On degeneracy schemes of maps of vector bundles and applications to holomorphic foliations

Abstract

In this paper we provide sufficient conditions for maps of vector bundles on smooth projective varieties to be uniquely determined by their degeneracy schemes. We then specialize to holomorphic distributions and foliations. In particular, we provide sufficient conditions for distributions of arbitrary rank on projective spaces to be uniquely determined by their singular schemes.

13 pages. v2: inaccuracies fixed, more results added

References in corpus (1)

• On Fano foliations 2

Cited by in corpus (6)

• Codimension one holomorphic distributions on the projective three-space
• On the Singular Scheme of Split Foliations
• Foliations by Curves with Curves as Singularities
• On holomorphic distributions on Fano threefolds
• Moduli of Distributions via Singular Schemes
• Foliations with isolated singularities on Hirzebruch surfaces