptic curves. (English) Zbl 1248.94070 J. Math. Cryptol. 5, No. 1, 1-50 (2011). MSC: 94A60 14G50 14H52 PDF BibTeX XML Cite \textit{H. Hisil} et al., J. Math. Cryptol. 5, No. 1, 1--50 (2011; Zbl 1248.94070) Full Text: DOI
Aluffi, Paolo; Marcolli, Matilde Graph hypersurfaces and a dichotomy in the Grothendieck ring. (English) Zbl 1211.14013 Lett. Math. Phys. 95, No. 3, 223-232 (2011). MSC: 14C15 14C35 14C30 81T15 14E08 16E20 PDF BibTeX XML Cite \textit{P. Aluffi} and \textit{M. Marcolli}, Lett. Math. Phys. 95, No. 3, 223--232 (2011; Zbl 1211.14013) Full Text: DOI arXiv
Nobile, Augusto On the use of naturality in algorithmic resolution. (English) Zbl 1205.14017 J. Algebra 324, No. 8, 1887-1902 (2010). Reviewer: Angélica Benito Sualdea (Madrid) MSC: 14E15 14F05 14B05 14B99 14E99 PDF BibTeX XML Cite \textit{A. Nobile}, J. Algebra 324, No. 8, 1887--1902 (2010; Zbl 1205.14017) Full Text: DOI
Sebag, Julien \(K\)-equivalent varieties and piecewise geometry. (Variétés \(K\)-équivalentes et géométrie par morceaux.) (French. English summary) Zbl 1211.14019 Arch. Math. 94, No. 3, 207-217 (2010). Reviewer: Wim Veys (Leuven) MSC: 14E05 14C25 14C35 14J32 PDF BibTeX XML Cite \textit{J. Sebag}, Arch. Math. 94, No. 3, 207--217 (2010; Zbl 1211.14019) Full Text: DOI
Mella, Massimiliano; Polastri, Elena Equivalent birational embeddings. (English) Zbl 1184.14021 Bull. Lond. Math. Soc. 41, No. 1, 89-93 (2009). Reviewer: Jérémy Blanc (Genève) MSC: 14E05 14E25 14E08 14N05 PDF BibTeX XML Cite \textit{M. Mella} and \textit{E. Polastri}, Bull. Lond. Math. Soc. 41, No. 1, 89--93 (2009; Zbl 1184.14021) Full Text: DOI arXiv
Coffman, Adam Real equivalence of complex matrix pencils and complex projections of real Segre varieties. (English) Zbl 1173.15003 Electron. J. Linear Algebra 17, 651-698 (2008). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A22 14E05 14J26 14P05 32V40 51N15 PDF BibTeX XML Cite \textit{A. Coffman}, Electron. J. Linear Algebra 17, 651--698 (2008; Zbl 1173.15003) Full Text: DOI EMIS EuDML
Gautier, Sébastien Quadratic centers defining elliptic surfaces. (English) Zbl 1171.34034 J. Differ. Equations 245, No. 12, 3545-3569 (2008). Reviewer: Iliya Iliev (Sofia) MSC: 34C99 37C15 34C08 14J27 34C05 34A05 PDF BibTeX XML Cite \textit{S. Gautier}, J. Differ. Equations 245, No. 12, 3545--3569 (2008; Zbl 1171.34034) Full Text: DOI
Merkurjev, Alexander Unramified elements in cycle modules. (English) Zbl 1155.14017 J. Lond. Math. Soc., II. Ser. 78, No. 1, 51-64 (2008). Reviewer: Jyh-Haur Teh (Taiwan) MSC: 14F43 14C25 14E05 PDF BibTeX XML Cite \textit{A. Merkurjev}, J. Lond. Math. Soc., II. Ser. 78, No. 1, 51--64 (2008; Zbl 1155.14017) Full Text: DOI
Totaro, Burt Birational geometry of quadrics in characteristic 2. (English) Zbl 1144.11031 J. Algebr. Geom. 17, No. 3, 577-597 (2008). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 14C15 14C25 14E05 PDF BibTeX XML Cite \textit{B. Totaro}, J. Algebr. Geom. 17, No. 3, 577--597 (2008; Zbl 1144.11031) Full Text: DOI arXiv
