On the Resolution Graph of a Plane Curve
Joao Cabral, Orlando Neto, Pedro C. Silva
TL;DR
This paper demonstrates that the resolution graph of a plane curve singularity can be uniquely decomposed into simpler, elementary components, providing a structured understanding of the singularity resolution process.
Contribution
It introduces a canonical decomposition method for the resolution graph of plane curve singularities into elementary graphs, enhancing the structural analysis of singularities.
Findings
Resolution graph admits a canonical decomposition.
Decomposition into elementary graphs is unique.
Provides a new framework for analyzing singularities.
Abstract
We show that the resolution graph of a plane curve singularity admits a canonical decomposition into elementary graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation