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Article Dans Une Revue International Journal of Mathematics Année : 2009

Severi varieties and self rational maps of K3 surfaces

Résumé

Self-rational maps of generic algebraic K3 surfaces are conjectured to be trivial. We relate this conjecture to a conjecture concerning the irreducibility of the universal Severi varieties parametrizing nodal curves of given genus and degree lying on some K3 surface. We also establish a number of numerical constraints satisfied by such non trivial rational maps, that is of topological degree >1.

Dates et versions

hal-00358749 , version 1 (04-02-2009)

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Citer

Thomas Dedieu. Severi varieties and self rational maps of K3 surfaces. International Journal of Mathematics, 2009, 20 (12), pp. 1455--1477. ⟨hal-00358749⟩
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