Toric hyperkähler varieties.
Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
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Displaying similar documents to “Maps of toric varieties in Cox coordinates”
Toric hyperkähler varieties.
Pre-Tango structures and uniruled varieties
Yoshifumi Takeda (2007)
Colloquium Mathematicae
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The pre-Tango structure is an ample invertible sheaf of locally exact differentials on a variety of positive characteristic. It is well known that pre-Tango structures on curves often induce pathological uniruled surfaces. We show that almost all pre-Tango structures on varieties induce higher-dimensional pathological uniruled varieties, and that each of these uniruled varieties also has a pre-Tango structure. For this purpose, we first consider the p-closed rational vector field...
Higher order duality and toric embeddings
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...
The nil Hecke ring and singularity of Schubert varieties.
Shrawan Kumar (1996)
Inventiones mathematicae
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Schubert varieties in
V. B. Mehta, A. Ramanathan (1988)
Compositio Mathematica
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Projective normality of flag varieties and Schubert varieties.
S. Ramanan, A. Ramanathan (1985)
Inventiones mathematicae
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An embedding theorem for smooth projective toric varieties.
Günter Ewald (1988)
Aequationes mathematicae
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Rational points of bounded height on Fano varieties.
J. Franke, Y.I. Manin, Y. Tschinkel (1989)
Inventiones mathematicae
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On the Classification of Toric Fano Varieties.
G. Ewald (1988)
Discrete & computational geometry
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Varieties and finite closure conditions
John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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On some numerical properties of Fano varieties
Cinzia Casagrande (2004)
Bollettino dell'Unione Matematica Italiana
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This is the text of a talk given at the XVII Convegno dellUnione Matematica Italiana held at Milano, September 8-13, 2003. I would like to thank Angelo Lopez and Ciro Ciliberto for the kind invitation to the conference. I survey some numerical conjectures and theorems concerning relations between the index, the pseudo-index and the Picard number of a Fano variety. The results I refer to are contained in the paper [3], wrote in collaboration with Bonavero, Debarre and Druel. ...