11 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
Generic curves and non-coprime Catalans
Eugene Gorsky, Mikhail Mazin, Alexei Oblomkov
We compute the Poincaré polynomials of the compactified Jacobians for plane curve singularities with Puiseaux exponents , and relate them to the combinatorics of $q,t…
Compactified Jacobians and q,t-Catalan numbers, II
Evgeny Gorsky, Mikhail Mazin
We continue the study of the rational-slope generalized -Catalan numbers . We describe generalizations of the bijective constructions of J. Haglund and N. Loehr…
Compactified Jacobians and q,t-Catalan Numbers, I
E. Gorsky, Mikhail Mazin
J. Piontkowski described the homology of the Jacobi factor of a plane curve singularity with one Puiseux pair. We discuss the combinatorial structure of his answer, in particular,…
Geometric Theory of Parshin's Residues. Toric Neighborhoods of Parshin's Points
Mikhail Mazin
The paper consist of two parts. In the first part we introduce flags of lattices and associated injective systems of (non-normal) cones and projective systems of (non-normal) affin…
Parshin Residues via Coboundary Operators
Mikhail Mazin
The article consist of two main parts: an analog of the Leray Theory for Singular Varieties and its application to the Theory of Parshin's Residues. The first part is independent f…