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Higher order duality and toric embeddings
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7186-1524
2014 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, E-ISSN 1777-5310, Vol. 64, no 1, 375-400 p.Article in journal (Refereed) Published
Abstract [en]

The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties of projective toric embeddings. We express the degree of the second dual variety of a 2-jet spanned embedding of a smooth toric threefold in geometric and combinatorial terms, and we classify those whose second dual variety has dimension less than expected. We also describe the tropicalization of all higher order dual varieties of an equivariantly embedded (not necessarily normal) toric variety.

Place, publisher, year, edition, pages
2014. Vol. 64, no 1, 375-400 p.
Keyword [en]
toric variety, higher order projective duality, tropicalization
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-160423ISI: 000348011200015Scopus ID: 2-s2.0-84918810032OAI: oai:DiVA.org:kth-160423DiVA: diva2:790062
Funder
Swedish Research Council, NT:2010-5563
Note

QC 20150223

Available from: 2015-02-23 Created: 2015-02-19 Last updated: 2017-12-04Bibliographically approved

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Di Rocco, Sandra

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