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
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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
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Palabras clave: | Higher order projective duality; Toric variety; Tropicalization |
Año: | 2014
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Volumen: | 64
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Número: | 1
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Página de inicio: | 375
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Página de fin: | 400
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DOI: |
http://dx.doi.org/10.5802/aif.2851 |
Título revista: | Annales de l'Institut Fourier
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Título revista abreviado: | Ann. Inst. Fourier
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ISSN: | 03730956
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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