# zbMATH — the first resource for mathematics

## Alexeev, Valery A.

Compute Distance To:
 Author ID: alexeev.valery-a Published as: Alexeev, Valery; Alexeev, V. A.; Alexeev, V.; Alexeev, Valery A. External Links: MGP · Wikidata
 Documents Indexed: 47 Publications since 1991, including 4 Books
all top 5

#### Co-Authors

 15 single-authored 6 Brion, Michel 3 Izadi, Elham 3 Liu, Wenfei 2 Gibney, Angela 2 Hacon, Christopher Derek 2 Pardini, Rita 2 Swinarski, David 1 Arap, Maxim 1 Bates, J. R. 1 Beauville, Arnaud 1 Birkenhake, Christina 1 Borisov, Alexander 1 Brunyate, Adrian 1 Clemens, C. Herbert 1 Donagi, Ron Y. 1 Farkas, Gavril 1 Guy, G. Michael 1 Hu, Xiaoyan 1 Huckaba, Lauren 1 Hulek, Klaus 1 Katzarkov, Ludmil 1 Kawamata, Yujiro 1 Knutson, Allen 1 Kollár, János 1 Lindberg, Karen B. 1 Livingston, Ryan 1 Looijenga, Eduard J. N. 1 McFaddin, Patrick K. 1 Mori, Shigefumi 1 Musgrave, Stacy Marie 1 Nakamura, Iku 1 Nikulin, Vyacheslav Valentinovich 1 Orlov, Dmitri O. 1 Ortega, Angela 1 Shin, Jaeho 1 Tenini, Joseph 1 Ulrich, Catherine
all top 5

#### Serials

 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of Algebraic Geometry 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Contemporary Mathematics 1 Advances in Mathematics 1 Journal of Algebra 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 IMRP. International Mathematics Research Papers 1 Pure and Applied Mathematics Quarterly 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 MSJ Memoirs 1 Algebraic Geometry 1 European Journal of Mathematics 1 Advanced Courses in Mathematics – CRM Barcelona
all top 5

