4 papers
Monodromy rank and the semisimple Mumford-Tate conjecture for hyper-Kähler varieties
Zhichao Tang, Haitao Zou
We study the Mumford-Tate conjecture for hyper-Kähler varieties. We identify the Mumford-Tate group with a Levi factor of the connected total -adic monodromy group. It follow…
Arithmetic monodromy of hyper-Kähler varieties over -adic fields
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa +2
In this paper, we study the -adic and -adic monodromy operators associated with hyper-Kähler varieties over -adic fields, in connection with Looijenga-Lunts-Verbitsky L…
Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture
Lie Fu, Zhiyuan Li, Teppei Takamatsu +1
We investigate in this paper the so-called pointed Shafarevich problem for families of primitive symplectic varieties. More precisely, for any fixed pointed curve and any…
Supersingular O'Grady varieties of dimension six
Lie Fu, Zhiyuan Li, Haitao Zou
O'Grady constructed a 6-dimensional irreducible holomorphic symplectic variety by taking a crepant resolution of some moduli space of stable sheaves on an abelian surface. In this…