Separators of fat points in P^n x P^m
Elena Guardo, Adam Van Tuyl
TL;DR
This paper introduces new concepts of separators and degrees for fat points in the product space P^n x P^m, and explores their fundamental properties.
Contribution
It defines and investigates the properties of separators and degrees of fat points in P^n x P^m, a novel extension in algebraic geometry.
Findings
Defined separators and degrees for fat points in P^n x P^m
Analyzed properties of these new concepts in the context of fat point schemes
Provided foundational results for future research in this area
Abstract
We introduce definitions for the separator of a fat point and the degree of a fat point for a fat point scheme Z in P^n x P^m, and we study some of their properties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Commutative Algebra and Its Applications