Positive neighborhoods of rational curves
M. Falla Luza, P. Sad
TL;DR
This paper investigates neighborhoods of rational curves with self-intersection number 1 on surfaces, focusing on conditions under which these neighborhoods can be linearized, contributing to the understanding of their local geometry.
Contribution
It introduces criteria for linearizability of neighborhoods of rational curves with self-intersection 1 on surfaces, advancing the classification of such local structures.
Findings
Identification of conditions for linearization
Characterization of neighborhoods of rational curves
Extension of existing classification results
Abstract
We study neighborhoods of rational curves in surfaces with self-intersection number 1 that can be linearised.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Commutative Algebra and Its Applications