Smoothness in Some Varieties with Dihedral Symmetry and the DFT Matrix

Santiago López de Medrano ()
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Santiago López de Medrano: Universidad Nacional Autónoma de México, Instituto de Matemáticas

A chapter in Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, 2018, pp 391-409 from Springer

Abstract: Abstract We study the smoothness question for some families of real and complex varieties with cyclic or dihedral symmetry. This question is related to deep properties of the Vandermonde matrix on the roots of unity, also known as the Discrete Fourier Transform matrix. We present some partial results on these questions.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-96827-8_16

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DOI: 10.1007/978-3-319-96827-8_16

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