IJPAM: Volume 57, No. 4 (2009)
FINITELY GENERATED SUBALGEBRAS OF COX RINGS
(CURVES OF HIGHER GENUS AND
EASY ABELIAN SURFACES)
(CURVES OF HIGHER GENUS AND
EASY ABELIAN SURFACES)
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 a free and finitely generated subgroup of
with
. Here in two cases (
a curve of genus
and
an Abelian surface with
) we get an exponential measure of non-finitely generation of the commutative ring
.
Received: November 11, 2009
AMS Subject Classification: 14H51, 14K99
Key Words and Phrases: Cox ring
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 4