The intersection rings of the conic varieties
type: Item
instance of: scholarly article
title: The intersection rings of the conic varieties
zbMATH Open document ID: 0758.14036
author: Konrad Drechsler
author: Ulrich Sterz
published in: Beiträge zur Algebra und Geometrie
publication date: 1992-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/138480
review text: We intend to compute the intersection rings of the conic varieties \(N(\overline M)\) which we defined in Beitr. Algebra Geom. 30, 117-133 (1990; Zbl 0758.14020). These varieties may be understood as all of the possible finite sequences of blowing-ups of the classical variety of complete conics along the \(G\)-stable 3-subvarieties. The group action on \(N(\overline M)\) is defined by the action of \(G=GL(3)\) on the projective plane in which the point conics lie. We shall describe the intersection rings over \(\mathbb{Q}\) in terms of factor rings of polynomial rings.
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 21348
zbMATH Keywords: intersection rings
zbMATH Keywords: conic varieties
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 21348