Totaro, Burt Euler and algebraic geometry. (English) Zbl 1133.14007 Bull. Am. Math. Soc., New Ser. 44, No. 4, 541-559 (2007). Reviewer: Vladimir P. Kostov (Nice) MSC: 14C30 14D05 14E05 PDF BibTeX XML Cite \textit{B. Totaro}, Bull. Am. Math. Soc., New Ser. 44, No. 4, 541--559 (2007; Zbl 1133.14007) Full Text: DOI
Kahn, Bruno Quadratic forms and algebraic cycles (after Rost, Voevodsky, Vishik, Karpenko, …). (Formes quadratiques et cycles algébriques [d’après Rost, Voevodsky, Vishik, Karpenko, …].) (French) Zbl 1120.11018 Bourbaki seminar. Volume 2004/2005. Exposes 938–951. Paris: Société Mathématique de France (ISBN 978-2-85629-224-2/pbk). Astérisque 307, 113-163, Exp. No. 941 (2006). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 14C15 14C25 14E05 19E15 55S99 PDF BibTeX XML Cite \textit{B. Kahn}, Astérisque 307, 113--163, Exp. No. 941 (2006; Zbl 1120.11018)
Huybrechts, D. Fourier-Mukai transforms in algebraic geometry. (English) Zbl 1095.14002 Oxford Mathematical Monographs. Oxford Science Publications. Oxford: Clarendon Press (ISBN 0-19-929686-3/hbk). viii, 307 p. (2006). Reviewer: Marcello Bernardara (Nice) MSC: 14-02 14D20 14F05 18E30 PDF BibTeX XML Cite \textit{D. Huybrechts}, Fourier-Mukai transforms in algebraic geometry. Oxford: Clarendon Press (2006; Zbl 1095.14002)
Dryło, Robert Non-uniruledness and the cancellation problem. (English) Zbl 1090.14019 Ann. Pol. Math. 87, 93-98 (2005). Reviewer: Edoardo Ballico (Povo) MSC: 14R10 14E05 14M99 PDF BibTeX XML Cite \textit{R. Dryło}, Ann. Pol. Math. 87, 93--98 (2005; Zbl 1090.14019) Full Text: DOI
Mehta, Mridul Birational equivalence of Higgs moduli. (English) Zbl 1094.14007 Int. J. Math. 16, No. 4, 365-386 (2005). Reviewer: Steven B. Bradlow (Urbana) MSC: 14D20 14H60 PDF BibTeX XML Cite \textit{M. Mehta}, Int. J. Math. 16, No. 4, 365--386 (2005; Zbl 1094.14007) Full Text: DOI
Tamás, Csilla On the classification of crepant analytically extremal contractions of smooth three-folds. (English) Zbl 1074.14012 Compos. Math. 140, No. 6, 1561-1578 (2004). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 14E05 14J30 14E30 PDF BibTeX XML Cite \textit{C. Tamás}, Compos. Math. 140, No. 6, 1561--1578 (2004; Zbl 1074.14012) Full Text: DOI
Borovoi, Mikhail; Kunyavskii, Boris; Gille, Philippe Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields. (English) Zbl 1057.11023 J. Algebra 276, No. 1, 292-339 (2004). Reviewer: G. K. Sankaran (Bath) MSC: 11E72 14L40 20G25 20G30 PDF BibTeX XML Cite \textit{M. Borovoi} et al., J. Algebra 276, No. 1, 292--339 (2004; Zbl 1057.11023) Full Text: DOI
Karpenko, Nikita A. Izhboldin’s results on stably birational equivalence of quadrics. (English) Zbl 1045.11024 Tignol, Jean-Pierre (ed.), Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Berlin: Springer (ISBN 3-540-20728-7/pbk). Lect. Notes Math. 1835, 151-183 (2004). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 14C15 PDF BibTeX XML Cite \textit{N. A. Karpenko}, Lect. Notes Math. 1835, 151--183 (2004; Zbl 1045.11024)
Izhboldin, Oleg T. Some new results concerning isotropy of low-dimensional forms. List of examples and results (without proofs). (English) Zbl 1045.11023 Tignol, Jean-Pierre (ed.), Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Berlin: Springer (ISBN 3-540-20728-7/pbk). Lect. Notes Math. 1835, 143-150 (2004). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 PDF BibTeX XML Cite \textit{O. T. Izhboldin}, Lect. Notes Math. 1835, 143--150 (2004; Zbl 1045.11023)
