14 citations · 14 across the 8 of their papers we have counts for
9 papers
Orlik--Solomon sheaf homology of geometric lattices
Ye Liu
We associate the Orlik--Solomon sheaf with a finite geometric lattice and compute its sheaf homology. We show that this homology concentrates in top degree, admitting a convolution…
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…
Nonexistence of exceptional bundles on with maximal possible ranks
Yeqin Liu
We prove that on there is no exceptional bundle with rank and degree for every . In particular, we find a new obstruction for the exist…
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…
Higher rank Brill-Noether theory on P^2
Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung
Let be a moduli space of semistable sheaves on , and let be the \textit{Brill-Noether locus} of sheaves $…
Topology of the icosidodecahedral arrangement
Ye Liu
The icosidodecahedral arrangement is introduced by M. Yoshinaga (arXiv:1902.06256) as the first known example that is a hyperplane arrangement whose Milnor fiber has torsions in fi…
Holonomy Lie algebra of a geometric lattice
Weili Guo, Ye Liu
Motivated by Kohno's result on the holonomy Lie algebra of a hyperplane arrangement, we define the holonomy Lie algebra of a finite geometric lattice in a combinatorial way. For a…
-Tutte polynomials and abelian Lie group arrangements
Ye Liu, Tan Nhat Tran, Masahiko Yoshinaga
We introduce and study the notion of the -Tutte polynomial for a list of elements in a finitely generated abelian group and an abelian group , which is defi…
On chromatic functors and stable partitions of graphs
Ye Liu
The chromatic functor of a simple graph is a functorization of the chromatic polynomial. M. Yoshinaga showed in \cite{Yoshinaga2015} that two finite graphs have isomorphic chromati…