Blow-ups for the Horn-Kapranov parametrization of the classical discriminant
type: Item
instance of: scholarly article
title: Blow-ups for the Horn-Kapranov parametrization of the classical discriminant
zbMATH Open document ID: 1478.32040
DOI: 10.4171/ECR/18-1/19
author: Evgeny Mikhalkin
author: Vitaly Anatolievich Stepanenko
author: Avgust K. Tsikh
publication date: 2021-12-03T00:00:00Z
review text: Summary: The Horn-Kapranov parametrizations describe the singular sets of hypergeometric functions in several variables. These parametrizations are inverses of logarithmic Gauss maps for A-discriminants. In this paper we demonstrate that, despite the multivalued nature of the indicated parametrizations, their blow-ups properties are the same as for single-valued meromorphic mappings. As an application, a new proof of factorization identities for the classical discriminant is given. For the entire collection see [Zbl 1465.35005].
Mathematics Subject Classification ID: 32H04
Mathematics Subject Classification ID: 32C15
zbMATH DE Number: 7438901
zbMATH Keywords: meromorphic mappings
zbMATH Keywords: complex spaces
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/ecr/18-1/19
OpenAlex ID: W4253454366
description: scientific article; zbMATH DE number 7438901