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Found 28 Documents (Results 1–28)

Generalized virtual polytopes and quasitoric manifolds. (English. Russian original) Zbl 1503.52037

Proc. Steklov Inst. Math. 318, 126-149 (2022); translation from Tr. Mat. Inst. Steklova 318, 139-165 (2022).
MSC:  52C99 14M25 52C35
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Newton polytopes and irreducible components of complete intersections. (English. Russian original) Zbl 1370.14043

Izv. Math. 80, No. 1, 263-284 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 281-304 (2016).
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Algebraic equations and convex bodies. (English) Zbl 1316.52011

Itenberg, Ilia (ed.) et al., Perspectives in analysis, geometry, and topology. On the occasion of the 60th birthday of Oleg Viro. Based on the Marcus Wallenberg symposium on perspectives in analysis, geometry, and topology, Stockholm, Sweden, May 19–25, 2008. Basel: Birkhäuser (ISBN 978-0-8176-8276-7/hbk; 978-0-8176-8277-4/ebook). Progress in Mathematics 296, 263-282 (2012).
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Arnol’d’s problem on hyperbolic surfaces in projective spaces. (English) Zbl 1239.57041

Tsfasman, M. A. (ed.) et al., Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya (ISBN 5-94057-259-6). 28-46 (2006).
MSC:  57R99 51A05 52B20
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Systems of equations with Newton polytopes in general position. (English) Zbl 1239.52008

Tsfasman, M. A. (ed.) et al., Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya (ISBN 5-94057-259-6). 4-27 (2006).
MSC:  52B12 13P15
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Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces. (English) Zbl 1151.14333

Davis, Chandler (ed.) et al., The Coxeter legacy. Reflections and projections. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3722-2/hbk). 129-157 (2006).
MSC:  14M25 52B05 14F43
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A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. (English. Russian original) Zbl 0798.52010

St. Petersbg. Math. J. 4, No. 4, 789-812 (1993); translation from Algebra Anal. 4, No. 4, 188-216 (1992).
MSC:  52B20 14M25 14C40
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Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. (English. Russian original) Zbl 0597.51014

Funct. Anal. Appl. 20, 41-50 (1986); translation from Funkts. Anal. Prilozh. 20, No. 1, 50-61 (1986).
Reviewer: J.Kateřiňák
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