Yao Yuan

activity

20152022

collaborators

5 papers

math.AG2022

Rank zero Segre integrals on Hilbert schemes of points on surfaces

Yao Yuan

We prove the conjecture of Marian-Oprea-Pandharipande on the Segre series associated to a rank zero class. Hence the rank zero Segre integrals on the Hilbert schemes of points for…

math.AG2018

Strange duality on $P^{2}$ via quiver representations

Yao Yuan

We study Le Potier's strange duality conjecture on $P^{2}$ . We focus on the strange duality map $S D_{c_{n}^{r}, d}$ which involves the moduli space of rank $r$ sheaves with trivi…

math.AG2017

Strange duality on rational surfaces II: higher rank cases

Yao Yuan

We study Le Potier's strange duality conjecture on a rational surface. We focus on the strange duality map $S D_{c_{n}^{r}, L}$ which involves the moduli space of rank $r$ sheaves with t…

math.AG2016

Strange duality on rational surfaces

Yao Yuan

We study Le Potier's strange duality conjecture on a rational surface. We focus on the case involving the moduli space of rank 2 sheaves with trivial first Chern class and second C…

math.AG2015

Motivic measures of the moduli spaces of pure sheaves on $P^{2}$ with all degrees

Yao Yuan

Let $M (d, χ)$ be the moduli stack of stable sheaves of rank 0, Euler characteristic $χ$ and first Chern class $d H (d > 0)$ , with $H$ the hyperplane class in $P^{2}$ .…

Rank zero Segre integrals on Hilbert schemes of points on surfaces

Strange duality on P2 via quiver representations

Strange duality on rational surfaces II: higher rank cases

Strange duality on rational surfaces

Motivic measures of the moduli spaces of pure sheaves on P2 with all degrees

Strange duality on $P^{2}$ via quiver representations

Motivic measures of the moduli spaces of pure sheaves on $P^{2}$ with all degrees