Note sur le lieu discriminant d'une hypersurface de bi-degr\'e $(m, n).$

Susumu Tanabé

Note sur le lieu discriminant d'une hypersurface de bi-degr\'e $(m, n).$

Algebraic Geometry 2024-10-03 v1 Geometric Topology

Authors: Susumu Tanabé

Abstract

We present a new topological method to study the discriminantal loci of an algebraic variety defined in a product of projective spaces. Our approach relies on an efficient use of groupoid to describe the monodromy. As an example, we treat here the discriminantal loci of an hypersurface of bi-degree $(m, n).$

Keywords

discriminantal loci algebraic variety projective spaces monodromy hypersurface of bi-degree

Cite

@article{arxiv.2409.16479,
  title  = {Note sur le lieu discriminant d'une hypersurface de bi-degr\'e $(m, n).$},
  author = {Susumu Tanabé},
  journal= {arXiv preprint arXiv:2409.16479},
  year   = {2024}
}

Comments

"Essays on Geometry" - collection of articles dedicated to the 90th birthday of Valentin Po\'enaru, in French language

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