3 citations · 5 across the 2 of their papers we have counts for
6 papers
The Severi problem for Hirzebruch surfaces
Vsevolod Shevchishin
We prove that the locus of irreducible nodal curves on a given Hirzebruch surface F_k of given linear equivalency class and genus g is irreducible.
On the local version of the Severi problem
V. Shevchishin
For a given singularity of a plane curve we consider the locus of nodal deformations of the singularity with the given number of nodes and describe possible components of the locus…
Pseudoholomorphic curves and the symplectic isotopy problem
Vsevolod Shevchishin
The deformation problem for pseudoholomorphic curves and related geometrical properties of the total moduli space of pseudoholomorphic curves are studied. A sufficient condition fo…
Complex Curves in Almost-Complex Manifolds and Meromorphic Hulls
Sergei Ivashkovich, Vsevolod Shevchishin
This are the notes of a course, given by the first author for the Graduiertenkollegs (=graduate students) at the Ruhr-University Bochum, in December 1997. These lectures pursued tw…
A moduli space of non-compact curves on a complex surface
Vsevolod Shevchishin
We show that under mild boundary conditions the moduli space of non-compact curves on a complex surface is (locally) an analytic subset of a ball in a Banach manifold, defined by {…
Pseudo-holomorphic curves and envelopes of meromorphy of two-spheres in
Sergei Ivashkovich, Vsevolod Shevchishin
We prove that the envelope of meromorphy of any imbedded symplectic sphere in coincides with the whole . As a tool for the proof we use the Gromov theory of pseudo-hol…