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2019 |
1. |
В. В. Батырев, К. Шаллер, “Струнные $E$-функции канонических торических трехмерных многообразий Фано и их приложения”, Изв. РАН. Сер. матем., 83:4 (2019), 26–49 ; V. V. Batyrev, K. Schaller, “Stringy $E$-functions of canonical toric Fano threefolds and their applications”, Izv. Math., 83:4 (2019), 676–697 |
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2017 |
2. |
Victor Batyrev, The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality, 2017 (Published online) , 35 pp., arXiv: 1707.02602 |
3. |
V. Batyrev, K. Schaller, “Stringy Chern classes of singular toric varieties and their applications”, Commun.Num.Theor.Phys., 11 (2017), 1–40 |
4. |
V. Batyrev, G. Gagliardi, “On the algebraic stringy Euler number”, Proc. Amer. Math. Soc., 145 (2017), 1–13 (to appear) |
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2016 |
5. |
V. Batyrev, A. Moreau, Satellites of spherical subgroups, 2016 (Published online) , 39 pp., arXiv: 1610.07377 |
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2013 |
6. |
V. Batyrev, A. Moreau, “The arc space of horospherical varieties and motivic integration”, Compositio Mathematica, 149:8 (2013), 1327–1352 |
7. |
V. Batyrev, M. Kreuzer, “Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties”, Strings, gauge fields, and the geometry behind, World Sci. Publ., Hackensack, NJ, 2013, 187–212 |
8. |
V. Batyrev, J. Hofscheier, Lattice polytopes, finite abelian subgroups in $\operatorname{SL}(n)$ and coding theory, 2013 (Published online) , 18 pp., arXiv: 1309.5312 |
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2012 |
9. |
K. Altmann, V. Batyrev, Y. Karshon, “Toric geometry. Abstracts from the workshop held April 15–21, 2012.”, Oberwolfach Reports, 9:2 (2012), 1231–1306 |
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2011 |
10. |
V. Batyrev, M. Blume, “On generalisations of Losev-Manin moduli spaces for classical root systems”, Pure Appl. Math. Q., 7:4 (2011), 1053–1084 |
11. |
V. Batyrev, M. Blume, “The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces”, The Tohoku Mathematical Journal. Second Series, 63:4 (2011), 581–604 |
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2010 |
12. |
Victor Batyrev, Dorothee Juny, “Classification of Gorenstein toric Del Pezzo varieties in arbitrary dimension”, Mosc. Math. J., 10:2 (2010), 285–316 |
13. |
V. Batyrev, M. Kreuzer, “Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions”, Advances in Theoretical and Mathematical Physics, 14:3 (2010), 879–898 |
14. |
V. Batyrev, J. Hofscheier, A generalization of a theorem of G. K. White, 2010 (Published online) , 12 pp., arXiv: 1004.3411 |
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2009 |
15. |
K. Altmann, V. Batyrev, Y. Karshon, “Toric geometry. Abstracts from the workshop held January 4th – January 10th, 2009.”, Oberwolfach Reports, 6:1 (2009), 5–74 |
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2008 |
16. |
V. Batyrev, F. Haddad, “On the Geometry of $\operatorname{SL}(2)$-Equivariant Flips”, Mosc. Math. J., 8:4 (2008), 621–646 |
17. |
V. Batyrev, B. Nill, “Combinatorial aspects of mirror symmetry”, Integer points in polyhedra—geometry, number theory, representation theory, algebra, optimization, statistics, Contemp. Math., 452, Amer. Math. Soc., Providence, RI, 2008, 35–66 |
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