Activities per year
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.
Original language | English |
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Journal | Transactions of the AMS |
DOIs | |
Publication status | Accepted/In press - 19 Jul 2016 |
Bibliographical note
This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.Keywords
- math.AC
- math.AG
- 13A50, 13D45, 14M25
Profiles
Activities
- 2 Conference
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Workshop on Groups, Generalisations and Applications, 8th meeting
Dufresne, E. S. (Invited speaker)
9 May 2019Activity: Participating in or organising an event › Conference
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ARTIN-54
Dufresne, E. S. (Invited speaker)
14 Sept 2018Activity: Participating in or organising an event › Conference