36 citations · 193 across the 40 of their papers we have counts for
5 papers · 2 filters
Kodaira dimension and zeros of holomorphic one-forms
Mihnea Popa, Christian Schnell
We show that every holomorphic one-form on a smooth complex projective variety of general type must vanish at some point. The proof uses generic vanishing theory for Hodge D-module…
The zero locus of the infinitesimal invariant
Greg Pearlstein, Christian Schnell
Let ν be a normal function on a complex manifold X. The infinitesimal invariant of ν has a well-defined zero locus inside the tangent bundle TX. When X is quasi-projective, and ν i…
Torsion points on cohomology support loci: from D-modules to Simpson's theorem
Christian Schnell
We study cohomology support loci of regular holonomic D-modules on complex abelian varieties, and obtain conditions under which each irreducible component of such a locus contains…
Moduli of products of stable varieties
Bhargav Bhatt, Wei Ho, Zsolt Patakfalvi +1
We study the moduli space of a product of stable varieties over the field of complex numbers, as defined via the minimal model program. Our main results are: (a) taking products gi…
Generic vanishing theory via mixed Hodge modules
Mihnea Popa, Christian Schnell
We extend the dimension and strong linearity results of generic vanishing theory to bundles of holomorphic forms and rank one local systems, and more generally to certain coherent…