YE Liu

activity

20162026

most cited

G

-Tutte polynomials and abelian Lie group arrangements

14 citations · 14 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.AG2023

Cones of effective cycles on blow ups of projective spaces along rational curves

Benjamin Gould, Yeqin Liu

In this paper we examine the cones of effective cycles on blow ups of projective spaces along smooth rational curves. We determine explicitly the cones of divisors and 1- and 2-dim…

math.AG2023

Nonexistence of exceptional bundles on $P^{3}$ with maximal possible ranks

Yeqin Liu

We prove that on $P^{3}$ there is no exceptional bundle with rank $r = 2 d^{2} + 1$ and degree $d$ for every $∣ d ∣ \geq 4$ . In particular, we find a new obstruction for the exist…

math.AG2022

The cohomology of spherical vector bundles on K3 surfaces

Yeqin Liu

We find an algorithm to compute the cohomology groups of spherical vector bundles on complex projective K3 surfaces, in terms of their Mukai vectors. In many good cases, we give si…

math.AG2022

Higher rank Brill-Noether theory on P^2

Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung

Let $M_{P^{2}} (v)$ be a moduli space of semistable sheaves on $P^{2}$ , and let $B^{k} (v) \subseteq M_{P^{2}} (v)$ be the \textit{Brill-Noether locus} of sheaves $…

Cones of effective cycles on blow ups of projective spaces along rational curves

Nonexistence of exceptional bundles on P3 with maximal possible ranks

The cohomology of spherical vector bundles on K3 surfaces

Higher rank Brill-Noether theory on P^2

Nonexistence of exceptional bundles on $P^{3}$ with maximal possible ranks