DIVISOR CLASS GROUP AND CANONICAL CLASS OF RINGS DEFINED BY IDEALS OFPFAFFIANS

Authors
DENEGRI E
Citation
E. Denegri, DIVISOR CLASS GROUP AND CANONICAL CLASS OF RINGS DEFINED BY IDEALS OFPFAFFIANS, Communications in algebra, 23(12), 1995, pp. 4415-4426
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
23
Issue
12
Year of publication
1995
Pages
4415 - 4426
Database
ISI
SICI code
0092-7872(1995)23:12<4415:DCGACC>2.0.ZU;2-K
Abstract
In this paper we study the rings defined by ideals of pfaffians of a s kew symmetric matrix of indeterminates. We analyze the case in which t he pfaffians are not necessarily of fixed size. We prove that such rin gs are Cohen-Macaulay normal domains and we compute the divisor class group and the canonical class. It allows us to determine which of our rings are Gorenstein.