14 citations · 26 across the 8 of their papers we have counts for
10 papers
Extensions and Segre stratifications over algebraic surfaces
Thomas Goller, Yinbang Lin
We study two closely related topics over algebraic surfaces: stability of extensions of stable sheaves by stable sheaves, and maximal subsheaves of a given stable sheaf. For the fo…
Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
Chunyi Li, Yinbang Lin, Laura Pertusi +1
We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of…
Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions
Yinbang Lin, Sz-Sheng Wang
Given a (projective) conifold transition of smooth projective threefolds from to , we show that if the Gromov--Witten/Pandharipande--Thomas descendent correspondence holds f…
Riemannian foliations and quasifolds
Yi Lin, David Miyamoto
It is well known that, by the Reeb stability theorem, the leaf space of a Riemannian foliation with compact leaves is an orbifold. We prove that, under mild completeness conditions…
Shatz strata in algebraic versal deformation spaces
Yinbang Lin
Over a smooth complex projective curve, we study an algebraic versal deformation space with fixed determinant of a coherent sheaf. The algebraic versal deformation space decomposes…
Gaeta resolutions and strange duality over rational surfaces
Thomas Goller, Yinbang Lin
Over the projective plane and at most two-step blowups of Hirzebruch surfaces, where there are strong full exceptional sequences of line bundles, we obtain foundational results abo…
Decorated sheaves and morphisms in tilted hearts
Yinbang Lin, Sz-Sheng Wang, Bingyu Xia
We identify limit stable pairs and stable framed sheaves as epimorphisms and monomorphisms, respectively, in tilts of the standard heart, under suitable conditions. We then identif…
Rank-one sheaves and stable pairs on surfaces
Thomas Goller, Yinbang Lin
We study rank-one sheaves and stable pairs on a smooth projective complex surface. We obtain an embedding of the moduli space of limit stable pairs into a smooth space. The embeddi…
Moduli spaces of stable pairs
Yinbang Lin
We construct a moduli space of stable pairs over a smooth projective variety, parametrizing morphisms from a fixed coherent sheaf to a varying sheaf of fixed topological type, subj…
Nef cones of Hilbert schemes of points on surfaces
Barbara Bolognese, Jack Huizenga, Yinbang Lin +4
Let X be a smooth projective surface of irregularity 0. The Hilbert scheme of n points on X parameterizes zero-dimensional subschemes of X of length n. In this paper, we discuss ge…