Karpenko, Nikita A. Motives and Chow groups of quadrics with application to the \(u\)-invariant (after Oleg Izhboldin). (English) Zbl 1185.11026 Tignol, Jean-Pierre (ed.), Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Berlin: Springer (ISBN 3-540-20728-7/pbk). Lect. Notes Math. 1835, 103-129 (2004). Reviewer: Detlev Hoffmann (Nottingham) (MR 2066516) MSC: 11E04 11E81 12G05 14C15 14C25 19E15 PDF BibTeX XML Cite \textit{N. A. Karpenko}, Lect. Notes Math. 1835, 103--129 (2004; Zbl 1185.11026)
Vishik, Alexander Motives of quadrics with applications to the theory of quadratic forms. (English) Zbl 1047.11033 Tignol, Jean-Pierre (ed.), Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Berlin: Springer (ISBN 3-540-20728-7/pbk). Lect. Notes Math. 1835, 25-101 (2004). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 14C15 14F42 19E15 PDF BibTeX XML Cite \textit{A. Vishik}, Lect. Notes Math. 1835, 25--101 (2004; Zbl 1047.11033)
Kahn, Bruno; Laghribi, Ahmed A second descent problem for quadratic forms. (English) Zbl 1108.11033 \(K\)-Theory 29, No. 4, 253-284 (2003). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 12G05 14F42 PDF BibTeX XML Cite \textit{B. Kahn} and \textit{A. Laghribi}, \(K\)-Theory 29, No. 4, 253--284 (2003; Zbl 1108.11033) Full Text: DOI
Wang, Chin-Lung Cohomology theory in birational geometry. (English) Zbl 1052.14016 J. Differ. Geom. 60, No. 2, 345-354 (2002). Reviewer: Vladimir L. Popov (Moskva) MSC: 14C30 14E05 PDF BibTeX XML Cite \textit{C.-L. Wang}, J. Differ. Geom. 60, No. 2, 345--354 (2002; Zbl 1052.14016) Full Text: DOI
Poonen, Bjorn The Grothendieck ring of varieties is not a domain. (English) Zbl 1054.14505 Math. Res. Lett. 9, No. 4, 493-497 (2002). MSC: 14C35 14A10 14G35 PDF BibTeX XML Cite \textit{B. Poonen}, Math. Res. Lett. 9, No. 4, 493--497 (2002; Zbl 1054.14505) Full Text: DOI arXiv
Coffman, Adam CR singular immersions of complex projective spaces. (English) Zbl 1029.32020 Beitr. Algebra Geom. 43, No. 2, 451-477 (2002). Reviewer: Xianghong Gong (Madison) MSC: 32V40 14P05 14E05 32Q40 15A22 32S20 PDF BibTeX XML Cite \textit{A. Coffman}, Beitr. Algebra Geom. 43, No. 2, 451--477 (2002; Zbl 1029.32020) Full Text: EMIS EuDML
Abramovich, Dan; Karu, Kalle; Matsuki, Kenji; Wlodarczyk, Jaroslaw Torification and factorization of birational maps. (English) Zbl 1032.14003 J. Am. Math. Soc. 15, No. 3, 531-572 (2002). Reviewer: Klaus Altmann (Berlin) MSC: 14E05 14M25 14E15 PDF BibTeX XML Cite \textit{D. Abramovich} et al., J. Am. Math. Soc. 15, No. 3, 531--572 (2002; Zbl 1032.14003) Full Text: DOI arXiv
Voskresenskiĭ, V. E. Birational geometry and arithmetic of linear algebraic groups. IV. (English) Zbl 1034.14006 Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol. 1999, No. 2(12), 5-47 (1999). Reviewer: Lucian Bădescu (Genova) MSC: 14E05 14L35 14M17 14M20 20G05 20G15 PDF BibTeX XML Cite \textit{V. E. Voskresenskiĭ}, Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol. 1999, No. 2(12), 5--47 (1999; Zbl 1034.14006)
