Fields of definition of algebraic varieties in characteristic zero
Alexandru Buium (1987)
Compositio Mathematica
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Alexandru Buium (1987)
Compositio Mathematica
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Mario Raimondo (1985)
Rendiconti del Seminario Matematico della Università di Padova
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A. Ramanathan (1987)
Publications Mathématiques de l'IHÉS
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Krzysztof Nowak (1998)
Colloquium Mathematicae
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We present a formula for the intersection multiplicity of the images of two subvarieties under an etale morphism between smooth varieties over a field k. It is a generalization of Fulton's Example 8.2.5 from [3], where a strong additional assumption has been imposed. In a special case where the base field k is algebraically closed and a proper component of the intersection is a closed point, intersection multiplicity is an invariant of etale morphisms. This corresponds with analytic...
Dimca, Alexandru (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Dan Abramovich (1994)
Compositio Mathematica
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Joel Roberts, Rahim Zaare-Nahandi (1984)
Compositio Mathematica
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Hausel, Tamás, Sturmfels, Bernd (2002)
Documenta Mathematica
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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...