Existence of a line without real points in quadric intersection
Algebraic Geometry
2012-05-01 v1
Abstract
The topology of the intersection of three quadrics in Euclidean 6-space is studied using Kollar results. This needs an existence of a line without real points in the complex projectivisation of quadrics. We establish the existence of such a line under some assumptions. It is a step to obtain a list of all possible homeomorfism types of manifolds under consideration.
Keywords
Cite
@article{arxiv.1204.6606,
title = {Existence of a line without real points in quadric intersection},
author = {I. Shnurnikov},
journal= {arXiv preprint arXiv:1204.6606},
year = {2012}
}
Comments
5 pages, in russian