most citedHomotopy groups of complements to ample divisors

3 citations · 7 across the 5 of their papers we have counts for

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math.AG20051 cited

Lectures on topology of complements and fundamental groups

A. Libgober

This is an introduction to topology of complement to plane curves and hypersurfaces in the projective space and is based on the lectures given in Lumini in February and in ICTP (Tr…

math.AG2005

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…

math.AG20041 cited

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…

math.AG20042 cited

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…

math.AG20043 cited

Homotopy groups of complements to ample divisors

A. Libgober

We study the homotopy groups of complements to reducible divisors on non-singular projective varieties with ample components and isolated non normal crossings. We prove a vanishing…

math.AG20031 cited

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…