V. A. Krasnov, “Real <nobr>$GM$</nobr>-Biquadrics”, Mat. Zametki, 2011, Volume 89, Issue 6,Pages <nobr>868

This article is cited in 1 paper

Real $GM$-Biquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University

Abstract: We consider real algebraic varieties that are the intersection of two real quadrics. For brevity, we refer to such varieties as real biquadrics. The rigid isotopy classes of real biquadrics have been described long ago. In the present paper, we find the rigid isotopy classes in which the biquadrics are $GM$-varieties.

Keywords: rigid isotopy class, real biquadric, $GM$-variety, cohomology group, complex projective algebraic variety, Grassmann variety, spectral sequence.

UDC: 512.7

Received: 16.03.2009
Revised: 18.03.2010

DOI: 10.4213/mzm8485