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math.DS2000
An explicit formula for the determinant of the Abelian integral matrix
A. A. Glutsuk
We consider a polynomial h(x,y) in two complex variables of degree n+1>1 with a generic higher homogeneous part. The rank of the first homology group of its nonsingular level curve…
math.DS1999
Smoothness of the uniformization of two-dimensional linear foliation on torus with nonstandard metric
A. A. Glutsuk
Consider a parallel plane foliation on real finite-dimensional linear vector space. It induces a foliation on the torus obtained by factorization of the space by the integer lattic…
math.DS1999
Nonlinear Stokes phenomena analytic classification invariants via generic perturbation
A. A. Glutsuk
For a generic deformation of a two-dimensional holomorphic vector field with elementary degenerate singular point (saddle-node) we express the Martinet - Ramis orbital analytic cla…