A note on stable sheaves on Enriques surfaces II
Kota Yoshioka
TL;DR
This paper investigates the precise conditions under which stable sheaves exist on Enriques surfaces, providing a comprehensive criterion applicable to all such surfaces.
Contribution
It establishes a necessary and sufficient condition for the existence of stable sheaves on arbitrary Enriques surfaces, advancing the understanding of their moduli.
Findings
Derived a complete criterion for stable sheaves on Enriques surfaces
Extended previous results to all Enriques surfaces
Clarified the structure of stable sheaves on these surfaces
Abstract
We shall study a necessary and sufficient condition for the existence of stable sheaves on arbitrary Enriques surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications