Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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The Clifford index of curves on K3 surfaces and non-symplectic automorphisms

Marco Ramponi

created by risa on 23 Jan 2015

26 jan 2015 -- 16:45

Aula Dal Passo, Dip. Matematica, Università "Tor Vergata", Roma


The Clifford index of an algebraic curve behaves quite interestingly when the curve lies on a K3 surface. For example, it does not change if we let the curve move in its linear system. Moreover, if the curve is non-general in moduli its Clifford index is always cut out by a linear system on the surface. We will discuss a possible classification of these linear systems when the AMBIENT K3 surface carries non-symplectic automorphisms

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