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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Showing 2015Show all

4 papers · 1 filter

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 $P^{2}$ .…

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

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