FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 3, PAGES 97-110

**Quadratic forms and quadrics of space over local rings**

O. A. Starikova

Abstract

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Relatively recent and new results on the enumeration of classes of
projective congruent quadrics and classes of projective equivalent
quadrics of projective spaces over a local ring $R\; =\; 2R$ with nilpotent
principal maximal ideal are reflected in the paper.
For the case of the basic ring $R$ with nonprincipal maximal
ideal, the enumerations of quadrics of projective plane are given up
to projective equivalence.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k113/k11308h.htm

Last modified: May 4, 2012