30 citations · 52 across the 13 of their papers we have counts for
7 papers · 1 filter
The moduli space of cubic threefolds with a non-Eckardt type involution via intermediate Jacobians
Sebastian Casalaina-Martin, Lisa Marquand, Zheng Zhang
There are two types of involutions on a cubic threefold: the Eckardt type (which has been studied by the first named and the third named authors) and the non-Eckardt type. Here we…
Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces
Patricio Gallardo, Gregory Pearlstein, Luca Schaffler +1
Smooth minimal surfaces of general type with , , and constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli spac…
The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds
Sebastian Casalaina-Martin, Zheng Zhang
We study the moduli space of pairs consisting of a smooth cubic surface and a smooth hyperplane section, via a Hodge theoretic period map due to Laza, Pearlstein, and the second na…
On the moduli space of pairs consisting of a cubic threefold and a hyperplane
Radu Laza, Gregory Pearlstein, Zheng Zhang
We study the moduli space of pairs consisting of a cubic threefold and a hyperplane in . The interest in this moduli comes from two sources: the study…
Compactifications of the moduli space of plane quartics and two lines
Patricio Gallardo, Jesus Martinez-Garcia, Zheng Zhang
We study the moduli space of triples consisting of quartic curves and lines and . Specifically, we construct and compactify the moduli space in two w…
A generic global Torelli theorem for certain Horikawa surfaces
Gregory Pearlstein, Zheng Zhang
Algebraic surfaces of general type with , and were described by Enriques and then studied in more detail by Horikawa. In this paper we consider a -dimensio…
A realization for a -Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication
Zheng Zhang
We show that the -descents of the canonical -variation of Hodge structure of Calabi-Yau type over a tube domain of type can be realized as sub-variation…