Publication date:
1 October 2017
Source:Advances in Mathematics, Volume 318
Author(s): Yao Yuan
We study Le Potier's strange duality conjecture on ${\mathbb{P}}^2$. 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.