On the Number of Components of a Complete Intersection of Real Quadrics

被引：5

作者：

Degtyarev, Alex ^{[1
]}

Itenberg, Ilia ^{[2
,4
]}

Kharlamov, Viatcheslav ^{[3
]}

机构：

[1] Bilkent Univ, TR-06800 Ankara, Turkey

[2] Univ Pierre Marie Curie, Inst Matemat Jussieu, F-75005 Paris, France

[3] Univ Strasbourg, IRMA, F-67084 Strasbourg, France

[4] Inst Univ France, F-75005 Paris, France

来源：

PERSPECTIVES IN ANALYSIS, GEOMETRY, AND TOPOLOGY: ON THE OCCASION OF THE 60TH BIRTHDAY OF OLEG VIRO | 2012年 / 296卷

关键词：

Betti number; Quadric; Complete intersection; Theta characteristic; CURVES;

D O I：

10.1007/978-0-8176-8277-4_5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our main results concern complete intersections of three real quadrics. We prove that the maximal number B-2(0)(N) of connected components that a regular complete intersection of three real quadrics in P-N may have differs at most by one from the maximal number of ovals of the submaximal depth [(N - 1)/2] of a real plane projective curve of degree d = N + 1. As a consequence, we obtain a lower bound 1/4N(2) + O(N) and an upper bound 3/8N(2) + O(N) for B-2(0)(N).

引用

页码：81 / +

页数：3

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