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Spring 2021 Discriminant amoebas and lopsidedness
Jens Forsgård
J. Commut. Algebra 13(1): 41-60 (Spring 2021). DOI: 10.1216/jca.2021.13.41

Abstract

We study amoebas of the principal A-determinant in relationship with the lopsidedness condition: the (co)amoeba of the principal A-determinant stratifies the space of lopsided (co)amoebas according to equivalence of order maps — a refinement of topological equivalence. We extend Nilsson and Passare’s description of the coamoeba of the A-discriminant to the case when A defines a projective toric curve. As an application, we compute coefficients of transition matrices necessary when gluing local monodromy groups of A-hypergeometric systems.

Citation

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Jens Forsgård. "Discriminant amoebas and lopsidedness." J. Commut. Algebra 13 (1) 41 - 60, Spring 2021. https://doi.org/10.1216/jca.2021.13.41

Information

Received: 23 September 2014; Revised: 31 January 2018; Accepted: 24 February 2018; Published: Spring 2021
First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/jca.2021.13.41

Subjects:
Primary: 55R80
Secondary: 14T10, 52B20

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.13 • No. 1 • Spring 2021
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