33 citations · 123 across the 25 of their papers we have counts for
28 papers
Motivic apsects of a remarkable class of Calabi-Yau threefolds
Gregory Pearlstein, Chris Peters
In this note we consider the motivic aspect of the middle cohomology of more than 200 classes of quasi-smooth Calabi--Yau threefolds inside weighted projective 4-space which come w…
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective space
Gregory Pearlstein, Chris Peters, Appendix C by Wim Nijgh
Surfaces of amplitude 1 in ordinary projective space are of general type, but this need not be the case in weighted projective spaces. Indeed, there are 4 classes of quasi-smooth w…
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…
Holomorphic Bisectional Curvature and Applications to Deformations and Rigidity for Variations of Mixed Hodge Structure
Gregory Pearlstein, Chris Peters
In this article, we prove a rigidity criterion for period maps of admissible variations of graded-polarizable mixed Hodge structure, and establish rigidity in a number of cases, in…
Height Pairing on Higher Cycles and Mixed Hodge Structures
J. I. Burgos Gil, S. Goswami, G. Pearlstein
For a smooth, projective complex variety, we introduce several mixed Hodge structures associated to higher algebraic cycles. Most notably, we introduce a mixed Hodge structure for…
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…