Khovanskii, Askold; Monin, Leonid Fibered toric varieties. (English) Zbl 07794637 Mosc. Math. J. 23, No. 4, 545-558 (2023). Reviewer: Evgeny Smirnov (Moskva) MSC: 14M25 52B20 14C17 14N10 PDFBibTeX XMLCite \textit{A. Khovanskii} and \textit{L. Monin}, Mosc. Math. J. 23, No. 4, 545--558 (2023; Zbl 07794637) Full Text: arXiv Link
Limonchenko, Ivan Yu.; Monin, Leonid V.; Khovanskii, Askold G. 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). Reviewer: Piotr Pokora (Kraków) MSC: 52C99 14M25 52C35 PDFBibTeX XMLCite \textit{I. Yu. Limonchenko} et al., Proc. Steklov Inst. Math. 318, 126--149 (2022; Zbl 1503.52037); translation from Tr. Mat. Inst. Steklova 318, 139--165 (2022) Full Text: DOI arXiv
Khovanskii, A. G. 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). Reviewer: Serge Lawrencenko (Moskva) MSC: 14M25 32B20 13P15 52A39 52B20 32Q55 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Izv. Math. 80, No. 1, 263--284 (2016; Zbl 1370.14043); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 281--304 (2016) Full Text: DOI
Khovanskiĭ, Askold; Timorin, Vladlen On the theory of coconvex bodies. (English) Zbl 1397.52003 Discrete Comput. Geom. 52, No. 4, 806-823 (2014). Reviewer: Andreas Hochenegger (Köln) MSC: 52A20 14M25 52B45 52A39 PDFBibTeX XMLCite \textit{A. Khovanskiĭ} and \textit{V. Timorin}, Discrete Comput. Geom. 52, No. 4, 806--823 (2014; Zbl 1397.52003) Full Text: DOI arXiv
Khovanskii, Askold; Timorin, Vladlen Aleksandrov-Fenchel inequality for coconvex bodies. arXiv:1305.4484 Preprint, arXiv:1305.4484 [math.MG] (2013). MSC: 52A39 13H15 BibTeX Cite \textit{A. Khovanskii} and \textit{V. Timorin}, ``Aleksandrov-Fenchel inequality for coconvex bodies'', Preprint, arXiv:1305.4484 [math.MG] (2013) Full Text: arXiv OA License
Khovanskii, A. G. Completions of convex families of convex bodies. (English. Russian original) Zbl 1287.52010 Math. Notes 91, No. 3, 415-429 (2012); translation from Mat. Zametki 91, No. 3, 440-458 (2012). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 52A41 47H04 49J53 26E25 52A99 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Math. Notes 91, No. 3, 415--429 (2012; Zbl 1287.52010); translation from Mat. Zametki 91, No. 3, 440--458 (2012) Full Text: DOI
Kaveh, Kiumars; Khovanskii, Askold G. Convex bodies associated to actions of reductive groups. (English) Zbl 1284.14061 Mosc. Math. J. 12, No. 2, 369-396 (2012). Reviewer: Vladimir L. Popov (Moskva) MSC: 14L30 53D20 52A39 PDFBibTeX XMLCite \textit{K. Kaveh} and \textit{A. G. Khovanskii}, Mosc. Math. J. 12, No. 2, 369--396 (2012; Zbl 1284.14061) Full Text: arXiv Link
Kaveh, Kiumars; Khovanskii, Askold 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). MSC: 52A39 14M25 52B20 52B11 52B12 PDFBibTeX XMLCite \textit{K. Kaveh} and \textit{A. Khovanskii}, Prog. Math. 296, 263--282 (2012; Zbl 1316.52011) Full Text: DOI arXiv
Harada, Megumi (ed.); Kaveh, Kiumars (ed.); Khovanskii, Askold (ed.) Mini-workshop: New developments in Newton-Okounkov bodies. Abstracts from the mini-workshop held August 21–27, 2011. (English) Zbl 1349.00182 Oberwolfach Rep. 8, No. 3, 2327-2363 (2011). MSC: 00B05 00B25 14-06 52-06 14M25 52B12 PDFBibTeX XMLCite \textit{M. Harada} (ed.) et al., Oberwolfach Rep. 8, No. 3, 2327--2363 (2011; Zbl 1349.00182) Full Text: DOI
