A geometric degree formula for $A$-discriminants and Euler obstructions of toric varieties

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dc.creatorMatsui, Yutaka
dc.creatorTakeuchi, Kiyoshi
dc.date2008-07-20
dc.date2008-12-14
dc.date.accessioned2026-07-07T12:12:12Z
dc.date.available2026-07-07T12:12:12Z
dc.descriptionWe give explicit formulas for the dimensions and the degrees of $A$-discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky. Our formulas can be applied also to the case where the $A$-discriminant varieties are higher-codimensional and their degrees are described by the geometry of the configurations $A$. Moreover combinatorial formulas for the Euler obstructions of general (not necessarily normal) toric varieties will be also given.
dc.description25 pages, Chapter 4 of the previous version was separated and became a part of a new paper submitted to the arxiv, revised
dc.identifierhttps://arxiv.org/abs/0807.3163
dc.identifierhttp://arxiv.org/abs/0807.3163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210467
dc.subjectAlgebraic Geometry
dc.subject14M25, 14N05, 32S60, 33C70, 35A27
dc.titleA geometric degree formula for $A$-discriminants and Euler obstructions of toric varieties
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