Real algebraic maximal varieties.
type: Item
instance of: scholarly article
title: Real algebraic maximal varieties.
zbMATH Open document ID: 1067.14060
DOI: 10.1023/A:1024049813496
author: V. A. Krasnov
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: The paper is devoted to some problems of algebraic geometry. Real nonsingular algebraic projective varieties \(X\) are examined unter the assumption that the real algebraic cohomology group of \(X\) is maximal. The complexification of \(X\) is denoted by \(X(\mathbb{C})\). The existence of a canonical isomorphism between the cohomology groups \(H^{2q}(X(\mathbb{C}),\mathbb{F}_2)\) and \(H^q(X,\mathbb{F}_2)\) for every \(0\leq q\leq\dim X\) is proved. As stated, details of proofs are given in the work [\textit{V. A. Krasnov}, Izv. Math. 62, No. 3, 465--491 (1998); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 62, No. 3, 39--66 (1998; Zbl 0931.14033)].
Mathematics Subject Classification ID: 14P25
Mathematics Subject Classification ID: 14P99
zbMATH DE Number: 2120995
zbMATH Keywords: cohomology group
zbMATH Keywords: algebraically maximal variety
zbMATH Keywords: Chow ring
zbMATH Keywords: equivariant cyclic mapping
reviewed by: Vladimir N. Karpushkin
MaRDI profile type: Publication
full work available at URL: a:1024049813496
OpenAlex ID: W33453804
description: scientific article; zbMATH DE number 2120995