Khovanskii, A. G. Intersection theory and Hilbert function. (English. Russian original) Zbl 1271.13033 Funct. Anal. Appl. 45, No. 4, 305-315 (2011); translation from Funkts. Anal. Prilozh. 45, No. 4, 82-94 (2011). MSC: 13D40 14C17 11H06 14M25 52B12 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Funct. Anal. Appl. 45, No. 4, 305--315 (2011; Zbl 1271.13033); translation from Funkts. Anal. Prilozh. 45, No. 4, 82--94 (2011) Full Text: DOI
Kaveh, Kiumars; Khovanskii, A. G. Mixed volume and an extension of intersection theory of divisors. (English) Zbl 1287.14001 Mosc. Math. J. 10, No. 2, 343-375 (2010). Reviewer: Serge Lawrencenko (Moskva) MSC: 14C20 14C17 14M25 52A39 PDFBibTeX XMLCite \textit{K. Kaveh} and \textit{A. G. Khovanskii}, Mosc. Math. J. 10, No. 2, 343--375 (2010; Zbl 1287.14001) Full Text: arXiv Link
Esterov, A.; Khovanskii, A. Elimination theory and Newton polytopes. (English) Zbl 1192.14038 Funct. Anal. Other Math. 2, No. 1, 45-71 (2008). Reviewer: Ivan Soprunov (Cleveland) MSC: 14M25 14Q99 52A39 52B20 PDFBibTeX XMLCite \textit{A. Esterov} and \textit{A. Khovanskii}, Funct. Anal. Other Math. 2, No. 1, 45--71 (2008; Zbl 1192.14038) Full Text: DOI arXiv
Khovanskiĭ, A. G. 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 PDFBibTeX XMLCite \textit{A. G. Khovanskiĭ}, in: Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya. 28--46 (2006; Zbl 1239.57041)
Khovanskiĭ, A. G. 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 PDFBibTeX XMLCite \textit{A. G. Khovanskiĭ}, in: Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya. 4--27 (2006; Zbl 1239.52008)
Khovanskii, A.; Novikov, D. On affine hypersurfaces with everywhere nondegenerate second quadratic form. (English) Zbl 1132.52010 Mosc. Math. J. 6, No. 1, 135-152 (2006). MSC: 52A30 53A15 PDFBibTeX XMLCite \textit{A. Khovanskii} and \textit{D. Novikov}, Mosc. Math. J. 6, No. 1, 135--152 (2006; Zbl 1132.52010) Full Text: arXiv
Khovanskii, Askold 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). Reviewer: Ivan Soprunov (Cleveland) (MR2209026) MSC: 14M25 52B05 14F43 PDFBibTeX XMLCite \textit{A. Khovanskii}, in: The Coxeter legacy. Reflections and projections. Providence, RI: American Mathematical Society (AMS). 129--157 (2006; Zbl 1151.14333)
Khovanskii, A.; Novikov, D. \(L\)-convex-concave sets in real projective space and \(L\)-duality. (English) Zbl 1078.52503 Mosc. Math. J. 3, No. 3, 1013-1037 (2003). Reviewer: Rainer Löwen (Braunschweig) MSC: 52A30 52A35 PDFBibTeX XMLCite \textit{A. Khovanskii} and \textit{D. Novikov}, Mosc. Math. J. 3, No. 3, 1013--1037 (2003; Zbl 1078.52503) Full Text: arXiv
Khovanskii, A.; Novikov, D. \(L\)-convex-concave body in \(\mathbb RP^3\) contains a line. (English) Zbl 1043.52001 Geom. Funct. Anal. 13, No. 5, 1082-1119 (2003). Reviewer: Mircea Balaj (Oradea) MSC: 52A01 52A35 PDFBibTeX XMLCite \textit{A. Khovanskii} and \textit{D. Novikov}, Geom. Funct. Anal. 13, No. 5, 1082--1119 (2003; Zbl 1043.52001) Full Text: DOI arXiv
Khovanskii, A. Three lectures on Newton polyhedra. (English) Zbl 0992.14506 RIMS Kokyuroku 1233, 1-17 (2001). MSC: 14M25 51M20 52B99 PDFBibTeX XMLCite \textit{A. Khovanskii}, RIMS Kokyuroku 1233, 1--17 (2001; Zbl 0992.14506)
Khovanskij, A. G. Boundary indices of polynomial 1-forms with homogeneous components. (English. Russian original) Zbl 0990.37040 St. Petersbg. Math. J. 10, No. 3, 553-575 (1999); translation from Algebra Anal. 10, No. 3, 193-222 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37G99 52B20 14P25 PDFBibTeX XMLCite \textit{A. G. Khovanskij}, St. Petersbg. Math. J. 10, No. 3, 1 (1998; Zbl 0990.37040); translation from Algebra Anal. 10, No. 3, 193--222 (1998)