Chernousov, V.; Merkurjev, A. \(R\)-equivalence and special unitary groups. (English) Zbl 0947.14023 J. Algebra 209, No. 1, 175-198 (1998). Reviewer: St.Helmke (Kyoto) MSC: 14L30 14M20 20G15 PDF BibTeX XML Cite \textit{V. Chernousov} and \textit{A. Merkurjev}, J. Algebra 209, No. 1, 175--198 (1998; Zbl 0947.14023) Full Text: DOI
Tang, Lizhong A Gröbner basis criterion for birational equivalence of affine varieties. (English) Zbl 0927.14007 J. Pure Appl. Algebra 123, No. 1-3, 275-283 (1998). MSC: 14E05 13P10 14Q99 PDF BibTeX XML Cite \textit{L. Tang}, J. Pure Appl. Algebra 123, No. 1--3, 275--283 (1998; Zbl 0927.14007) Full Text: DOI
Nekrashevich, V. V. On equivalence of nets in hyperbolic spaces. (English) Zbl 0930.51015 Dopov. Akad. Nauk Ukr. 1997, No. 11, 18-21 (1997). Reviewer: Yu.V.Bodnarchuk (Kyïv) MSC: 51M10 52A55 PDF BibTeX XML Cite \textit{V. V. Nekrashevich}, Dopov. Akad. Nauk Ukr. 1997, No. 11, 18--21 (1997; Zbl 0930.51015)
Malyuta, Yu. M. Birational equivalence of Calabi-Yau manifolds. (Russian) Zbl 0934.14027 Dopov. Akad. Nauk Ukr. 1997, No. 11, 16-18 (1997). Reviewer: Yu.V.Bodnarchuk (Kyïv) MSC: 14J32 14E05 14H52 PDF BibTeX XML Cite \textit{Yu. M. Malyuta}, Dopov. Akad. Nauk Ukr. 1997, No. 11, 16--18 (1997; Zbl 0934.14027)
Tsai, I-Hsun Dominant morphisms on surfaces of general type modulo biholomorphic equivalence. (English) Zbl 0916.14004 Int. Math. Res. Not. 1997, No. 3, 101-111 (1997). Reviewer: Sandor J.Kovacs (MR 99f:14017) MSC: 14E05 14J29 PDF BibTeX XML Cite \textit{I-H. Tsai}, Int. Math. Res. Not. 1997, No. 3, 101--111 (1997; Zbl 0916.14004) Full Text: DOI
Schoen, Chad Varieties dominated by product varieties. (English) Zbl 0907.14002 Int. J. Math. 7, No. 4, 541-571 (1996). MSC: 14E05 14J99 PDF BibTeX XML Cite \textit{C. Schoen}, Int. J. Math. 7, No. 4, 541--571 (1996; Zbl 0907.14002) Full Text: DOI
Merkur’ev, A. S. A norm principle for algebraic groups. (English. Russian original) Zbl 0859.20039 St. Petersbg. Math. J. 7, No. 2, 243-264 (1996); translation from Algebra Anal. 7, No. 2, 77-105 (1995). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 20G15 PDF BibTeX XML Cite \textit{A. S. Merkur'ev}, St. Petersbg. Math. J. 7, No. 2, 77--105 (1995; Zbl 0859.20039); translation from Algebra Anal. 7, No. 2, 77--105 (1995)
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp Nonisomorphic algebraic models of a smooth manifold with group action. (English) Zbl 0835.14022 Proc. Am. Math. Soc. 123, No. 1, 55-61 (1995). Reviewer: E.I.Shustin (Tel Aviv) MSC: 14P05 14L30 14E05 PDF BibTeX XML Cite \textit{K. H. Dovermann} et al., Proc. Am. Math. Soc. 123, No. 1, 55--61 (1995; Zbl 0835.14022) Full Text: DOI
Alzati, A.; Bertolini, M. A finiteness theorem for morphisms from smooth varieties of general type. (English) Zbl 0861.14009 Manara, Carlo Felice (ed.) et al., Papers in honor of Giovanni Melzi. Milano: Univ. Cattolica del Sacro Cuore. Sci. Mat. 11, 27-34 (1994). MSC: 14E05 14C20 14J29 PDF BibTeX XML Cite \textit{A. Alzati} and \textit{M. Bertolini}, in: Scritti in onore di Giovanni Melzi. Milano: Univ. Cattolica del Sacro Cuore. 27--34 (1994; Zbl 0861.14009)
