The fundamental group is not a derived invariant

TL;DR

This paper demonstrates that the fundamental group of a smooth projective variety can change under derived equivalence, challenging previous assumptions about its invariance.

Contribution

It proves that the fundamental group is not a derived invariant for smooth projective varieties, providing new insights into their classification.

Findings

Fundamental group varies under derived equivalence

Counterexample to invariance of fundamental group

Implications for algebraic geometry classification

Abstract

We show that the fundamental group is not invariant under derived equivalence of smooth projective varieties.