IJPAM: Volume 65, No. 1 (2010)

GENERAL UNIONS OF $p$-FATS POINTS
WITH BAD COHOMOLOGY

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Here we show that in characteristic $p$ general unions $Z\subset \mathbb {P}^n$ of certain zero-dimensional connected schemes related to $p$-power have bad posulation, i.e. $h^0(\mathbb {P}^n,\mathcal {I}_Z(kq))>0$ and $h^1(\mathbb {P}^n,\mathcal {I}_Z(kq))>0$.

Received: September 23, 2010

AMS Subject Classification: 14N05

Key Words and Phrases: zero-dimensional scheme, fat point, $p$-power, projective space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 1