Khovanskij, A. Consistent partitions of polytopes and polynomial measures. (English) Zbl 0890.52008 Khovanskij, A. (ed.) et al., Topics in singularity theory. V. I. Arnold’s 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 180(34), 157-166 (1997). Reviewer: P.McMullen (London) MSC: 52B45 52B20 PDFBibTeX XMLCite \textit{A. Khovanskij}, Transl., Ser. 2, Am. Math. Soc. 180, 157--166 (1997; Zbl 0890.52008)
Khovanskij, Askol’d G.; Pukhlikov, Alexander V. Integral transforms based on Euler characteristic and their applications. (English) Zbl 0824.57017 Integral Transforms Spec. Funct. 1, No. 1, 19-26 (1993). MSC: 57Q99 52B45 44A12 PDFBibTeX XMLCite \textit{A. G. Khovanskij} and \textit{A. V. Pukhlikov}, Integral Transforms Spec. Funct. 1, No. 1, 19--26 (1993; Zbl 0824.57017) Full Text: DOI
Kantor, Jean-Michel; Khovanskij, Askold An application of the combinatorial Riemann-Roch theorem to the Ehrhart polynomial of integral polytopes in \(\mathbb{R}^ d\). (Une application du théorème de Riemann-Roch combinatoire au polynôme d’Ehrhart des polytopes entier de \(\mathbb{R}^ d\).) (French. Abridged English version) Zbl 0791.52012 C. R. Acad. Sci., Paris, Sér. I 317, No. 5, 501-507 (1993). Reviewer: G.Ishikawa (Sapporo) MSC: 52B20 14M25 PDFBibTeX XMLCite \textit{J.-M. Kantor} and \textit{A. Khovanskij}, C. R. Acad. Sci., Paris, Sér. I 317, No. 5, 501--507 (1993; Zbl 0791.52012)
Pukhlikov, A. V.; Khovanskij, A. G. Finitely additive measures of virtual polytopes. (Russian) Zbl 0778.52006 Algebra Anal. 4, No. 2, 161-185 (1992). Reviewer: H.-D.Hecker (Jena) MSC: 52B11 52A99 PDFBibTeX XMLCite \textit{A. V. Pukhlikov} and \textit{A. G. Khovanskij}, Algebra Anal. 4, No. 2, 161--185 (1992; Zbl 0778.52006)
Pukhlikov, A. V.; Khovanskii, A. G. 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). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 52B20 14M25 14C40 PDFBibTeX XMLCite \textit{A. V. Pukhlikov} and \textit{A. G. Khovanskii}, St. Petersbg. Math. J. 4, No. 4, 789--812 (1992; Zbl 0798.52010); translation from Algebra Anal. 4, No. 4, 188--216 (1992)
Pukhlikov, A. V.; Khovanskij, A. G. Finitely additive measures of virtual polytopes. (English. Russian original) Zbl 0791.52010 St. Petersbg. Math. J. 4, No. 2, 337-356 (1993); translation from Algebra Anal. 4, No. 2, 161-185 (1992). MSC: 52B11 52A99 PDFBibTeX XMLCite \textit{A. V. Pukhlikov} and \textit{A. G. Khovanskij}, St. Petersbg. Math. J. 4, No. 2, 337--356 (1992; Zbl 0791.52010); translation from Algebra Anal. 4, No. 2, 161--185 (1992)
Khovanskij, A. G. 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 MSC: 51M20 51F15 14M99 20H15 51M10 52Bxx PDFBibTeX XMLCite \textit{A. G. Khovanskij}, Funct. Anal. Appl. 20, 41--50 (1986; Zbl 0597.51014); translation from Funkts. Anal. Prilozh. 20, No. 1, 50--61 (1986) Full Text: DOI
Khovanskij, A. G. Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms. (English. Russian original) Zbl 0599.15009 Sov. Math., Dokl. 29, 710-713 (1984); translation from Dokl. Akad. Nauk SSSR 276, 1332-1334 (1984). Reviewer: B.Kind MSC: 15A45 52A40 15A15 15A69 15A63 26C05 26D05 PDFBibTeX XMLCite \textit{A. G. Khovanskij}, Sov. Math., Dokl. 29, 710--713 (1984; Zbl 0599.15009); translation from Dokl. Akad. Nauk SSSR 276, 1332--1334 (1984)