27 citations · 72 across the 18 of their papers we have counts for
4 papers · 1 filter
On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
Salvatore Floccari, Lie Fu, Ziyu Zhang
We investigate how the motive of hyper-Kähler varieties is controlled by weight-2 (or surface-like) motives via tensor operations. In the first part, we study the Voevodsky motive…
Relative VGIT and an application to degenerations of Hilbert schemes
Lars H. Halle, Klaus Hulek, Ziyu Zhang
We generalize the classical semi-continuity theorem for GIT (semi)stable loci under variations of linearizations to a relative situation of an equivariant projective morphism from…
Examples of smooth components of moduli spaces of stable sheaves
Fabian Reede, Ziyu Zhang
Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complet…
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Evgeny Shinder, Ziyu Zhang
We construct nontrivial L-equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples o…