A note on the Verlinde bundles on elliptic curves
Dragos Oprea
TL;DR
This paper investigates the splitting behavior of Verlinde bundles on elliptic curves, utilizing explicit moduli space descriptions and symmetric powers of the Schrödinger representation to gain new insights.
Contribution
It provides a novel analysis of Verlinde bundles on elliptic curves through explicit moduli space descriptions and representation theory techniques.
Findings
Characterization of splitting properties of Verlinde bundles
Application of Schrödinger representation analysis
Enhanced understanding of vector bundle moduli on elliptic curves
Abstract
We study the splitting properties of the Verlinde bundles over elliptic curves. Our methods rely on the explicit description of the moduli space of semistable vector bundles on elliptic curves, and on the analysis of the symmetric powers of the Schrodinger representation of the Theta group.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds