Change search
ReferencesLink to record
Permanent link

Direct link
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
URN: urn:nbn:se:kth:diva-160423ISI: 000348011200015ScopusID: 2-s2.0-84918810032OAI: diva2:790062
Swedish Research Council, NT:2010-5563

QC 20150223

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

Open Access in DiVA

No full text


Search in DiVA

By author/editor
Di Rocco, Sandra
By organisation
Mathematics (Div.)
In the same journal
Annales de l'Institut Fourier

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 18 hits
ReferencesLink to record
Permanent link

Direct link