Mapping toric varieties into low dimensional spaces

Tools

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

This is the latest version of this item.

Full text not available from this repository.

Abstract

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

RIS ID:

https://nottingham-repository.worktribe.com/output/800329

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

Identification Number:

https://doi.org/10.1090/tran/7026

Related URLs: