Topology of Blow-ups and Enumerative Geometry

Details Topology of Blow-ups and Enumerative Geometry Topology of Blow-ups and Enumerative Geometry

2009-06-23

arxiv.org/abs/0906.4152v4

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Let M be the blow-up of a complex manifold along a submanifold. We determine
the integral cohomology ring and obtain a formula for the Chern classes of M.
As applications we determine the cohomology rings for the varieties of complete
conics and complete quadrices in 3-space, and justify two enumerative results
due to Schubert [S1].

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