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arXiv · 1806.04814

Degree of the exceptional component of foliations in P3

Artur Rossini·Israel Vainsencher
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Abstract

The purpose of this work is to obtain the degree of the exceptional component of the space of holomorphic foliations of degree two and codimension one in P^3. We construct a parameter space as an explicit fiber bundle over the variety of complete flags. Using tools from equivariant intersection theory, especially Bott's formula, the degree is expressed as an integral over our parameter space.

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Artur Rossini, Israel Vainsencher. 2018-06-13. Degree of the exceptional component of foliations in P3. https://arxiv.org/abs/1806.04814

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