Persons: Khovanskii Askold Georgievich, List of publications

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Khovanskii Askold Georgievich

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1.	A. G. Khovanskii, A. Tronsgard, “On solvability of linear differential equations in finite terms”, Izv. RAN. Ser. Mat. (to appear)

2025
2.	T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulii Sergeevich Ilyashenko”, Uspekhi Mat. Nauk, 80:2(482) (2025), 171–183

2023
3.	Askold Khovanskii, Leonid Monin, “Fibered toric varieties”, Mosc. Math. J., 23:4 (2023), 545–558 ;

2022
4.	V. L. Arlazarov, A. Ya. Belov, V. O. Bugaenko, V. A. Vassiliev, A. L. Gorodentsev, S. A. Dorichenko, Yu. S. Ilyashenko, V. M. Imaykin, S. I. Komarov, A. G. Kushnirenko, Yu. P. Lysov, A. L. Semenov, V. M. Tikhomirov, A. K. Tolpygo, A. G. Khovanskii, P. A. Yakushkin, I. V. Yaschenko, “Nikolai Nikolaevich Konstantinov (obituary)”, Russian Math. Surveys, 77:3 (2022), 531–541
5.	Ivan Yu. Limonchenko, Leonid V. Monin, Askold G. Khovanskii, “Generalized Virtual Polytopes and Quasitoric Manifolds”, Proc. Steklov Inst. Math., 318 (2022), 126–149

2021
6.	B. Ya. Kazarnovskii, A. G. Khovanskii, A. I. Esterov, “Newton polytopes and tropical geometry”, Russian Math. Surveys, 76:1 (2021), 91–175

2020
7.	Kiumars Kaveh, Askold G. Khovanskii, “Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space”, SIGMA, 16 (2020), 16 , 12 pp., arXiv: 1911.00118 ;
8.	M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Russian Math. Surveys, 75:6 (2020), 1143–1152

2019
9.	A. Khovanskii, “Integriruemost v konechnom vide i deistviya grupp Li”, Mosc. Math. J., 19:2 (2019), 329–341

2018
10.	A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
11.	A. G. Khovanskii, “Solvability of Equations by Quadratures and Newton's Theorem”, Arnold Mathematical Journal, 4:2 (2018), 193–211

2017
12.	A. G. Khovanskii, Leonid Monin, “The resultant of developed systems of Laurent polynomials”, Mosc. Math. J., 17:4 (2017), 717–740

2016
13.	A. G. Khovanskii, “Newton polytopes and irreducible components of complete intersections”, Izv. Math., 80:1 (2016), 263–284
14.	V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatol'evich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157
15.	K. Kaveh, A. Khovanskii, “Complete intersections in spherical varieties”, Special Issue: The Mathematics of Joseph Bernstein, Selecta Mathematica, 22:4 (2016), 2099–2141
16.	Yu. Burda, A. Khovanskii, “Polynomials invertible in $k$-radicals”, Arnold Mathematical Journal, 2:1 (2016), 121–138

2015
17.	A. G. Khovanskii, “On Algebraic Functions Integrable in Finite Terms”, Funct. Anal. Appl., 49:1 (2015), 50–56
18.	A. Khovanskii, “Irreducible components of generic complete intersections”, Toricheskaya topologiya, teoriya chisel i ikh prilozheniya, Materialy Mezhdunarodnoi konferentsii (06–12 sentyabrya 2015 goda, Khabarovsk), Izdatelstvo TOGU, Khabarovsk, 2015, 27–31
19.	B. Ya. Kazarnovskiǐ, A. G. Hovanskiǐ, “The tropical Noetherity and Gröbner bases”, St. Petersburg Math. J., 26:5 (2015), 797–811

2014
20.	Yuri Burda, Ascold Khovanskii, “Signatures of branched coverings and solvability in quadratures”, Mosc. Math. J., 14:2 (2014), 225–237
21.	Proc. Steklov Inst. Math., 286 (2014), 268–284
22.	A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179
23.	V. L. Arlazarov, E. A. Dinitz, Yu. S. Ilyashenko, A. V. Karzanov, S. M. Karpenko, A. A. Kirillov, N. N. Konstantinov, M. A. Kronrod, O. P. Kuznetsov, L. B. Okun', P. A. Pevzner, A. L. Semenov, I. A. Faradzhev, B. V. Cherkasskii, A. G. Khovanskii, “Georgy Maksimovich Adelson-Velsky (obituary)”, Russian Math. Surveys, 69:4 (2014), 743–751
24.	V. L. Arlazarov, O. A. Slavin, V. V. Farsobina, A. Khovanskii, “The search for the optimal position during the comparison of digitized images”, Scientific and Technical Information Processing, 41, no. 5, Springer-Verlag New York, Inc., Secaucus, NJ, 2014, 293–301
25.	A. Khovanskii, V. Timorin, “On the theory of coconvex bodies”, Discrete & Computational Geometry, 52:4 (2014), 806–823
26.	K. Kaveh, A. Khovanskii, “Note on the Grothendieck group of subspaces of rational functions and Shokurov's $b$-divisors”, Canadian Mathematical Bulletin, 57:3 (2014), 562–572
27.	Megumi Harada, Kiumars Kaveh, A. Khovanskii, “Okounkov Bodies and Applications”, Report No. 27/2014, Oberwolfach Reports, EMS, 11, no. 2, 2014, 1459–1513

2013
28.	A. G. Khovanskii, Mat. Pros., 17, MCCME, Moscow, 2013, 93–106
29.	A. G. Khovanskii, Mat. Pros., 17, MCCME, Moscow, 2013, 42–60
30.	V. L. Arlazarov, O. A. Slavin, V. V. Farsobina, A. G. Khovanskii, “Poisk optimalnogo polozheniya pri sravnenii otsifrovannykh obrazov”, Iskusstvennyi intellekt i prinyatie reshenii, 2013, no. 3, 48–58
31.	A. G. Khovanskii, “Polinomy Chebyshëva i ikh obrascheniya”, Matem. prosv., ser. 3, 17, Izd-vo MTsNMO, M., 2013, 93–106
32.	A. G. Khovanskii, “Postroeniya tsirkulem i lineikoi”, Matem. prosv., ser. 3, 17, Izd-vo MTsNMO, M., 2013, 42–60
33.	K. Kaveh, A. Khovanskii, “On mixed multiplicities of ideals”, 2013, 20 pp., arXiv: 1310.7979v1

2014
34.	V. L. Arlazarov, O. A. Slavin, V. V. Farsobina, A. G. Khovanskii, “Find the best position by comparing digitated images”, Scientific and Technical Information Processing, 41:5 (2014), 293–301

2012
35.	Kiumars Kaveh, Askold G. Khovanskii, “Convex bodies associated to actions of reductive groups”, Mosc. Math. J., 12:2 (2012), 369–396
36.	A. G. Khovanskii, “Completions of Convex Families of Convex Bodies”, Math. Notes, 91:3 (2012), 415–429
37.	K. Kaveh, A. Khovanskii, “Newton–Okounkov bodies, semigroups of integral points, graded algebras and intersection theory”, Annals of Mathematics, 176:2 (2012), 925–978
38.	A. Khovanskii, A. Varchenko, “Arnold's Seminar, First Years”, Notices of the AMS, 59:3 (2012), 393–396
39.	K. Kaveh, A. Khovanskii, “Algebraic equations and convex bodies”, Perspectives in Analysis, Geometry and Topology, Progress in Mathematics, 296, Springer Science+Business Media, 2012, 263–282
40.	V. I. Arnold, A. N. Varchenko, A. B. Givental, A. G. Khovanskii, Singularities of functions, wave fronts, caustics and multidimensional integrals, Reviews in Mathematics and Mathematical Physics, 14, no. 2, Cambridge Scientific Publishers, Cambridge, 2012, 122 pp.

2011
41.	A. G. Khovanskii, “Intersection theory and Hilbert function”, Funct. Anal. Appl., 45:4 (2011), 305–315
42.	Kiumars Kaveh, A. G. Khovanskii, “Newton polytopes for horospherical spaces”, Mosc. Math. J., 11:2 (2011), 265–283
43.	Yu. Burda, A. Khovanskii, “Branching data for algebraic functions and representability in radicals”, Algebraic method in dinamical systems, 94, Banach Center Publ., Warsaw, 2011, 131–142
44.	B. Kazarnovskii, A. Khovanskii, “Universal Groebner basis”, Proceedings of the International Conference on Polynomial Computer Algebra, Saint Peterburg, 2011, 65–69
45.	V. Arlazarov, O. Slavin, A. Khovanskii, “Estimation of the distance between images for translation”, Doklady Mathematics, 83:2 (2011), 272–274
46.	Megumi Harada, Kiumars Kaveh, A. Khovanskii, “New Developments in Newton–Okounkov Bodies”, Report No. 41/2011, Oberwolfach Reports, EMS, 8, no. 3, 2011, 2327–2364

2010
47.	Kiumars Kaveh, A. G. Khovanskii, “Mixed volume and an extension of intersection theory of divisors”, Mosc. Math. J., 10:2 (2010), 343–375
48.	S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832
49.	D. Anosov, V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Khovanskii, S. Lando, S. Novikov, A. Sossinsky, M. Tsfasman, V. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 10:3 (2010), 481–483
50.	V. A. Timorin, A. G. Khovanskii, Mat. Pros., 14, MCCME, Moscow, 2010, 30–57
51.	V. A. Timorin, A. G. Khovanskii, “Mnogogranniki i uravneniya”, Matem. prosv., ser. 3, 14, Izd-vo MTsNMO, M., 2010, 30–57
52.	K. Kaveh, A. Khovanskii, “Moment polytopes, semigroup of representations and Kazarnovskii's theorem”, Journal of Fixed Point Theory and Applications, 7:2 (2010), 401–417

2009
53.	A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko, “Nikolai Nikolaevich Nekhoroshev (obituary)”, Russian Math. Surveys, 64:3 (2009), 561–566

2008
54.	A. Khovanskii, “Mnogogranniki i algebra”, Trudy Instituta sistemnogo analiza RAN, 38 (2008), 23–35
55.	Yu. Burda, A. Khovanskii, “Degree of rational mapping, and the theorems of Sturm and Tarski”, Journal of Fixed Point Theory and Applications, 3:1 (2008), 79–93
56.	A. Khovanskii, “Logarithmic functional and reciprocity laws”, Toric Topology, International Conference (May 28–June 3, 2006, Osaka City University, Osaka, Japan), Contemporary Mathematics, 460, Amer. Math. Soc., Providence, RI, 2008, 221–229
57.	A. Esterov, A. Khovanskii, “Elimination theory and Newton polyhedra”, Functional Analysis and Other Mathematics, 2, no. 1, Springer Berlin/Heidelberg, 2008, 45–71

2014
58.	A. Khovanskii, Topological Galois theory. Solvability and unsolvability of equations in finite terms, Translated by Valentina Kiritchenko and Vladlen Timorin, Springer Monographs in Mathematics, Springer Berlin Heidelberg, 2014, xviii+305 pp.

2008
59.	K. Kaveh, A. Khovanskii, “Convex bodies and algebraic equations on affine varieties”, 2008, 44 pp., arXiv: 0804.4095

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