Rank-Two Reflexive Sheaves on the Projective Space with Second Chern Class Equal to Four

被引：0

作者：

Jardim, Marcos ^{[1
]}

Muniz, Alan ^{[1
,2
]}

机构：

[1] Univ Estadual Campinas UNICAMP, Dept Matemat, Inst Matemat Estat & Computacao Cient IMECC, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP, Brazil

[2] Univ Fed Pernambuco, Ctr Ciencias Exatas & Nat, Dept Matemat, BR-50740560 Recife, Pe, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2025年 / 56卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Reflexive sheaf; Moduli space; Serre correspondence; HILBERT SCHEMES; P3; BUNDLES; CURVES; C2;

D O I：

10.1007/s00574-025-00451-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study rank-two reflexive sheaves on P3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {P}<^>{3}}$$\end{document} with c2=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c_2 =4$$\end{document}, expanding on previous results for c2 <= 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c_2\le 3$$\end{document}. We show that every spectrum not previously ruled out is realized. Moreover, moduli spaces are studied and described in detail for c1=-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c_1=-1$$\end{document} or 0 and c3 >= 8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c_3\ge 8$$\end{document}.

引用

页数：53

共 31 条

[1]

[Anonymous], 1987, Clifford Algebra to Geometric Calculus

[2] RANK-2 STABLE VECTOR-BUNDLES ON P3 (C) WITH CHERN CLASSES C1=-1, C2=4 [J].