Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on ℙ²

2015/04/25 by Yuan Yao, Yuan, Yao
Mathematics · #14D #14J #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1504.06689

openalex publication_date 2015/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study Le Potier's strange duality conjecture on ℙ². We show the conjecture is true for the pair (W(2,0,2),~M(d,0)) with d>0, where W(2,0,2) is the moduli space of semistable sheaves of rank 2, zero first Chern class and second Chern class 2, and M(d,0) is the moduli space of 1-dimensional semistable sheaves of first Chern class dH and Euler characteristic 0.

Citations

• Generating functions for K-theoretic Donaldson invariants and Le Potier's strange duality

Related

• Strange duality on ℙ² via quiver representations
• Strange duality on rational surfaces
• Strange duality on rational surfaces II: higher rank cases
• Sections du fibre determinant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif
• Resultats sur la dualite etrange sur le plan projectif