The projective analytic spectrum of the double of a module

Thiago da Silva; Terence Gaffney

doi:10.14244/lajm.v5i1.96

Authors

Thiago da Silva Universidade Federal do Espírito Santo https://orcid.org/0000-0002-3152-0987
Terence Gaffney Northeastern University

DOI:

https://doi.org/10.14244/lajm.v5i1.96

Keywords:

Double of a module, Analytic projectivized spectrum, Bi-Lipschitz equisingularity

Abstract

In this work, we investigate the projectivized analytic spectrum of the double of a module. We prove that, away from the diagonal, each fiber is canonically isomorphic to the join of the corresponding fibers of the projectivized analytic spectrum of the original module. We then analyze the exceptional fiber over the origin in $C\times C$, where $C$ is an irreducible curve contained in a hypersurface, and obtain a complete description of this fiber in the case of irreducible plane curves.

Author Biographies

Thiago da Silva, Universidade Federal do Espírito Santo

Thiago da Silva is an associate professor at Federal University of Espirito Santo.

Terence Gaffney, Northeastern University

Terence Gaffney is an emeritus professor at Northeastern University.

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