Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane P_ω~2

摘要

The main goal of this work is the study of the cohomology ring of P_ω~2R,being R a reduced algebraic curve in the complex weighted projective plane P_ω~2 whose irreducible components are all rational(possibly singular)curves.In particular,holomorphic(rational) representatives are found for the cohomology classes.