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Abstract:

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.

Registro:

Documento: Artículo
Título:Higher order duality and toric embeddings
Autor:Dickenstein, A.; Di Rocco, S.; Piene, R.
Filiación:Department of Mathematics, FCEN Universidad de Buenos Aires and IMAS-CONICET, Ciudad Universitaria -Pab. i, Buenos Aires, C1428EGA, Argentina
Department of Mathematics, Royal Institute of Technology (KTH), Stockholm, 10044, Sweden
CMA/Department of Mathematics, University of Oslo, P.O.Box 1053 Blindern, Oslo, NO-0316, Norway
Palabras clave:Higher order projective duality; Toric variety; Tropicalization
Año:2014
Volumen:64
Número:1
Página de inicio:375
Página de fin:400
DOI: http://dx.doi.org/10.5802/aif.2851
Título revista:Annales de l'Institut Fourier
Título revista abreviado:Ann. Inst. Fourier
ISSN:03730956
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03730956_v64_n1_p375_Dickenstein

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Citas:

---------- APA ----------
Dickenstein, A., Di Rocco, S. & Piene, R. (2014) . Higher order duality and toric embeddings. Annales de l'Institut Fourier, 64(1), 375-400.
http://dx.doi.org/10.5802/aif.2851
---------- CHICAGO ----------
Dickenstein, A., Di Rocco, S., Piene, R. "Higher order duality and toric embeddings" . Annales de l'Institut Fourier 64, no. 1 (2014) : 375-400.
http://dx.doi.org/10.5802/aif.2851
---------- MLA ----------
Dickenstein, A., Di Rocco, S., Piene, R. "Higher order duality and toric embeddings" . Annales de l'Institut Fourier, vol. 64, no. 1, 2014, pp. 375-400.
http://dx.doi.org/10.5802/aif.2851
---------- VANCOUVER ----------
Dickenstein, A., Di Rocco, S., Piene, R. Higher order duality and toric embeddings. Ann. Inst. Fourier. 2014;64(1):375-400.
http://dx.doi.org/10.5802/aif.2851