Xuqiang Qin

activity

20182024

most citedCompactification of the moduli space of instanton sheaves on the Fano threefold

V_{5}

7 citations · 20 across the 9 of their papers we have counts for

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9 papers · 1 filter

math.AG2024★ 1 cited

Birational geometry of Fano varieties of lines on cubic fourfolds containing pairs of cubic scrolls

Corey Brooke, Sarah Frei, Lisa Marquand +1

We characterize the birational geometry of some hyperkähler fourfolds of Picard rank $3$ obtained as the Fano varieties of lines on cubic fourfolds containing pairs of cubic scroll…

math.AG2022

Birational geometry of Beauville-Mukai systems III: asymptotic behavior

Xuqiang Qin, Justin Sawon

Suppose that a Hilbert scheme of points on a K3 surface S of Picard rank one admits a rational Lagrangian fibration. We show that if the degree of the surface is sufficiently large…

math.AG2022

Birational geometry of Beauville-Mukai systems II: general theory in low ranks

Xuqiang Qin, Justin Sawon

Via wall-crossing, we study the birational geometry of Beauville-Mukai systems on K3 surfaces with Picard rank one. We show that there is a class of walls which are always present…

math.AG2022

Birational geometry of Beauville-Mukai systems I: the rank three and genus two case

Xuqiang Qin, Justin Sawon

We study wall-crossing for the Beauville-Mukai system of rank three on a general genus two K3 surface. We show that such a system is related to the Hilbert scheme of ten points on…

math.AG2021★ 4 cited

Bridgeland stability of minimal instanton bundles on Fano threefolds

Xuqiang Qin

We prove that minimal instanton bundles on a Fano threefold $X$ of Picard rank one and index two are semistable objects in the Kuznetsov component $Ku (X)$ , with respect to…

math.AG2018★ 4 cited

Compactification of the moduli space of minimal instantons on the Fano threefold $V_{4}$

Xuqiang Qin

We study semi-stable sheaves of rank $2$ with Chern class $c_{1} = 0$ , $c_{2} = 2$ and $c_{3} = 0$ on the Fano 3-folds $V_{4}$ of Picard number $1$ , degree $4$ and index $2$ . We show the moduli…

math.AG2018★ 7 cited

Compactification of the moduli space of instanton sheaves on the Fano threefold $V_{5}$

Xuqiang Qin

We study semistable sheaves of rank $2$ with Chern classes $c_{1} = 0$ , $c_{2} = 2$ and $c_{3} = 0$ on the Fano 3-fold $V_{5}$ of Picard number $1$ , degree $5$ and index $2$ . We show that the mo…

math.AG2018★ 2 cited

Blow ups of $P^{n}$ as quiver moduli for exceptional collections

Xuqiang Qin

Suppose $P_{m}^{n}$ is the blow up of $P^{n}$ at a linear subspace of dimension $m$ , $L = {L_{1}, \dots, L_{r}}$ is a (not necessarily full) strong exceptional collection o…

math.AG2018★ 2 cited

Moduli of quiver representations for exceptional collections on surfaces

Xuqiang Qin, Shizhuo Zhang

Suppose $S$ is a smooth projective surface over an algebraically closed field $k$ , $L = {L_{1}, \dots, L_{n}}$ is a full strong exceptional collection of line bundles on $S$ .…

Birational geometry of Fano varieties of lines on cubic fourfolds containing pairs of cubic scrolls

Birational geometry of Beauville-Mukai systems III: asymptotic behavior

Birational geometry of Beauville-Mukai systems II: general theory in low ranks

Birational geometry of Beauville-Mukai systems I: the rank three and genus two case

Bridgeland stability of minimal instanton bundles on Fano threefolds

Compactification of the moduli space of minimal instantons on the Fano threefold V4​

Compactification of the moduli space of instanton sheaves on the Fano threefold V5​

Blow ups of Pn as quiver moduli for exceptional collections

Moduli of quiver representations for exceptional collections on surfaces

Compactification of the moduli space of minimal instantons on the Fano threefold $V_{4}$

Compactification of the moduli space of instanton sheaves on the Fano threefold $V_{5}$

Blow ups of $P^{n}$ as quiver moduli for exceptional collections