Ulrich Bundles on Elliptic Curves and Theta Functions
Alexander Pavlov

TL;DR
This paper explicitly constructs Ulrich bundles on elliptic curves embedded as Hesse cubics using Moore matrices and theta functions, providing concrete algebraic descriptions.
Contribution
It introduces a novel explicit method to present Ulrich bundles on elliptic curves via Moore matrices and theta functions, enhancing understanding of their structure.
Findings
Explicit presentation of Ulrich bundles on elliptic curves.
Connection between Moore matrices, theta functions, and Ulrich bundles.
Enhanced algebraic understanding of Ulrich bundles on elliptic curves.
Abstract
Let be a smooth elliptic curve over . For embedded into as Hesse cubic and an Ulrich bundle on we derive a explicit presentation of using Moore matrices and theta functions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Algebra and Geometry
