On Computational Aspects of the Fourier-Mukai Transform

TL;DR

This paper explores the computational challenges and methods related to the Fourier-Mukai transform, a fundamental tool in algebraic geometry, providing insights into its practical implementation.

Contribution

It offers a survey and analysis of computational techniques for the Fourier-Mukai transform, highlighting new approaches and open problems.

Findings

Identified key computational bottlenecks

Proposed algorithms for efficient computation

Outlined future research directions

Abstract

We survey and investigate some computational aspects of the Fourier-Mukai transform.