Positive neighborhoods of curves
M. Falla Luza, P. Sad
TL;DR
This paper investigates neighborhoods of curves with positive self-intersection on surfaces, focusing on those embeddable as germs of neighborhoods of curves on the projective plane.
Contribution
It characterizes the neighborhoods of such curves and explores their embedding properties in the projective plane context.
Findings
Identification of conditions for embeddability as germs
Characterization of neighborhoods with positive self-intersection
Insights into embedding properties in projective surfaces
Abstract
In this work we study neighborhoods of curves in surfaces with positive self-intersection that can be embeeded as a germ of neighborhood of a curve on the projective plane.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Numerical Analysis Techniques · Algebraic Geometry and Number Theory