Abstract:
The notion of higher order dual varieties of a projective variety, introduced in Piene [Singularities, part 2, (Arcata, Calif., 1981), Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1983], is a natural generalization of the classical notion of projective duality. In this paper, we present geometric and combinatorial characterizations of those equivariant projective toric embeddings that satisfy higher order selfduality. We also give several examples and general constructions. In particular, we highlight the relation with Cayley–Bacharach questions and with Cayley configurations. © 2017, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.
Registro:
Documento: |
Artículo
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Título: | Higher order selfdual toric varieties |
Autor: | Dickenstein, A.; Piene, R. |
Filiación: | Department of Mathematics, FCEN, Universidad de Buenos Aires, Buenos Aires, Argentina IMAS (UBA-CONICET), Ciudad Universitaria - Pab. I, Buenos Aires, C1428EGA, Argentina Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, Oslo, 0316, Norway
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Año: | 2017
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Volumen: | 196
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Número: | 5
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Página de inicio: | 1759
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Página de fin: | 1777
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DOI: |
http://dx.doi.org/10.1007/s10231-017-0637-4 |
Título revista: | Annali di Matematica Pura ed Applicata
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Título revista abreviado: | Ann. Mat. Pura Appl.
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ISSN: | 03733114
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v196_n5_p1759_Dickenstein |
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Citas:
---------- APA ----------
Dickenstein, A. & Piene, R.
(2017)
. Higher order selfdual toric varieties. Annali di Matematica Pura ed Applicata, 196(5), 1759-1777.
http://dx.doi.org/10.1007/s10231-017-0637-4---------- CHICAGO ----------
Dickenstein, A., Piene, R.
"Higher order selfdual toric varieties"
. Annali di Matematica Pura ed Applicata 196, no. 5
(2017) : 1759-1777.
http://dx.doi.org/10.1007/s10231-017-0637-4---------- MLA ----------
Dickenstein, A., Piene, R.
"Higher order selfdual toric varieties"
. Annali di Matematica Pura ed Applicata, vol. 196, no. 5, 2017, pp. 1759-1777.
http://dx.doi.org/10.1007/s10231-017-0637-4---------- VANCOUVER ----------
Dickenstein, A., Piene, R. Higher order selfdual toric varieties. Ann. Mat. Pura Appl. 2017;196(5):1759-1777.
http://dx.doi.org/10.1007/s10231-017-0637-4