INVESTIGADORES
QUALLBRUNN Federico
artículos
Título:
On the Geometry of the singular locus of a codimension one foliation on P(n)
Autor/es:
OMEGAR CALVO-ANDRADE; ARIEL MOLINUEVO; FEDERICO QUALLBRUNN
Revista:
REVISTA MATEMATICA IBEROAMERICANA
Editorial:
UNIV AUTONOMA MADRID
Referencias:
Año: 2019 vol. 35
ISSN:
0213-2230
Resumen:
We will work with codimension one holomorphic foliations over the complex projective space, represented by integrable forms ω ∈ H0(Ω1,Pn(e)). Our main result is that, under suitable hypotheses, theKupka set of the singular locus of ω ∈ H0(Ω1, P3 (e)), defined algebraically as a scheme, turns out to be arithmetically Cohen-Macaulay. As a consequence, we prove the connectedness of the Kupka set in Pn, and thesplitting of the tangent sheaf of the foliation, provided that it is locallyfree.