#### Fields

 44 Algebraic geometry (14-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 520 times in 407 Documents Cited by Year
Boundedness and $$K^ 2$$ for log surfaces. Zbl 0838.14028
Alexeev, Valery
1994
Complete moduli in the presence of semiabelian group action. Zbl 1052.14017
Alexeev, Valery
2002
Compactified Jacobians and Torelli map. Zbl 1079.14019
Alexeev, Valery
2004
Toric degenerations of spherical varieties. Zbl 1078.14075
Alexeev, Valery; Brion, Michel
2004
Del Pezzo and $$K3$$ surfaces. Zbl 1097.14001
Alexeev, Valery; Nikulin, Viacheslav V.
2006
Moduli of affine schemes with reductive group action. Zbl 1081.14005
Alexeev, Valery; Brion, Michel
2005
Stable reductive varieties. I: Affine varieties. Zbl 1068.14003
Alexeev, Valery; Brion, Michel
2004
Moduli spaces $$M_{g,n}(W)$$ for surfaces. Zbl 0896.14014
Alexeev, Valery
1996
Two two-dimensional terminations. Zbl 0791.14006
Alexeev, Valery
1993
Derived categories of Burniat surfaces and exceptional collections. Zbl 1282.14030
Alexeev, Valery; Orlov, Dmitri
2013
Stable reductive varieties. II: Projective case. Zbl 1080.14017
Alexeev, Valery; Brion, Michel
2004
General elephants of $${\mathbb{Q}}$$-Fano 3-folds. Zbl 0813.14028
Alexeev, Valery
1994
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
2003
Higher-level $$\mathfrak{sl}_2$$ conformal blocks divisors on $$\overline{M}_{0,n}$$. Zbl 1285.14012
Alexeev, Valery; Gibney, Angela; Swinarski, David
2014
On Mumford’s construction of degenerating abelian varieties. Zbl 0989.14003
Alexeev, Valery; Nakamura, Iku
1999
Termination of (many) 4-dimensional log flips. Zbl 1118.14017
Alexeev, Valery; Hacon, Christopher; Kawamata, Yujiro
2007
Higher-dimensional analogues of stable curves. Zbl 1102.14023
Alexeev, Valery
2006
Moduli of weighted stable maps and their gravitational descendants. Zbl 1166.14034
Alexeev, Valery; Guy, G. Michael
2008
Degenerations of Prym varieties. Zbl 1008.14004
Alexeev, V.; Birkenhake, Ch.; Hulek, K.
2002
On $$k$$-stability of reductive varieties. Zbl 1122.32016
Alexeev, V.; Katzarkov, L.
2005
Nef divisors on $$\bar{M}_{0,n}$$ from GIT. Zbl 1317.14103
Alexeev, Valery; Swinarski, David
2012
Classification of log canonical surface singularities: Arithmetical proof. Zbl 0801.14010
Alexeev, Valery
1992
Non-normal abelian covers. Zbl 1263.14016
Alexeev, Valery; Pardini, Rita
2012
Limits of stable pairs. Zbl 1158.14020
Alexeev, Valery
2008
Extending the Torelli map to toroidal compactifications of Siegel space. Zbl 1242.14042
2012
Complete moduli spaces of branchvarieties. Zbl 1191.14001
Alexeev, Valery; Knutson, Allen
2010
Non-rational centers of log canonical singularities. Zbl 1275.14004
Alexeev, Valery; Hacon, Christopher D.
2012
Theorems about good divisors on log Fano varieties (case of index $$r > n- 2$$). Zbl 0767.14017
Alexeev, V. A.
1991
Boundedness of spherical Fano varieties. Zbl 1087.14028
Alexeev, Valery A.; Brion, Michel
2004
Moduli of weighted hyperplane arrangements. Edited by Gilberto Bini, Martí Lahoz, Emanuele Macrì and Paolo Stellari. Zbl 1334.14001
Alexeev, Valery
2015
Stable spherical varieties and their moduli. Zbl 1115.14041
Alexeev, Valery; Brion, Michel
2006
Ample Weil divisors on K3 surfaces with Du Val singularities. Zbl 0766.14030
Alexeev, Valery
1991
On the existence of ramified Abelian covers. Zbl 1327.14074
Alexeev, V.; Pardini, R.
2013
On the log discrepancies in toric Mori contractions. Zbl 1305.14006
Alexeev, Valery; Borisov, Alexander
2014
Divisors on Burniat surfaces. Zbl 1369.14050
Alexeev, Valery
2016
On accumulation points of volumes of log surfaces. Zbl 1423.14234
Alexeev, V. A.; Liu, Wenfei
2019
Extended Torelli map to the Igusa blowup in genus 6, 7, and 8. Zbl 1246.14037
Alexeev, Valery; Livingston, Ryan; Tenini, Joseph; Arap, Maxim; Hu, Xiaoyan; Huckaba, Lauren; McFaddin, Patrick; Musgrave, Stacy; Shin, Jaeho; Ulrich, Catherine
2012
Open surfaces of small volume. Zbl 1427.14078
