Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface
Kota Yoshioka
TL;DR
This paper investigates the structure and properties of moduli spaces of stable one-dimensional sheaves on elliptic ruled surfaces, aiming to deepen understanding of their geometric and algebraic features.
Contribution
It introduces new insights into the moduli spaces of 1-dimensional sheaves on elliptic ruled surfaces, expanding the theoretical framework in algebraic geometry.
Findings
Characterization of stability conditions for sheaves
Description of the moduli space structure
Connections to elliptic surface geometry
Abstract
We shall study moduli spaces of stable 1-dimensional sheaves on an elliptic ruled surface.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models