# The Clifford index of curves on K3 surfaces and non-symplectic automorphisms

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Marco Ramponi

created by risa on 23 Jan 2015

26 jan 2015
-- 16:45

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

**Abstract.**

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