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- Title
Classes of projectively equivalent quadrics over local rings.
- Authors
Starikova, O. A.
- Abstract
We study quadrics and quadratic forms in a projective space over a local ring R = 2R whose maximal ideal is principal and nilpotent. The problem of enumeration of classes of projectively equivalent quadrics is completed for |R* : R*2| = 2; when |R* : R*2| = 4, the problem is solved together with the enumeration problem of classes of projectively congruent quadrics under an additional condition. This research was carried out with the support of the the Russian Foundation for Basic Research (project 12-01-00968) and theMinistry of Education and Science (project 1.34.11).
- Subjects
PROJECTIVE spaces; SET theory; QUADRICS; LOCAL rings (Algebra); QUADRATIC forms; MAXIMAL ideals; NILPOTENT groups
- Publication
Discrete Mathematics & Applications, 2013, Vol 23, Issue 3/4, p385
- ISSN
0924-9265
- Publication type
Article
- DOI
10.1515/dma-2013-027