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

Umberto Bartocci; Lucio Guerra

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

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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.

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 $X \times_{G} Y$ in the categories of quasi-projective and algebraic varieties and also in the category of algebraic spaces.