An example of a reducible Severi variety
Ilya Tyomkin
TL;DR
This paper constructs a positive-dimensional, reducible Severi variety on a toric surface, illustrating a specific geometric phenomenon in algebraic geometry.
Contribution
It introduces a new example of a reducible Severi variety on a toric surface, expanding understanding of Severi varieties' structure.
Findings
Existence of positive-dimensional, reducible Severi variety on a toric surface
Explicit construction of such Severi variety
Insights into the geometry of Severi varieties
Abstract
We construct a positive-dimensional, reducible Severi variety on a toric surface.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Algebraic Geometry and Number Theory