Complete intersection varieties with ample cotangent bundles

TL;DR

This paper demonstrates that within any smooth projective variety, there exist numerous complete intersection subvarieties of various dimensions that possess ample cotangent bundles, highlighting a rich geometric structure.

Contribution

It establishes the existence of many complete intersection subvarieties with ample cotangent bundles inside any smooth projective variety, expanding understanding of their geometric properties.

Findings

Existence of complete intersection subvarieties with ample cotangent bundles

Such subvarieties exist in each dimension up to half the variety's dimension

Highlights the abundance of these subvarieties in smooth projective varieties

Abstract

Any smooth projective variety contains many complete intersection subvarieties with ample cotangent bundles, of each dimension up to half its own dimension.