2 citations · 6 across the 5 of their papers we have counts for
10 papers
Regular Functions Transversal at Infinity
Alexandru Dimca, Anatoly Libgober
We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, suc…
Discrete torsion, orbifold elliptic genera, and the chiral de Rham complex
Anatoly Libgober, Matthew Szczesny
Given a compact complex algebraic variety with an effective action of a finite group , and a class , we introduce an orbifold elliptic genus with discrete tors…
Counting rational maps onto surfaces and fundamental groups
T. Bandman, A. Libgober
We consider the class of quasiprojective varieties admitting a dominant morphism onto a curve with negative Euler characteristic. The existence of such a morphism is a property of…
Local topology of reducible divisors
Alexandru Dimca, Anatoly Libgober
We show that the universal abelian cover of the complement to a germ of a reducible divisor on a complex space with isolated singularity is -connected provided that t…
McKay correspondence for elliptic genera
Lev Borisov, Anatoly Libgober
We establish a correspondence between orbifold and singular elliptic genera of a global quotient. While the former is defined in terms of the fixed point set of the action, the lat…
Zariski-van Kampen theorem for higher homotopy groups
D. Chéniot, A. Libgober
This paper gives an extension of the classical Zariski-van Kampen theorem describing the fundamental groups of the complements of plane singular curves by generators and relations.…