Mapping toric varieties into low dimensional spaces

Dufresne, Emilie and Jeffries, Jack (2016) Mapping toric varieties into low dimensional spaces. Transactions of the American Mathematical Society . ISSN 1088-6850 (In Press)

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A smooth d-dimensional projective variety X can always be embedded into 2d + 1-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our requirement and ask only that the map is injective, then any d-dimensional projective variety can be mapped injectively to 2d + 1-dimensional projective space. A natural question then arises: what is the minimal m such that a projective variety can be mapped injectively to m-dimensional projective space? In this paper we investigate this question for normal toric varieties, with our most complete results being for Segre-Veronese varieties.

Item Type: Article
Keywords: Segre-Veronese varieties; Dimension of secant variety; Torus invariants; Separating invariants; Local cohomology
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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Depositing User: Dufresne, Emilie
Date Deposited: 24 May 2018 08:12
Last Modified: 04 May 2020 18:00

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