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Sedykh, Vyacheslav Dmitrievich

Author ID: sedykh.vyacheslav-dmitrievich Recent zbMATH articles by "Sedykh, Vyacheslav Dmitrievich"
Published as: Sedykh, V. D.; Sedykh, Vyacheslav D.; Sedykh, Vyacheslav; Sedykh, Vyacheslav Dmitrievich; Sedykh, V.
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

Publications by Year

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 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

Citations by Year