Victor V. Batyrev

4.2k total citations
28 papers, 850 citations indexed

About

Victor V. Batyrev is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Victor V. Batyrev has authored 28 papers receiving a total of 850 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Geometry and Topology, 16 papers in Mathematical Physics and 10 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Victor V. Batyrev's work include Algebraic Geometry and Number Theory (26 papers), Advanced Algebra and Geometry (13 papers) and Advanced Combinatorial Mathematics (10 papers). Victor V. Batyrev is often cited by papers focused on Algebraic Geometry and Number Theory (26 papers), Advanced Algebra and Geometry (13 papers) and Advanced Combinatorial Mathematics (10 papers). Victor V. Batyrev collaborates with scholars based in Germany, Russia and United States. Victor V. Batyrev's co-authors include David A. Cox, Yu. I. Manin, Duco van Straten, Bumsig Kim, Ionuţ Ciocan-Fontanine, Yuri Tschinkel, Maximilian Kreuzer, Yuri Tschinkel, Bernard Teissier and Klaus Altmann and has published in prestigious journals such as Acta Mathematica, Proceedings of the American Mathematical Society and Journal of Physics B Atomic Molecular and Optical Physics.

In The Last Decade

Victor V. Batyrev

24 papers receiving 710 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Victor V. Batyrev Germany	14	798	365	227	207	109	28	850
Carel Faber Sweden	12	635 0.8×	480 1.3×	101 0.4×	159 0.8×	78 0.7×	32	745
Keiji Oguiso Japan	16	736 0.9×	480 1.3×	106 0.5×	91 0.4×	65 0.6×	76	787
Anatoly Libgober United States	14	587 0.7×	390 1.1×	213 0.9×	128 0.6×	73 0.7×	63	663
V. I. Danilov Russia	12	710 0.9×	288 0.8×	245 1.1×	317 1.5×	199 1.8×	25	839
Lothar Göttsche Italy	18	922 1.2×	690 1.9×	84 0.4×	209 1.0×	127 1.2×	33	1.0k
Ludmil Katzarkov United States	15	664 0.8×	479 1.3×	103 0.5×	103 0.5×	46 0.4×	61	712
Yongbin Ruan United States	18	1.4k 1.7×	972 2.7×	203 0.9×	139 0.7×	75 0.7×	54	1.5k
Christian Okonek Germany	15	1.1k 1.4×	720 2.0×	96 0.4×	235 1.1×	145 1.3×	42	1.3k
Burt Totaro United States	16	731 0.9×	522 1.4×	106 0.5×	189 0.9×	85 0.8×	52	791
Сергей Константинович Ландо Russia	11	366 0.5×	211 0.6×	170 0.7×	97 0.5×	81 0.7×	29	471

Countries citing papers authored by Victor V. Batyrev

Since Specialization

Citations

This map shows the geographic impact of Victor V. Batyrev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Victor V. Batyrev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Victor V. Batyrev more than expected).

Fields of papers citing papers by Victor V. Batyrev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Victor V. Batyrev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Victor V. Batyrev. The network helps show where Victor V. Batyrev may publish in the future.

Co-authorship network of co-authors of Victor V. Batyrev

This figure shows the co-authorship network connecting the top 25 collaborators of Victor V. Batyrev. A scholar is included among the top collaborators of Victor V. Batyrev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Victor V. Batyrev. Victor V. Batyrev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Batyrev, Victor V.. (2023). Canonical models of toric hypersurfaces. Algebraic geometry. 394–431.

Batyrev, Victor V., et al.. (2021). Mirror symmetry for quasi-smooth Calabi–Yau hypersurfaces in weighted projective spaces. Journal of Geometry and Physics. 164. 104198–104198. 2 indexed citations

Batyrev, Victor V., et al.. (2019). Струнные $E$-функции канонических торических трехмерных многообразий Фано и их приложения. Известия Российской академии наук Серия математическая. 83(4). 26–49. 1 indexed citations

Batyrev, Victor V., et al.. (2018). Stringy -functions of canonical toric Fano threefolds and their applications. Izvestiya Mathematics. 83(4). 676–697. 2 indexed citations

Batyrev, Victor V. & Yuri Tschinkel. (2018). Tamagawa numbers of polarized algebraic varieties. Astérisque. 9 indexed citations

Batyrev, Victor V., et al.. (2017). On the algebraic stringy Euler number. Proceedings of the American Mathematical Society. 146(1). 29–41. 1 indexed citations

Batyrev, Victor V., et al.. (2011). The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces. Tohoku Mathematical Journal. 63(4). 11 indexed citations

Batyrev, Victor V., et al.. (2010). Classification of Gorenstein Toric Del Pezzo Varieties in Arbitrary Dimension. Moscow Mathematical Journal. 10(2). 285–316. 6 indexed citations

Batyrev, Victor V., et al.. (2008). On the Geometry of SL(2)-Equivariant Flips. Moscow Mathematical Journal. 8(4). 621–646. 6 indexed citations

10.

Batyrev, Victor V., et al.. (2002). Toric Residues and Mirror Symmetry. Moscow Mathematical Journal. 2(3). 435–475. 14 indexed citations

11.

Batyrev, Victor V., Ionuţ Ciocan-Fontanine, Bumsig Kim, & Duco van Straten. (2000). Mirror symmetry and toric degenerations of partial flag manifolds. Acta Mathematica. 184(1). 1–39. 70 indexed citations

12.

Batyrev, Victor V.. (2000). Stringy Hodge numbers and Virasoro algebra. Mathematical Research Letters. 7(2). 155–164. 9 indexed citations

13.

Batyrev, Victor V., et al.. (1999). Einstein-Kähler metrics on symmetric toric Fano manifolds. Journal für die reine und angewandte Mathematik (Crelles Journal). 1999(512). 225–236. 29 indexed citations

14.

Batyrev, Victor V.. (1997). On the Betti numbers of birationally isomorphic projective varieties with trivial canonical bundles. arXiv (Cornell University). 4 indexed citations

15.

Batyrev, Victor V., et al.. (1996). Height zeta functions of toric varieties. Journal of Mathematical Sciences. 82(1). 3220–3239. 24 indexed citations

16.

Batyrev, Victor V., et al.. (1996). Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry. Topology. 35(4). 901–929. 83 indexed citations

17.

Batyrev, Victor V. & Yuri Tschinkel. (1995). Rational points of bounded height on compactifications of anisotropic tori. International Mathematics Research Notices. 1995(12). 591–591. 30 indexed citations

18.

Batyrev, Victor V.. (1991). On the classification of smooth projective toric varieties. Tohoku Mathematical Journal. 43(4). 72 indexed citations

19.

Batyrev, Victor V. & Yu. I. Manin. (1990). Sur le nombre des points rationnels de hauteur borné des variétés algébriques. Mathematische Annalen. 286(1-3). 27–43. 79 indexed citations

20.

Batyrev, Victor V.. (1982). TOROIDAL FANO 3-FOLDS. Mathematics of the USSR-Izvestiya. 19(1). 13–25. 33 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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