Sidon sets in algebraic geometry
Arthur Forey, Javier Fres\'an, Emmanuel Kowalski
TL;DR
This paper introduces new examples of Sidon sets in abelian groups derived from generalized Jacobians of curves, exploring their size and structural properties.
Contribution
It provides novel constructions of Sidon sets using algebraic geometry, specifically from generalized Jacobians, and analyzes their characteristics.
Findings
New examples of Sidon sets in abelian groups
Properties related to size and structure of these sets
Connections to algebraic geometry and generalized Jacobians
Abstract
We report new examples of Sidon sets in abelian groups arising from generalized jacobians of curves, and discuss some of their properties with respect to size and structure.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation