Alice Garbagnati

Title: On certain isogenies between K3 surfaces

Abstract:
We will construct special isogenies between K3 surfaces, obtained by following quotients 
by symplectic automorphisms, and we will determine the families of K3 surfaces for which 
this construction is possible. To this purpose we will prove that there are big families of 
K3 surfaces which both admit a finite symplectic automorphism and are (desingularization of) 
quotients of other K3 surfaces by a symplectic automorphism. In the case of the involution 
we exhibit infinitely many sets of infinitely many K3 surfaces which are isogenous each other 
and we determine their transcendental lattices. This talk is based on a joint work with C. Camere.