Singularity Properties of Graph Varieties

Guy Kapon

Singularity Properties of Graph Varieties

Algebraic Geometry 2019-05-16 v1

Authors: Guy Kapon

Abstract

For a graph $G=(V,E)$ , and a symplectic vector space $(W, \left<\cdot,\cdot\right>)$ , we define a variety $X(G,W)$ consisting of all functions $w:V\to W$ satisfying $\left<w(u), w(v)\right> = 0$ for any edge $\{u,v\}$ in $G$ . We study the singularities of this varieties.

Keywords

graph theory singularity theory spectral graph theory

Cite

@article{arxiv.1905.05847,
  title  = {Singularity Properties of Graph Varieties},
  author = {Guy Kapon},
  journal= {arXiv preprint arXiv:1905.05847},
  year   = {2019}
}

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