Edit Profile (opens in new tab) Sedykh, Vyacheslav Dmitrievich Co-Author Distance Author ID: sedykh.vyacheslav-dmitrievich Published as: Sedykh, V. D.; Sedykh, Vyacheslav D.; Sedykh, Vyacheslav; Sedykh, Vyacheslav Dmitrievich; Sedykh, V. more...less External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 62 Publications since 1977, including 2 Additional arXiv Preprints Reviewing Activity: 4 Reviews Co-Authors: 14 Co-Authors with 5 Joint Publications 823 Co-Co-Authors all top 5 Co-Authors 57 single-authored 2 Romero-Fuster, María Carmen 2 Shapiro, Boris Zalmanovich 1 Agrachev, Andreĭ Aleksandrovich 1 Anosov, Dmitriĭ Viktorovich 1 Bogaevskij, Il’ya Aleksandrovich 1 Bortakovskii, A. S. 1 Budak, A. B. 1 Chubarikov, Vladimir Nikolaevich 1 Davydov, Alekseĭ Aleksandrovich 1 Goryunov, Victor V. 1 Gusein-Zade, Sabir M. 1 Treshchev, Dmitriĭ Valer’evich 1 Vasil’ev, Viktor Anatol’evich 1 Zarodov, V. R. all top 5 Serials 13 Functional Analysis and its Applications 5 Izvestiya: Mathematics 3 Russian Mathematical Surveys 3 Siberian Mathematical Journal 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Geometry 2 Mathematics of the USSR, Sbornik 2 Doklady Mathematics 2 Moscow Mathematical Journal 1 Mathematical Notes 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Matemática Contemporânea 1 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 1 Journal of Dynamical and Control Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Arnold Mathematical Journal all top 5 Fields 40 Global analysis, analysis on manifolds (58-XX) 29 Differential geometry (53-XX) 23 Manifolds and cell complexes (57-XX) 9 Convex and discrete geometry (52-XX) 5 Algebraic geometry (14-XX) 5 Geometry (51-XX) 4 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 116 times in 65 Documents Cited by ▼ Year ▼ Four vertices of a convex space curve. Zbl 0807.53002 Sedykh, V. D. 9 1994 On the topology of wave fronts in spaces of low dimension. Zbl 1251.57021 Sedykh, V. D. 8 2012 On the topology of stable Lagrangian maps with singularities of types \(A\) and \(D\). Zbl 1326.57049 Sedykh, V. D. 7 2015 Topology of singularities of a stable real caustic germ of type \(E_6\). Zbl 1432.57059 Sedykh, V. D. 7 2018 A theorem on four vertices of a convex space curve. Zbl 0777.53004 Sedykh, V. D. 6 1992 On the topology of symmetry sets of smooth submanifolds in \(\mathbb R^k\). Zbl 1148.58017 Sedykh, Vyacheslav D. 6 2006 The structure of the convex envelope of a space curve. Zbl 0464.58008 Sedykh, V. D. 5 1981 Resolution of corank 1 singularities of a generic front. Zbl 1048.32020 Sedykh, V. D. 4 2003 Structure of the convex hull of a space curve. Zbl 0588.58007 Sedykh, V. D. 4 1986 Discrete versions of the four-vertex theorem. Zbl 0911.51020 Sedykh, V. D. 4 1997 On the topology of the image of a smooth mapping with singularities of corank 1. Zbl 1246.58029 Sedykh, V. D. 3 2004 Singularities of convex hulls. Zbl 0531.58013 Sedykh, V. D. 3 1984 On the number of singularities, zero curvature points and vertices of a simple convex space curve. Zbl 0826.53002 Romero Fuster, M. C.; Sedykh, V. D. 3 1995 Convex hulls and the Legendre transform. Zbl 0559.58001 Sedykh, V. D. 3 1983 On two conjectures concerning convex curves. Zbl 1085.14028 Sedykh, V.; Shapiro, B. 3 2005 Theorem on four support vertices of a polygonal line. Zbl 0880.52002 Sedykh, V. D. 3 1996 Singularities of the convex hull of a curve in \(R^3\). Zbl 0369.58009 Sedykh, V. D. 3 1977 Stabilization of singularities of convex hulls. Zbl 0679.58005 Sedykh, V. D. 2 1989 Moduli of singularities of convex hulls. Zbl 0513.58008 Sedykh, V. D. 2 1981 On Young hulls of convex curves in \(\mathbb{R}^{2n}\). Zbl 0927.52006 Sedykh, Vyacheslav; Shapiro, Boris 2 1998 On the topology of singularities of Maxwell sets. Zbl 1065.58029 Sedykh, V. D. 2 2003 A lower estimate for the number of zero-torsion points of a space curve. Zbl 1008.53001 Romero-Fuster, M. C.; Sedykh, V. D. 2 1997 On Euler characteristics of manifolds of singularities of wave fronts. Zbl 1279.58019 Sedykh, V. D. 2 2012 On a real caustic of type \(E_6\). Zbl 1471.57033 Sedykh, Vyacheslav D. 2 2021 Double tangent planes to a space curve. Zbl 0677.53001 Sedykh, V. D. 1 1989 Resolution of corank 1 singularities in the image of a stable smooth map to a space of higher dimension. Zbl 1147.58039 Sedykh, V. D. 1 2007 Moduli of singularities of convex hulls. Zbl 0495.58004 Sedykh, V. D. 1 1981 Functional moduli of singularities of the convex hulls of manifolds of codimension 1 and 2. Zbl 0509.58005 Sedykh, V. D. 1 1982 Functional moduli of singularities of convex hulls of manifolds of codimension 1 and 2. Zbl 0521.58008 Sedykh, V. D. 1 1984 Connection of Lagrangian singularities with Legendre singularities under stereographic projection. Zbl 0848.51010 Sedykh, V. D. 1 1994 Some invariants of convex manifolds. Zbl 0855.57029 Sedykh, V. D. 1 1993 Some invariants of admissible homotopies of space curves. Zbl 1022.53005 Sedykh, V. D. 1 2001 Corank 1 singularities of stable smooth maps and special tangent hyperplanes to a space curve. Zbl 1112.14031 Sedykh, V. D. 1 2005 On the topology of stable corank-1 singularities on the boundary of a connected component of the complement to a front. Zbl 1114.58030 Sedykh, V. D. 1 2004 The topology of corank 1 multi-singularities of stable smooth mappings of equidimensional manifolds. Zbl 1069.58022 Sedykh, Vyacheslav D. 1 2005 A complete system of linear relations between the Euler characteristics of manifolds of corank 1 singularities of a generic front. Zbl 1072.58027 Sedykh, V. D. 1 2004 An infinitely smooth compact convex hypersurface with a shadow whose boundary is not twice-differentiable. Zbl 0706.53033 Sedykh, V. D. 1 1989 Double tangent planes to a space curve. Zbl 0721.53004 Sedykh, V. D. 1 1989 Strict convexity of a generic convex manifold. Zbl 1002.58524 Sedykh, V. D. 1 1995 Invariants of convex manifolds. Zbl 0834.53008 Sedykh, V. D. 1 1992 Invariants of strictly convex manifolds. Zbl 0813.57022 Sedykh, V. D. 1 1993 The image of a Lagrangian germ of type \(E_6^\pm \). Zbl 1522.57059 Sedykh, V. D. 1 2023 Adjacency indices for singularities of wave fronts in low dimensional spaces. Zbl 1271.58021 Sedykh, V. D. 1 2010 On the topology of cooriented wave fronts in spaces of small dimensions. Zbl 1259.57010 Sedykh, V. D. 1 2011 The topology of the complement to the caustic of a Lagrangian germ of type \(E_6^\pm \). Zbl 07794502 Sedykh, Vyacheslav D. 1 2023 The image of a Lagrangian germ of type \(E_6^\pm \). Zbl 1522.57059 Sedykh, V. D. 1 2023 The topology of the complement to the caustic of a Lagrangian germ of type \(E_6^\pm \). Zbl 07794502 Sedykh, Vyacheslav D. 1 2023 On a real caustic of type \(E_6\). Zbl 1471.57033 Sedykh, Vyacheslav D. 2 2021 Topology of singularities of a stable real caustic germ of type \(E_6\). Zbl 1432.57059 Sedykh, V. D. 7 2018 On the topology of stable Lagrangian maps with singularities of types \(A\) and \(D\). Zbl 1326.57049 Sedykh, V. D. 7 2015 On the topology of wave fronts in spaces of low dimension. Zbl 1251.57021 Sedykh, V. D. 8 2012 On Euler characteristics of manifolds of singularities of wave fronts. Zbl 1279.58019 Sedykh, V. D. 2 2012 On the topology of cooriented wave fronts in spaces of small dimensions. Zbl 1259.57010 Sedykh, V. D. 1 2011 Adjacency indices for singularities of wave fronts in low dimensional spaces. Zbl 1271.58021 Sedykh, V. D. 1 2010 Resolution of corank 1 singularities in the image of a stable smooth map to a space of higher dimension. Zbl 1147.58039 Sedykh, V. D. 1 2007 On the topology of symmetry sets of smooth submanifolds in \(\mathbb R^k\). Zbl 1148.58017 Sedykh, Vyacheslav D. 6 2006 On two conjectures concerning convex curves. Zbl 1085.14028 Sedykh, V.; Shapiro, B. 3 2005 Corank 1 singularities of stable smooth maps and special tangent hyperplanes to a space curve. Zbl 1112.14031 Sedykh, V. D. 1 2005 The topology of corank 1 multi-singularities of stable smooth mappings of equidimensional manifolds. Zbl 1069.58022 Sedykh, Vyacheslav D. 1 2005 On the topology of the image of a smooth mapping with singularities of corank 1. Zbl 1246.58029 Sedykh, V. D. 3 2004 On the topology of stable corank-1 singularities on the boundary of a connected component of the complement to a front. Zbl 1114.58030 Sedykh, V. D. 1 2004 A complete system of linear relations between the Euler characteristics of manifolds of corank 1 singularities of a generic front. Zbl 1072.58027 Sedykh, V. D. 1 2004 Resolution of corank 1 singularities of a generic front. Zbl 1048.32020 Sedykh, V. D. 4 2003 On the topology of singularities of Maxwell sets. Zbl 1065.58029 Sedykh, V. D. 2 2003 Some invariants of admissible homotopies of space curves. Zbl 1022.53005 Sedykh, V. D. 1 2001 On Young hulls of convex curves in \(\mathbb{R}^{2n}\). Zbl 0927.52006 Sedykh, Vyacheslav; Shapiro, Boris 2 1998 Discrete versions of the four-vertex theorem. Zbl 0911.51020 Sedykh, V. D. 4 1997 A lower estimate for the number of zero-torsion points of a space curve. Zbl 1008.53001 Romero-Fuster, M. C.; Sedykh, V. D. 2 1997 Theorem on four support vertices of a polygonal line. Zbl 0880.52002 Sedykh, V. D. 3 1996 On the number of singularities, zero curvature points and vertices of a simple convex space curve. Zbl 0826.53002 Romero Fuster, M. C.; Sedykh, V. D. 3 1995 Strict convexity of a generic convex manifold. Zbl 1002.58524 Sedykh, V. D. 1 1995 Four vertices of a convex space curve. Zbl 0807.53002 Sedykh, V. D. 9 1994 Connection of Lagrangian singularities with Legendre singularities under stereographic projection. Zbl 0848.51010 Sedykh, V. D. 1 1994 Some invariants of convex manifolds. Zbl 0855.57029 Sedykh, V. D. 1 1993 Invariants of strictly convex manifolds. Zbl 0813.57022 Sedykh, V. D. 1 1993 A theorem on four vertices of a convex space curve. Zbl 0777.53004 Sedykh, V. D. 6 1992 Invariants of convex manifolds. Zbl 0834.53008 Sedykh, V. D. 1 1992 Stabilization of singularities of convex hulls. Zbl 0679.58005 Sedykh, V. D. 2 1989 Double tangent planes to a space curve. Zbl 0677.53001 Sedykh, V. D. 1 1989 An infinitely smooth compact convex hypersurface with a shadow whose boundary is not twice-differentiable. Zbl 0706.53033 Sedykh, V. D. 1 1989 Double tangent planes to a space curve. Zbl 0721.53004 Sedykh, V. D. 1 1989 Structure of the convex hull of a space curve. Zbl 0588.58007 Sedykh, V. D. 4 1986 Singularities of convex hulls. Zbl 0531.58013 Sedykh, V. D. 3 1984 Functional moduli of singularities of convex hulls of manifolds of codimension 1 and 2. Zbl 0521.58008 Sedykh, V. D. 1 1984 Convex hulls and the Legendre transform. Zbl 0559.58001 Sedykh, V. D. 3 1983 Functional moduli of singularities of the convex hulls of manifolds of codimension 1 and 2. Zbl 0509.58005 Sedykh, V. D. 1 1982 The structure of the convex envelope of a space curve. Zbl 0464.58008 Sedykh, V. D. 5 1981 Moduli of singularities of convex hulls. Zbl 0513.58008 Sedykh, V. D. 2 1981 Moduli of singularities of convex hulls. Zbl 0495.58004 Sedykh, V. D. 1 1981 Singularities of the convex hull of a curve in \(R^3\). Zbl 0369.58009 Sedykh, V. D. 3 1977 all cited Publications top 5 cited Publications all top 5 Cited by 55 Authors 19 Sedykh, Vyacheslav Dmitrievich 7 Uspenskiĭ, Aleksandr Aleksandrovich 6 Lebedev, Pavel Dmitrievich 4 Nuño-Ballesteros, Juan José 3 Shapiro, Boris Zalmanovich 3 Zakalyukin, Vladimir M. 2 Aicardi, Francesca 2 Bogdanov, R. I. 2 Ghomi, Mohammad 2 Romero-Fuster, María Carmen 2 Romero Fuster, Maria del Carmen 2 Shapiro, Michael Z. 1 Akopyan, Arseniy V. 1 Alves Garcia, Ronaldo 1 Améndola, Carlos 1 Bárány, Imre 1 Bates, Larry M. 1 Beneš, Michal 1 Bray, Hubert L. 1 Dahlberg, Bjorn E. J. 1 Frey, William H. 1 Fukui, Toshizumi 1 Gabrielides, Nikolaos C. 1 Glazyrin, Alexey 1 Goryunov, Victor V. 1 Haviv, D. 1 Hayashida Mochida, Dirce Kiyomi 1 Houston, Kevin 1 Izumiya, Shyuichi 1 Jauregui, Jeffrey L. 1 Kurbatskiy, Aleksei Nikolaevich 1 Lebedev, Pabel Dmitrievich 1 Lee, Darrick 1 Matoušek, Jiří 1 Melko, O. Michael 1 Meroni, Chiara 1 Minarčík, Jiří 1 Musin, Oleg R. 1 Myasnichenko, O. M. 1 Pflug, Peter 1 Pór, Attila 1 Raffaelli, Matteo 1 Ranestad, Kristian 1 Soares Ruas, Maria Aparecida 1 Saeki, Osamu 1 Saldanha, Nicolau Corção 1 Sapidis, Nickolas S. 1 Sturmfels, Bernd 1 Tarasov, Alexey S. 1 Uribe-Vargas, Ricardo 1 van Manen, Martijn 1 Varchenko, Alexander Nikolaevich 1 Yomdin, Yosef 1 Živaljević, Rade T. 1 Zwonek, Włodzimierz all top 5 Cited in 39 Serials 12 Functional Analysis and its Applications 3 Geometriae Dedicata 2 Journal of Geometry 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Izvestiya: Mathematics 2 Moscow Mathematical Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of the Steklov Institute of Mathematics 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Discrete Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Journal of Soviet Mathematics 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Computer Aided Geometric Design 1 Physica D 1 Computational Mathematics and Modeling 1 Differential Geometry and its Applications 1 International Journal of Foundations of Computer Science 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Russian Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Advances in Geometry 1 Journal of Singularities 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Arnold Mathematical Journal 1 Ural Mathematical Journal all top 5 Cited in 20 Fields 27 Differential geometry (53-XX) 23 Global analysis, analysis on manifolds (58-XX) 13 Manifolds and cell complexes (57-XX) 11 Convex and discrete geometry (52-XX) 8 Algebraic geometry (14-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Partial differential equations (35-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year