Topological Invariants of the Complement to Arrangements of Rational Plane Curves

Download or Read eBook Topological Invariants of the Complement to Arrangements of Rational Plane Curves PDF written by José Ignacio Cogolludo-Agustín and published by American Mathematical Soc.. This book was released on 2002 with total page 97 pages. Available in PDF, EPUB and Kindle.
Topological Invariants of the Complement to Arrangements of Rational Plane Curves
Author :
Publisher : American Mathematical Soc.
Total Pages : 97
Release :
ISBN-10 : 9780821829424
ISBN-13 : 0821829424
Rating : 4/5 (24 Downloads)

Book Synopsis Topological Invariants of the Complement to Arrangements of Rational Plane Curves by : José Ignacio Cogolludo-Agustín

Book excerpt: 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).


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