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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
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
Año:2017
Volumen:196
Número:5
Página de inicio:1759
Página de fin:1777
DOI: http://dx.doi.org/10.1007/s10231-017-0637-4
Título revista:Annali di Matematica Pura ed Applicata
Título revista abreviado:Ann. Mat. Pura Appl.
ISSN:03733114
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