Classes of projectively equivalent quadrics over local rings

✍ Scribed by Starikova, O. A.

• Book ID: 126583728
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2013
• Tongue: English
• Weight: 146 KB
• Volume: 23
• Category: Article
• ISSN: 0924-9265
• DOI: 10.1515/dma-2013-027

✦ Synopsis

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 the Ministry of Education and Science (project 1.34.11).