Alexeev, Valery; Liu, Wenfei
2019
On accumulation points of volumes of log surfaces. Zbl 1423.14234
Alexeev, V. A.; Liu, Wenfei
2019
Open surfaces of small volume. Zbl 1427.14078
Alexeev, Valery; Liu, Wenfei
2019
Divisors on Burniat surfaces. Zbl 1369.14050
Alexeev, Valery
2016
Moduli of weighted hyperplane arrangements. Edited by Gilberto Bini, Martí Lahoz, Emanuele Macrì and Paolo Stellari. Zbl 1334.14001
Alexeev, Valery
2015
Higher-level $$\mathfrak{sl}_2$$ conformal blocks divisors on $$\overline{M}_{0,n}$$. Zbl 1285.14012
Alexeev, Valery; Gibney, Angela; Swinarski, David
2014
On the log discrepancies in toric Mori contractions. Zbl 1305.14006
Alexeev, Valery; Borisov, Alexander
2014
Derived categories of Burniat surfaces and exceptional collections. Zbl 1282.14030
Alexeev, Valery; Orlov, Dmitri
2013
On the existence of ramified Abelian covers. Zbl 1327.14074
Alexeev, V.; Pardini, R.
2013
Nef divisors on $$\bar{M}_{0,n}$$ from GIT. Zbl 1317.14103
Alexeev, Valery; Swinarski, David
2012
Non-normal abelian covers. Zbl 1263.14016
Alexeev, Valery; Pardini, Rita
2012
Extending the Torelli map to toroidal compactifications of Siegel space. Zbl 1242.14042
2012
Non-rational centers of log canonical singularities. Zbl 1275.14004
Alexeev, Valery; Hacon, Christopher D.
2012
Extended Torelli map to the Igusa blowup in genus 6, 7, and 8. Zbl 1246.14037
Alexeev, Valery; Livingston, Ryan; Tenini, Joseph; Arap, Maxim; Hu, Xiaoyan; Huckaba, Lauren; McFaddin, Patrick; Musgrave, Stacy; Shin, Jaeho; Ulrich, Catherine
2012
Complete moduli spaces of branchvarieties. Zbl 1191.14001
Alexeev, Valery; Knutson, Allen
2010
Moduli of weighted stable maps and their gravitational descendants. Zbl 1166.14034
Alexeev, Valery; Guy, G. Michael
2008
Limits of stable pairs. Zbl 1158.14020
Alexeev, Valery
2008
Termination of (many) 4-dimensional log flips. Zbl 1118.14017
Alexeev, Valery; Hacon, Christopher; Kawamata, Yujiro
2007
Del Pezzo and $$K3$$ surfaces. Zbl 1097.14001
Alexeev, Valery; Nikulin, Viacheslav V.
2006
Higher-dimensional analogues of stable curves. Zbl 1102.14023
Alexeev, Valery
2006
Stable spherical varieties and their moduli. Zbl 1115.14041
Alexeev, Valery; Brion, Michel
2006
Moduli of affine schemes with reductive group action. Zbl 1081.14005
Alexeev, Valery; Brion, Michel
2005
On $$k$$-stability of reductive varieties. Zbl 1122.32016
Alexeev, V.; Katzarkov, L.
2005
Compactified Jacobians and Torelli map. Zbl 1079.14019
Alexeev, Valery
2004
Toric degenerations of spherical varieties. Zbl 1078.14075
Alexeev, Valery; Brion, Michel
2004
Stable reductive varieties. I: Affine varieties. Zbl 1068.14003
Alexeev, Valery; Brion, Michel
2004
Stable reductive varieties. II: Projective case. Zbl 1080.14017
Alexeev, Valery; Brion, Michel
2004
Boundedness of spherical Fano varieties. Zbl 1087.14028
Alexeev, Valery A.; Brion, Michel
2004
Bounding singular surfaces of general type. Zbl 1103.14021
Alexeev, Valery; Mori, Shigefumi
2003
Complete moduli in the presence of semiabelian group action. Zbl 1052.14017
Alexeev, Valery
2002
Degenerations of Prym varieties. Zbl 1008.14004
Alexeev, V.; Birkenhake, Ch.; Hulek, K.
2002
On Mumford’s construction of degenerating abelian varieties. Zbl 0989.14003
Alexeev, Valery; Nakamura, Iku
1999
Moduli spaces $$M_{g,n}(W)$$ for surfaces. Zbl 0896.14014
Alexeev, Valery
1996
Boundedness and $$K^ 2$$ for log surfaces. Zbl 0838.14028
Alexeev, Valery
1994
General elephants of $${\mathbb{Q}}$$-Fano 3-folds. Zbl 0813.14028
Alexeev, Valery
1994
Two two-dimensional terminations. Zbl 0791.14006
Alexeev, Valery
1993
Classification of log canonical surface singularities: Arithmetical proof. Zbl 0801.14010
Alexeev, Valery
1992
Theorems about good divisors on log Fano varieties (case of index $$r > n- 2$$). Zbl 0767.14017
Alexeev, V. A.
1991
Ample Weil divisors on K3 surfaces with Du Val singularities. Zbl 0766.14030
Alexeev, Valery
1991
all top 5

#### Cited by 391 Authors

 16 Alexeev, Valery A. 10 Prokhorov, Yuriĭ Gennad’evich 10 Xu, Chenyang 9 Viviani, Filippo 8 Birkar, Caucher 8 Caporaso, Lucia 7 Brion, Michel 7 Hacon, Christopher Derek 7 Kaveh, Kiumars 7 Kollár, János 7 Melo, Margarida 7 Moon, Han-Bom 6 Hacking, Paul 6 Liu, Wenfei 6 Rollenske, Sönke 5 Fourier, Ghislain 5 Grushevsky, Samuel 5 Lee, Kyoung-Seog 5 Manon, Christopher 5 Pardini, Rita 5 Shokurov, Vyacheslav Vladimirovich 5 Terpereau, Ronan 4 Bravi, Paolo 4 Cascini, Paolo 4 Cupit-Foutou, Stéphanie 4 Di Cerbo, Gabriele 4 Gagliardi, Giuliano 4 Giansiracusa, Noah 4 Gibney, Angela 4 Gross, Mark 4 Han, Jingjun 4 Hassett, Brendan 4 Hulek, Klaus 4 Kass, Jesse Leo 4 Katzarkov, Ludmil 4 Keel, Sean 4 Kim, Sangjib 4 Lee, Yongnam 4 McKernan, James 4 Patakfalvi, Zsolt 4 Pezzini, Guido 4 Sarti, Alessandra 4 Van Steirteghem, Bart 4 Zhang, De-Qi 3 Artebani, Michela 3 Ascher, Kenneth 3 Bejleri, Dori 3 Cheltsov, Ivan Anatol’evich 3 Fang, Xin 3 Feigin, Evgeny 3 Franciosi, Marco 3 Gallardo, Patricio 3 Hall, Jack 3 Jansou, Sébastien 3 Jiang, Chen 3 Kojima, Hideo 3 Lehmann, Brian 3 Littelmann, Peter 3 Ma, Shouhei 3 Ross, Julius 3 Rydh, David 3 Schaffler, Luca 3 Sosna, Pawel 3 Svaldi, Roberto 3 Swinarski, David 3 Taki, Shingo 3 Tevelev, Jenia 3 Trepalin, Andrey S. 2 Ambro, Florin 2 Avdeev, Roman S. 2 Belkale, Prakash 2 Bin, Nguyen 2 Böhning, Christian 2 Borisov, Alexander 2 Casalaina-Martin, Sebastian 2 Cavalieri, Renzo 2 Chen, Meng 2 Chuvashova, Olga V. 2 Codogni, Giulio 2 Coelho, Juliana 2 Dan, Ananyo 2 Delcroix, Thibaut 2 Deopurkar, Anand 2 Diemer, Colin 2 Dutour-Sikiric, Mathieu 2 Esteves, Eduardo 2 Filipazzi, Stefano 2 Fujino, Osamu 2 Galkin, Sergeĭ 2 Gandini, Jacopo 2 Garbagnati, Alice 2 Graf von Bothmer, Hans-Christian 2 Greb, Daniel 2 Hayakawa, Takayuki 2 Inchiostro, Giovanni 2 Joshua, Roy 2 Kapustka, Michał 2 Kaur, Inder 2 Kawakita, Masayuki 2 Kazanova, Anna ...and 291 more Authors
all top 5

#### Cited in 101 Serials

 39 Advances in Mathematics 19 Duke Mathematical Journal 19 Transactions of the American Mathematical Society 18 Journal of Algebra 18 Journal of Algebraic Geometry 13 Transformation Groups 12 Mathematische Annalen 12 Mathematische Zeitschrift 12 International Journal of Mathematics 10 Compositio Mathematica 10 Inventiones Mathematicae 10 Manuscripta Mathematica 9 Journal für die Reine und Angewandte Mathematik 9 Journal of the European Mathematical Society (JEMS) 8 Proceedings of the American Mathematical Society 7 Tohoku Mathematical Journal. Second Series 7 Annals of Mathematics. Second Series 6 Journal of Pure and Applied Algebra 6 Michigan Mathematical Journal 6 Selecta Mathematica. New Series 5 Annales de l’Institut Fourier 5 Proceedings of the Japan Academy. Series A 5 Journal of the American Mathematical Society 4 Communications in Algebra 4 Journal of Mathematical Sciences (New York) 4 Advances in Geometry 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Journal of Geometry and Physics 3 Geometriae Dedicata 3 Publications Mathématiques 3 Mathematische Nachrichten 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Algebras and Representation Theory 3 Proceedings of the Steklov Institute of Mathematics 3 European Journal of Mathematics 3 Bollettino dell’Unione Matematica Italiana 2 Russian Mathematical Surveys 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Documenta Mathematica 2 Representation Theory 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Central European Journal of Mathematics 2 Algebra & Number Theory 2 Peking Mathematical Journal 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the Moscow Mathematical Society 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applicable Algebra in Engineering, Communication and Computing 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Lie Theory 1 Electronic Journal of Probability 1 Séminaire Lotharingien de Combinatoire 1 Taiwanese Journal of Mathematics 1 Geometry & Topology 1 Revista Matemática Complutense 1 Journal of High Energy Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology and Analysis 1 Kyoto Journal of Mathematics 1 The Journal of Software for Algebra and Geometry 1 Research in the Mathematical Sciences 1 Annals of $$K$$-Theory 1 Transactions of the American Mathematical Society. Series B ...and 1 more Serials
all top 5

#### Cited in 29 Fields

 379 Algebraic geometry (14-XX) 34 Several complex variables and analytic spaces (32-XX) 32 Group theory and generalizations (20-XX) 32 Differential geometry (53-XX) 21 Convex and discrete geometry (52-XX) 16 Commutative algebra (13-XX) 13 Combinatorics (05-XX) 10 Nonassociative rings and algebras (17-XX) 8 Associative rings and algebras (16-XX) 8 Category theory; homological algebra (18-XX) 6 Number theory (11-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 $$K$$-theory (19-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.