A classification of toric varieties with few generators.
Peter Kleinschmidt (1988)
Aequationes mathematicae
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Peter Kleinschmidt (1988)
Aequationes mathematicae
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S. Ramanan, A. Ramanathan (1985)
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Alicia Dickenstein, Sandra Di Rocco, Ragni Piene (2014)
Annales de l’institut Fourier
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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...
B. Sturmfels, P. Kleinschmidt, J. Gretenkort (1990)
Discrete & computational geometry
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Stephan Fischli, David Yavin (1994)
Mathematische Zeitschrift
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Jarosław Buczyński
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Real Legendrian subvarieties are classical objects of differential geometry and classical mechanics and they have been studied since antiquity (see [Arn74], [Sła91] and references therein). However, complex Legendrian subvarieties are much more rigid and have more exceptional properties. The most remarkable case is the Legendrian subvarieties of projective space; prior to the author's research only few smooth examples of these were known (see [Bry82], [LM07]). Strong restrictions on...
Mauro C. Beltrametti, M. Lucia Fania (1991)
Mathematische Annalen
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Edoardo Ballico, Marina Bertolini, Cristina Turrini (1997)
Collectanea Mathematica
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Some inequalities between the class and the degree of a smooth complex projective manifold are given. Application to the case of low sectional genus are supplied.
Z. Ran (1983)
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V. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Hubert Flenner, Mirella Manaresi (1997)
Manuscripta mathematica
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