Shafarevich, Igor R. Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. (English) Zbl 0797.14001 Berlin: Springer-Verlag. xviii, 303 p. (1994). Reviewer: W.Kleinert (Berlin) MSC: 14Axx 14-02 14B05 14Hxx 14-01 14C17 PDF BibTeX XML Cite \textit{I. R. Shafarevich}, Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Berlin: Springer-Verlag (1994; Zbl 0797.14001)
Grassi, Antonella On minimal models of elliptic threefolds. (English) Zbl 0719.14006 Math. Ann. 290, No. 2, 287-301 (1991). Reviewer: A.Grassi MSC: 14E30 14J30 14E05 14F45 PDF BibTeX XML Cite \textit{A. Grassi}, Math. Ann. 290, No. 2, 287--301 (1991; Zbl 0719.14006) Full Text: DOI EuDML
Bochnak, J.; Kucharz, W. Nonisomorphic algebraic models of a smooth manifold. (English) Zbl 0714.14012 Math. Ann. 290, No. 1, 1-2 (1991). Reviewer: J.Bochnak MSC: 14E05 57R50 PDF BibTeX XML Cite \textit{J. Bochnak} and \textit{W. Kucharz}, Math. Ann. 290, No. 1, 1--2 (1991; Zbl 0714.14012) Full Text: DOI EuDML
Ballico, E. On a birational classification of bundles and reflexive sheaves on surfaces. (English) Zbl 0773.14022 Rend. Semin. Mat. Univ. Padova 86, 29-36 (1991). Reviewer: T.Fujita (Tokyo) MSC: 14J60 14E05 14F05 PDF BibTeX XML Cite \textit{E. Ballico}, Rend. Semin. Mat. Univ. Padova 86, 29--36 (1991; Zbl 0773.14022) Full Text: Numdam EuDML
Conti, Pasqualina; Traverso, Carlo Computing the conductor of an integral extension. (English) Zbl 0755.13012 Discrete Appl. Math. 33, No. 1-3, 61-72 (1991). MSC: 13P99 13B02 13B22 PDF BibTeX XML Cite \textit{P. Conti} and \textit{C. Traverso}, Discrete Appl. Math. 33, No. 1--3, 61--72 (1991; Zbl 0755.13012) Full Text: DOI
Coray, D. F.; Tsfasman, M. A. Arithmetic on singular del Pezzo surfaces. (English) Zbl 0653.14018 Proc. Lond. Math. Soc., III. Ser. 57, No. 1, 25-87 (1988). Reviewer: W.McCallum MSC: 14J25 14M20 14J17 14G25 14C05 PDF BibTeX XML Cite \textit{D. F. Coray} and \textit{M. A. Tsfasman}, Proc. Lond. Math. Soc. (3) 57, No. 1, 25--87 (1988; Zbl 0653.14018) Full Text: DOI
Reid, Miles Undergraduate algebraic geometry. (English) Zbl 0701.14001 London Mathematical Society Student Texts, 12. Cambridge (UK) etc.: Cambridge University Press. viii, 129 p. £20.00/hbk; $ 34.50/hbk; £7.50/pbk; $ 12.95/pbk (1988). Reviewer: H.G.Zimmer MSC: 14-01 14-02 14Hxx 14A10 14B05 14Jxx PDF BibTeX XML Cite \textit{M. Reid}, Undergraduate algebraic geometry. Cambridge (UK) etc.: Cambridge University Press (1988; Zbl 0701.14001)
Shafarevich, I. R. Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. (Osnovy algebraicheskoj geometrii. Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve.) (Russian) Zbl 1082.14500 Moskva: Nauka (ISBN 5-02-14412-6/Vol.1; 5-02-013729-4). 352 p. (1988). MSC: 14Axx 14-02 14B05 14Hxx 14-01 14C17 PDF BibTeX XML Cite \textit{I. R. Shafarevich}, Osnovy algebraicheskoj geometrii. Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve (Russian). 2nd ed., rev. and compl. Moskva: Nauka (1988; Zbl 1082.14500)
