Finding ein components in the moduli spaces of stable rank 2 bundles on the projective 3-space

被引：6

作者：

Kytmanov, A. A. ^{[1
]}

Osipov, N. N. ^{[1
]}

Tikhomirov, S. A. ^{[2
,3
]}

机构：

[1] Siberian Fed Univ, Krasnoyarsk, Russia

[2] Yaroslavl State Pedag Univ, Yaroslavl, Russia

[3] Northern Arctic Fed Univ, Koryazhma Branch, Koryazhma, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

stable bundle; Chern class; moduli space; INSTANTON VECTOR-BUNDLES; C(2);

D O I：

10.1134/S0037446616020142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some method is proposed for finding Ein components in moduli spaces of stable rank 2 vector bundles with first Chern class c (1) = 0 on the projective 3-space. We formulate and illustrate a conjecture on the growth rate of the number of Ein components in dependence on the numbers of the second Chern class. We present a method for calculating the spectra of the above bundles, a recurrent formula, and an explicit formula for computing the number of the spectra of these bundles.

引用

页码：322 / 329

页数：8

共 12 条

[1] IRREDUCIBILITY OF THE SPACE OF MATHEMATICAL INSTANTON BUNDLES WITH RANK 2 AND C2 = 4 [J].