Topological Invariants of the Complement to Arrangements of Rational Plane Curves PDF Download

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Topological Invariants of the Complement to Arrangements of Rational Plane Curves

Topological Invariants of the Complement to Arrangements of Rational Plane Curves PDF Author: José Ignacio Cogolludo-Agustín
Publisher: American Mathematical Soc.
ISBN: 0821829424
Category : Mathematics
Languages : en
Pages : 97

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Book Description
The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).