Yao Yuan

activity

20232026

collaborators

3 papers

math.AG2026

Lefschetz filtration and Perverse filtration on the compactified Jacobian

Yao Yuan

Let $C$ be a complex integral curve with plannar singularities. Let $J$ be the compactified Jacobian of $C$ . There are two filtrations on the cohomology group $H^{*} (J)$ . One is obta…

math.AG2024

Higher direct images of the structure sheaf via the Hilbert-Chow morphism

Yao Yuan

Let $X$ be a projective smooth surface over $C$ with $H^{2} (O_{X}) = 0$ . Let $M = M (L, χ)$ be the moduli space of 1-dimensional semistable sheaves with determinant $\math…

math.AG2023

On the perverse filtration of the moduli spaces of 1-dimensional sheaves on $P^{2}$ and P=C conjecture

Yao Yuan

Let $M (d, χ)$ be the moduli space of semistable 1-dimensional sheaves supported at curves of degree $d$ on $P^{2}$ , with Euler characteristic $χ$ . We have the Hilbert-Chow mo…

Lefschetz filtration and Perverse filtration on the compactified Jacobian

Higher direct images of the structure sheaf via the Hilbert-Chow morphism

On the perverse filtration of the moduli spaces of 1-dimensional sheaves on P2 and P=C conjecture

On the perverse filtration of the moduli spaces of 1-dimensional sheaves on $P^{2}$ and P=C conjecture