Displaying similar documents to “Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni theory.”

Projectively Normal Line Bundles on K-Gonal Curves and Rational Surfaces

Ballico, E., Keem, C. (2005)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14H50. Here we prove the projective normality of several special line bundles on a general k-gonal curve. * The author was partially supported by MIURST and GNSAGA of INdAM (Italy) ** The author was partially supported by KOSEF # R01-2002-000-00051-0

On the birational gonalities of smooth curves

E. Ballico (2014)

Annales UMCS, Mathematica

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Let C be a smooth curve of genus g. For each positive integer r the birational r-gonality sr(C) of C is the minimal integer t such that there is L ∈ Pict(C) with h0(C,L) = r + 1. Fix an integer r ≥ 3. In this paper we prove the existence of an integer gr such that for every integer g ≥ gr there is a smooth curve C of genus g with sr+1(C)/(r + 1) > sr(C)/r, i.e. in the sequence of all birational gonalities of C at least one of the slope inequalities fails

Towards the classification of weak Fano threefolds with ρ = 2

Joseph Cutrone, Nicholas Marshburn (2013)

Open Mathematics

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In this paper, examples of type II Sarkisov links between smooth complex projective Fano threefolds with Picard number one are provided. To show examples of these links, we study smooth weak Fano threefolds X with Picard number two and with a divisorial extremal ray. We assume that the pluri-anticanonical morphism of X contracts only a finite number of curves. The numerical classification of these particular smooth weak Fano threefolds is completed and the geometric existence of some...