Journal
ADVANCES IN MATHEMATICS
Volume 377, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2020.107469
Keywords
Moduli spaces of semistable sheaves; Projective plan; Strange duality; Quiver representation
Categories
Funding
- NSFC [11771229]
Ask authors/readers for more resources
The study focuses on Le Potier's strange duality conjecture on P2, specifically looking at the strange duality map SDc,d. By utilizing tools in quiver representation theory, it is shown that SDc,d is an isomorphism when r = n or r = n - 1 or d <= 3, and in general SDc,d is injective for any n >= r > 0 and d > 0.
We study Le Potier's strange duality conjecture on P2. We focus on the strange duality map SDc,d which involves the moduli space of rank r sheaves with trivial first Chern class and second Chern class n, and the moduli space of 1-dimensional sheaves with determinant O-P2 (d) and Euler characteristic 0. By using tools in quiver representation theory, we show that SDc,d is an isomorphism for r = n or r = n - 1 or d <= 3, and in general SDc,dn is injective for any n >= r > 0 and d > 0. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available