Displaying similar documents to “On a linearity criterion for algebraic systems of divisors on a projective variety”

On a linearity criterion for algebraic systems of divisors on a projective variety

Umberto Bartocci, Lucio Guerra (1987)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In the present paper, it is established in any characteristic the validity of a classical theorem of Enriques', stating the linearity of any algebraic system of divisors on a projective variety, which has index 1 and whose generic element is irreducible, as soon as its dimension is at least 2.

Attracting divisors on projective algebraic varieties

Małgorzata Stawiska (2007)

Annales Polonici Mathematici

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We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor D on a projective algebraic variety X to be attracting for a holomorphic map f:X → X.

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...

On induced actions of algebraic groups

Andrzej Bialynicki-Birula (1993)

Annales de l'institut Fourier

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In this paper we study the existence problem for products X × G Y in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.