A Note on the Discriminant Loci of a Hypersurface of Bi-degree (m, n)

Susumu Tanabé ()
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Susumu Tanabé: Moscow Institute of Physics and Technology (National Research University), Department of Discrete Mathematics

Chapter Chapter 17 in Essays on Topology, 2025, pp 365-387 from Springer

Abstract: Abstract We present a topological method for the study of the discriminant loci of an algebraic variety defined in a product of projective spaces. Our approach is distinguished by the efficient use of the notion of groupoid in the description of the monodromy. As an example, we deal here with the discriminant loci of a hypersurface of bi-degree (m, n).

Keywords: Discriminant loci; Braid monodromy; Groupoid; 20F36 (primary); 14D05, 32S40 (secondary) (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-81414-3_17

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DOI: 10.1007/978-3-031-81414-3_17

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