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Seminario de Álgebra Conmutativa, Geometría Algebraica y Geometría Aritmética
Seminario de Álgebra Conmutativa, Geometría Algebraica y Geometría Aritmética
Viernes 28 de octubre de 2022 a las 12:00 en el aula 520 del módulo 17 (Departamento de Matemáticas UAM)
Alex Hof (University of Wisconsin-Madison)
Title: Smooth Fibers, Critical Points, and Flatness
Abstract: Given a family of homogeneous polynomials depending holomorphically on some parameters, we can ask when the fibers away from the origin remain consistent as we vary the parameters. We give a sufficient condition for this to occur - namely, the flatness of the polynomials' critical loci over the parameter space - by way of the Milnor fibration.