Higher order duality and toric embeddings

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 varie...

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Autores principales: Dickenstein, A., Di Rocco, S., Piene, R.
Formato: JOUR
Materias:
Higher order projective duality
Toric variety
Tropicalization
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03730956_v64_n1_p375_Dickenstein
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03730956_v64_n1_p375_Dickenstein
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spelling todo:paper_03730956_v64_n1_p375_Dickenstein2023-10-03T15:30:13Z Higher order duality and toric embeddings Dickenstein, A. Di Rocco, S. Piene, R. Higher order projective duality Toric variety Tropicalization 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. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03730956_v64_n1_p375_Dickenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Higher order projective duality
Toric variety
Tropicalization
spellingShingle Higher order projective duality
Toric variety
Tropicalization
Dickenstein, A.
Di Rocco, S.
Piene, R.
Higher order duality and toric embeddings
topic_facet Higher order projective duality
Toric variety
Tropicalization
description 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.
format JOUR
author Dickenstein, A.
Di Rocco, S.
Piene, R.
author_facet Dickenstein, A.
Di Rocco, S.
Piene, R.
author_sort Dickenstein, A.
title Higher order duality and toric embeddings
title_short Higher order duality and toric embeddings
title_full Higher order duality and toric embeddings
title_fullStr Higher order duality and toric embeddings
title_full_unstemmed Higher order duality and toric embeddings
title_sort higher order duality and toric embeddings
url http://hdl.handle.net/20.500.12110/paper_03730956_v64_n1_p375_Dickenstein
work_keys_str_mv AT dickensteina higherorderdualityandtoricembeddings
AT diroccos higherorderdualityandtoricembeddings
AT piener higherorderdualityandtoricembeddings
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