Yao Yuan

activity

20102022

most citedGenerating functions for K-theoretic Donaldson invariants and Le Potier's strange duality

8 citations · 9 across the 10 of their papers we have counts for

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14 papers · 1 filter

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.AG2022

Some Betti numbers of the moduli of 1-dimensional sheaves on $P^{2}$

Yao Yuan

Let $M (d, χ)$ with $(d, χ) = 1$ be the moduli space of semistable sheaves on $P^{2}$ supported on curves of degree $d$ and with Euler characteristic $χ$ . The cohomology ring $H^…

math.AG2021

Sheaves on non-reduced curves in a projective surface

Yao Yuan

Sheaves on non-reduced curves can appear in moduli space of 1-dimensional semistable sheaves over a surface, and moduli space of Higgs bundles as well. We estimate the dimension of…

math.AG2018★ 1 cited

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★ 8 cited

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

Lothar Göttsche, Yao Yuan

K-theoretic Donaldson invariants are holomorphic Euler characteristics of determinant line bundles on moduli spaces of sheaves on surfaces. We compute generating functions of K-the…

math.AG2015

Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces

Yao Yuan

We study the moduli space of rank 0 semistable sheaves on some rational surfaces. We show the irreducibility and stable rationality of them under some conditions. We also compute s…

math.AG2015

Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on $P^{2}$

Yao Yuan

We study Le Potier's strange duality conjecture on $P^{2}$ . 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…

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 $P^{2}$ .…

math.AG2013

Affine pavings for moduli spaces of pure sheaves on $P^{2}$ with degree $\leq 5$

Yao Yuan

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

math.AG2012

Moduli spaces of semistable sheaves of dimension 1 on $P^{2}$

Yao Yuan

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

math.AG2010

Estimates of sections of determinant line bundles on Moduli spaces of pure sheaves on algebraic surfaces

Yao Yuan

Let $X$ be any smooth simply connected projective surface. We consider some moduli space of pure sheaves of dimension one on $X$ , i.e. $\mhu$ with $u = (0, L, χ (u) = 0)$ and $L$ an effec…

math.AG2010

Determinant line bundles on Moduli spaces of pure sheaves on rational surfaces and Strange Duality

Yao Yuan

Let $\mhu$ be the moduli space of semi-stable pure sheaves of class $u$ on a smooth complex projective surface $X$ . We specify $u = (0, L, χ (u) = 0),$ i.e. sheaves in $u$ are of dimensio…

Rank zero Segre integrals on Hilbert schemes of points on surfaces

Some Betti numbers of the moduli of 1-dimensional sheaves on P2

Sheaves on non-reduced curves in a projective surface

Strange duality on P2 via quiver representations

Strange duality on rational surfaces II: higher rank cases

Strange duality on rational surfaces

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

Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces

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

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

Affine pavings for moduli spaces of pure sheaves on P2 with degree ≤5

Moduli spaces of semistable sheaves of dimension 1 on P2

Estimates of sections of determinant line bundles on Moduli spaces of pure sheaves on algebraic surfaces

Determinant line bundles on Moduli spaces of pure sheaves on rational surfaces and Strange Duality

Some Betti numbers of the moduli of 1-dimensional sheaves on $P^{2}$

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

Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on $P^{2}$

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

Affine pavings for moduli spaces of pure sheaves on $P^{2}$ with degree $\leq 5$

Moduli spaces of semistable sheaves of dimension 1 on $P^{2}$