Nathan Chen : Nowhere vanishing one-forms and fibrations over abelian varieties

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Oct. 13, 2023, 11 a.m.

In

636 SEO

Abstract

A result of Popa and Schnell shows that any holomorphic one-form on a smooth complex projective variety of general type vanishes somewhere. In this talk, we will explore a complementary question: given a variety of intermediate Kodaira dimension, what can we say about the geometry of the variety if it carries a set of g pointwise linearly independent holomorphic one-forms? Our main result is a classification of all such varieties if the Kodaira ``codimension" is equal to g. This is joint work with Ben Church and Feng Hao.