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arXiv · 2111.09134

Degree of logarithmic foliations of type (1,1,1)

Mariano Chehebar
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Abstract

The space of codimension one holomorphic foliations of degree 1 in a projective space has an irreducible component whose general element is a logarithmic differential 1-form with simple poles in three hyperplanes. We compute its projective degree by resolving its rational parametrization map through succesive blow-ups with smooth centers.

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Mariano Chehebar. 2021-11-17. Degree of logarithmic foliations of type (1,1,1). https://doi.org/10.1007/s13398-022-01319-0

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