Cohomology of the Orlik-Solomon algebras and local systems

  title={Cohomology of the Orlik-Solomon algebras and local systems},
  author={Anatoly Libgober and Sergey Yuzvinsky},
The paper provides a combinatorial method to decide when the space of local systems with non vanishing first cohomology on the complement to an arrangement of lines in a complex projective plane has as an irreducible component a subgroup of positive dimension. Partial classification of arrangements having such a component of positive dimension and a comparison theorem for cohomology of Orlik-Solomon algebra and cohomology of local systems are given. The methods are based on Vinberg-Kac… CONTINUE READING
Highly Cited
This paper has 48 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 17 references

Arrangements and Cohomology

View 4 Excerpts
Highly Influenced

Geometry of cohomology support loci for local systems I

D. Arapura
J. Algebraic Geometry • 1997
View 8 Excerpts
Highly Influenced

Characteristic varieties of algebraic curves

A. Libgober
View 3 Excerpts

Cohomology of local systems of the complement of hyperplanes Arrangements and cohomology

H. Esnault, V. Schechtman
Annals of Combinatorics • 1997

Similar Papers

Loading similar papers…