Ciliberto, Ciro On a property of Castelnuovo varieties. (English) Zbl 0657.14022 Trans. Am. Math. Soc. 303, 201-210 (1987). Reviewer: W.Kleinert MSC: 14J40 14E05 14J10 PDF BibTeX XML Cite \textit{C. Ciliberto}, Trans. Am. Math. Soc. 303, 201--210 (1987; Zbl 0657.14022) Full Text: DOI
Mori, Shigefumi Classification of higher-dimensional varieties. (English) Zbl 0656.14022 Algebraic geometry, Proc. Summer Res. Inst., Brunswick/Maine 1985, part 1, Proc. Symp. Pure Math. 46, 269-331 (1987). Reviewer: M.Beltrametti MSC: 14J10 14J40 14E05 14J30 PDF BibTeX XML
Ran, Ziv On a theorem of Martens. (English) Zbl 0632.14027 Rend. Semin. Mat., Torino 44, 287-291 (1986). Reviewer: H.H.Martens MSC: 14H40 14E05 30F10 14H15 PDF BibTeX XML Cite \textit{Z. Ran}, Rend. Semin. Mat., Torino 44, 287--291 (1986; Zbl 0632.14027)
Maruyama, Masaki On a generalization of elementary transformations of algebraic vector bundles. (English) Zbl 0622.14010 Algebraic varieties of small dimension, Proc. Int. Conf., Turin/Italy 1985, Rend. Semin. Mat., Torino, Fasc. Spec., 1-13 (1986). Reviewer: M.Stoia MSC: 14E05 14F05 PDF BibTeX XML
Schülting, Heinz-Werner Algebraische und topologische reelle Zykeln unter birationalen Transformationen. (Algebraic and topological real cycles under birational transformations.). (German) Zbl 0585.14018 Math. Ann. 272, 441-448 (1985). Reviewer: R.Robson MSC: 14Pxx 55N35 14F45 14E05 PDF BibTeX XML Cite \textit{H.-W. Schülting}, Math. Ann. 272, 441--448 (1985; Zbl 0585.14018) Full Text: DOI EuDML
Yoshihara, Hisao On open algebraic surfaces \({\mathbb{P}}^ 2-C\). (English) Zbl 0523.14013 Math. Ann. 268, 43-57 (1984). MSC: 14E07 14H45 14J25 PDF BibTeX XML Cite \textit{H. Yoshihara}, Math. Ann. 268, 43--57 (1984; Zbl 0523.14013) Full Text: DOI EuDML
Iitaka, Shigeru Birational geometry and logarithmic forms. (English) Zbl 0514.14006 Recent progress of algebraic geometry in Japan, North-Holland Math. Stud. 73, 1-27 (1983). MSC: 14E05 14J10 PDF BibTeX XML
Maehara, Kazuhisa A finiteness property of varieties of general type. (English) Zbl 0438.14011 Math. Ann. 262, 101-123 (1983). MSC: 14E05 14C15 14C20 14E30 14J10 PDF BibTeX XML Cite \textit{K. Maehara}, Math. Ann. 262, 101--123 (1983; Zbl 0438.14011) Full Text: DOI EuDML
Ciliberto, Ciro Canonical surfaces with pg=pa=5 and \(K^ 2=\)10. (English) Zbl 0497.14015 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 9, 287-336 (1982). MSC: 14J10 14J25 14D22 14D20 14M12 PDF BibTeX XML Cite \textit{C. Ciliberto}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 9, 287--336 (1982; Zbl 0497.14015) Full Text: Numdam EuDML
Chistov, A. L. Birational equivalence of tori with a cyclic splitting field. (English) Zbl 0462.14005 J. Sov. Math. 17, 1819-1823 (1981). MSC: 14E05 14J25 14G99 14J10 PDF BibTeX XML Cite \textit{A. L. Chistov}, J. Sov. Math. 17, 1819--1823 (1981; Zbl 0462.14005) Full Text: DOI
Colliot-Thélène, Jean-Louis Formes quadratiques multiplicatives et variétés algébriques: Deux complements. (French) Zbl 0455.14002 Bull. Soc. Math. Fr. 108, 213-227 (1980). MSC: 14C25 11E12 11E04 14Pxx 14E05 14C15 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène}, Bull. Soc. Math. Fr. 108, 213--227 (1980; Zbl 0455.14002) Full Text: DOI Numdam EuDML
