Varieties of complexes and foliations

Details Varieties of complexes and foliations Varieties of complexes and foliations

2011-11-23

arxiv.org/abs/1111.5514v1

Mathematics

Algebraic Geometry

Scientific paper

Let $\mathcal F(r, d)$ denote the moduli space of algebraic foliations of
codimension one and degree $d$ in complex proyective space of dimension $r$. We
show that $\mathcal F(r, d)$ may be represented as a certain linear section of
a variety of complexes. From this fact we obtain information on the irreducible
components of $\mathcal F(r, d)$.

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