Derived autoequivalences of generalised Kummer varieties

TL;DR

This paper constructs new derived autoequivalences for generalized Kummer varieties, expanding the known symmetries of these complex geometric objects.

Contribution

It introduces novel derived autoequivalences for generalized Kummer varieties, complementing existing symmetries like Huybrechts-Thomas twists.

Findings

New autoequivalences constructed for generalized Kummer varieties

These autoequivalences are among the only known symmetries of their kind

Enhances understanding of the symmetry structure in complex algebraic geometry

Abstract

In this article, we construct new derived autoequivalences of generalised Kummer varieties. Together with Huybrechts-Thomas twists around $\mathbb{P}^n$-objects, these are the only known examples of such symmetries.