Topological Invariants of the Complement to Arrangements of Rational Plane Curves

Released on by José Ignacio Cogolludo-Agustín
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  • Topological Invariants of the Complement to Arrangements of Rational Plane Curves Book Detail

  • Author : José Ignacio Cogolludo-Agustín
  • Release Date : 2002
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 97
  • ISBN 13 : 0821829424
  • File Size : 3,3 MB
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Topological Invariants of the Complement to Arrangements of Rational Plane Curves by José Ignacio Cogolludo-Agustín PDF Summary

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).

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Singularities in Geometry and Topology

Singularities in Geometry and Topology

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