IJPAM: Volume 60, No. 4 (2010)
AN ASYMPTOTIC VANISHING THEOREM
FOR GENERIC FAT POINTS IN
POSITIVE CHARACTERISTIC
FOR GENERIC FAT POINTS IN
POSITIVE CHARACTERISTIC
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Let be an integral projective variety defined over an algebraically closed field
such that
. Fix an integer
and
with
ample. Here we prove (following a paper by Alexander and Hirschowitz) the existence of an integer
such that for all integers
either
or
, where
is a general union of i-points of
with
.
Received: March 18, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: fat point, zero-dimensional scheme
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 4