DIVISOR CLASS GROUP AND CANONICAL CLASS OF DETERMINANTAL RINGS DEFINED BY IDEALS OF MINORS OF A SYMMETRICAL MATRIX

Authors
CONCA A
Citation
A. Conca, DIVISOR CLASS GROUP AND CANONICAL CLASS OF DETERMINANTAL RINGS DEFINED BY IDEALS OF MINORS OF A SYMMETRICAL MATRIX, Archiv der Mathematik, 63(3), 1994, pp. 216-224
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Archiv der Mathematik → ACNP
ISSN journal
0003889X
Volume
63
Issue
3
Year of publication
1994
Pages
216 - 224
Database
ISI
SICI code
0003-889X(1994)63:3<216:DCGACC>2.0.ZU;2-X
Abstract
In this paper we study the rings defined by ideals of minors, not nece ssarily of fixed size, of a symmetric matrix of indeterminates. We pro ve that they are normal, compute the divisor class group and the canon ical class. We determine the Gorenstein rings among the rings under co nsideration.