Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
Boundary of the moduli space of instanton bundles on projective space
Vector bundles: from the instanton family to a new regularity
| Full text | |
| Author(s): |
Comaschi, Gaia
;
Jardim, Marcos
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MANUSCRIPTA MATHEMATICA; v. 175, n. 1-2, p. 51-pg., 2024-05-14. |
| Abstract | |
Generalizing the definitions originally presented by Kuznetsov and Faenzi, we study (possibly non locally free) instanton sheaves of arbitrary rank on Fano threefolds. We classify rank 1 instanton sheaves and describe all curves whose structure sheaves are rank 0 instanton sheaves. In addition, we show that every rank 2 instanton sheaf is an elementary transformation of a locally free instanton sheaf along a rank 0 instanton sheaf. To complete the paper, we describe the moduli space of rank 2 instanton sheaves of charge 2 on a quadric threefold X and show that the full moduli space of rank 2 semistable sheaves on X with Chern classes (c1,c2,c3)=(-1,2,0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(c_1,c_2,c_3)=(-\,1,2,0)$$\end{document} is connected and contains, besides the instanton component, just one other irreducible component which is also fully described. (AU) | |
| FAPESP's process: | 18/21391-1 - Gauge theory and algebraic geometry |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/21140-1 - Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles |
| Grantee: | Gaia Comaschi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |