English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper is devoted to generalizing the Mehta-Ramanathan restrictiontheorem to the case of {\epsilon}-semistable and k-semistable decoratedsheaves. After recalling the definition of decorated sheaves and their usualsemistability we define the {\epsilon} and k-(semi)stablility. We first provethe existence of a (unique) {\epsilon}-maximal destabilizing subsheaf fordecorated sheaves (Section 3.1). After some others preliminar results (such asthe opennes condition for families of {\epsilon}-semistable decorated sheaves)we finally prove, in Section 3.7, a restriction theorem for slope{\epsilon}-semistable decorated sheaves. In Section 4 we reach the same resultsin the k-semistability case that we did in the {\epsilon}-semistability, butonly for decorated sheaves of rank less or equal than 3.

Metha-Ramanathan for {\epsilon} and k-semistable Decorated Sheaves