Local moduli of holomorphic bundles

TL;DR

This paper investigates the local properties of holomorphic vector bundles on non-compact varieties, focusing on their moduli, filtrability, algebraicity, and numerical invariants, especially on local Calabi-Yau threefolds.

Contribution

It provides new insights into the local moduli spaces of holomorphic bundles, including dimension calculations and invariants on specific non-compact Calabi-Yau threefolds.

Findings

Calculated dimensions of local moduli spaces.

Analyzed filtrability and algebraicity of bundles.

Described numerical invariants for bundles on local Calabi-Yau threefolds.

Abstract

We study moduli of holomorphic vector bundles on non-compact varieties. We discuss filtrability and algebraicity of bundles and calculate dimensions of local moduli. As particularly interesting examples, we describe numerical invariants of bundles on some local Calabi-Yau threefolds.