Displaying similar documents to “Maximal rationally connected fibrations and movable curves”

Geometry of the genus 9 Fano 4-folds

Frédéric Han (2010)

Annales de l’institut Fourier

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We study the geometry of a general Fano variety of dimension four, genus nine, and Picard number one. We compute its Chow ring and give an explicit description of its variety of lines. We apply these results to study the geometry of non quadratically normal varieties of dimension three in a five dimensional projective space.

Halphen gaps and good space curves

Jan O. Kleppe (1998)

Bollettino dell'Unione Matematica Italiana

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In questo articolo dimostriamo l'esistenza di curve "buone e generali" di grado d e genere g che giacciono su di una superfice liscia di grado s , per ogni s ≥ 4 , d ≥ s 2 , e g in un certo intervallo vicino al genere massimo.

Stable twisted curves and their r -spin structures

Alessandro Chiodo (2008)

Annales de l’institut Fourier

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The subject of this article is the notion of r -spin structure: a line bundle whose r th power is isomorphic to the canonical bundle. Over the moduli functor M g of smooth genus- g curves, r -spin structures form a finite torsor under the group of r -torsion line bundles. Over the moduli functor M ¯ g of stable curves, r -spin structures form an étale stack, but both the finiteness and the torsor structure are lost. In the present work, we show how this bad picture can be definitely...