Martin-Deschamps, Mireille; Lewin-Menegaux, Renee Surfaces de type général dominees par une variété fixe. (French) Zbl 0453.14014 C. R. Acad. Sci., Paris, Sér. A 291, 587-590 (1980). MSC: 14J10 14E05 14B12 14B25 14J25 14C22 14C30 PDF BibTeX XML Cite \textit{M. Martin-Deschamps} and \textit{R. Lewin-Menegaux}, C. R. Acad. Sci., Paris, Sér. A 291, 587--590 (1980; Zbl 0453.14014)
Iitaka, Shigeru On logarithmic K3 surfaces. (English) Zbl 0454.14016 Osaka J. Math. 16, 675-705 (1979). MSC: 14J10 14J25 14E05 PDF BibTeX XML Cite \textit{S. Iitaka}, Osaka J. Math. 16, 675--705 (1979; Zbl 0454.14016)
Segal, Graeme The topology of spaces of rational functions. (English) Zbl 0427.55006 Acta Math. 143, 39-72 (1979). MSC: 55P35 55P10 58D15 30F99 14E05 PDF BibTeX XML Cite \textit{G. Segal}, Acta Math. 143, 39--72 (1979; Zbl 0427.55006) Full Text: DOI
Martin-Deschamps, Mireille; Lewin-Menegaux, Renee Surface de type général dominees par une variété fixe. (French) Zbl 0419.14006 C. R. Acad. Sci., Paris, Sér. A 288, 765-767 (1979). MSC: 14E05 14C15 14J25 32J15 PDF BibTeX XML Cite \textit{M. Martin-Deschamps} and \textit{R. Lewin-Menegaux}, C. R. Acad. Sci., Paris, Sér. A 288, 765--767 (1979; Zbl 0419.14006)
Servedio, Frank Canonical reducible cubic forms in \(n\;(\geq 3)\) variables and their infinite orthogonal groups. (English) Zbl 0417.14026 J. Pure Appl. Algebra 15, 283-291 (1979). MSC: 14J30 14E05 11E04 20G15 PDF BibTeX XML Cite \textit{F. Servedio}, J. Pure Appl. Algebra 15, 283--291 (1979; Zbl 0417.14026) Full Text: DOI
Chistov, A. L. On the number of generators of a semigroup of classes of algebraic tori relative to stable equivalence. (English. Russian original) Zbl 0433.20005 Sov. Math., Dokl. 19, 1267-1270 (1978); translation from Dokl. Akad. Nauk SSSR 242, 1027-1030 (1978). MSC: 20C10 20C05 20G05 20G15 PDF BibTeX XML Cite \textit{A. L. Chistov}, Sov. Math., Dokl. 19, 1267--1270 (1978; Zbl 0433.20005); translation from Dokl. Akad. Nauk SSSR 242, 1027--1030 (1978)
Voskresenskij, V. E. Algebraic tori. (Algebraicheskie tory). (Russian) Zbl 0499.14013 Moskva: Izdatel’stvo ”Nauka”. 223 p. R. 0.70 (1977). MSC: 14L15 14J25 14J10 14-02 14M20 14G05 14E05 PDF BibTeX XML
Andreotti, Aldo On a theorem of Torelli. (English) Zbl 0084.17304 Am. J. Math. 80, 801-828 (1958). Reviewer: J. Guérindon MSC: 14-XX PDF BibTeX XML Cite \textit{A. Andreotti}, Am. J. Math. 80, 801--828 (1958; Zbl 0084.17304) Full Text: DOI
Chow, Wei-Liang; Lang, Serge On the birational equivalence of curves under specialization. (English) Zbl 0079.06103 Am. J. Math. 79, 649-652 (1957). Reviewer: W. Gröbner MSC: 14H20 PDF BibTeX XML Cite \textit{W.-L. Chow} and \textit{S. Lang}, Am. J. Math. 79, 649--652 (1957; Zbl 0079.06103) Full Text: DOI
Brill, Alexander On singularities of plane algebraic curves and a new species of curves. (Ueber Singularitäten ebener algebraischer Curven und eine neue Curvenspecies.) (German) JFM 12.0539.02 Clebsch Ann. XVI, 348-408 (1880). Reviewer: Voss, Prof. (Dresden) MSC: 14H50 14E05 PDF BibTeX XML Cite \textit{A. Brill}, Math. Ann. 16, 348--408 (1880; JFM 12.0539.02) Full Text: DOI Link EuDML