Sailun Zhan

collaborators

3 papers

math.AG2022

Punctual Hilbert schemes of points of $A^{3}$ in the Grothendieck group of varieties

Sailun Zhan

We give an explicit stratification of the punctual Hilbert schemes of $n$ points of $A^{m + 1}$ with respect to $m$ -dimensional partitions in the Grothendieck group of varie…

math.AG2022

Hilbert schemes of points on smooth projective surfaces and generalized Kummer varieties with finite group actions

Sailun Zhan

Göttsche and Soergel gave formulas for the Hodge numbers of Hilbert schemes of points on a smooth algebraic surface and the Hodge numbers of generalized Kummer varieties. When a sm…

math.AG2020

Shimura Varieties, Kummer Varieties, and Rational Curves

Bo-Hae Im, Michael Larsen, Sailun Zhan

For a very general product $A$ of seven or more elliptic curves, every rational curve on the Kummer variety of $A$ projects trivially onto the Kummer variety of at least one of its…

Punctual Hilbert schemes of points of A3 in the Grothendieck group of varieties

Hilbert schemes of points on smooth projective surfaces and generalized Kummer varieties with finite group actions

Shimura Varieties, Kummer Varieties, and Rational Curves

Punctual Hilbert schemes of points of $A^{3}$ in the Grothendieck group of varieties