A few remarks concerning the geometry of the moduli spaces of semistable sheaves supported on plane curves of multiplicity four

TL;DR

This paper discusses the geometric properties of moduli spaces of semistable sheaves on plane curves with multiplicity four, focusing on their structure and classification.

Contribution

The paper provides new insights into the geometry of moduli spaces of semistable sheaves supported on specific plane curves, correcting previous errors and expanding the analysis.

Findings

Clarified the structure of moduli spaces for multiplicity four curves

Corrected previous proof errors and expanded theoretical framework

Enhanced understanding of sheaf support on plane curves

Abstract

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327