Dynamique des automorphismes des surfaces K3

homogeneous variety X used by Mukai [M] to study the moduli space of K3 surfaces of genus 10.. 0.2).. Recall that homogeneous vector bundles on X are in one to

PROOF: If î contains a non-constant affine-linear function then Z contains all of them, as they form an orbit for the affine group. As the constant function 1 is the

In [14], the first author reproved the Yau–Zaslow formula (1.1) for primi- tive classes and its higher genera generalization using p g –dimensional family Gromov–Witten

The first composition law, Proposition 1.1(a) relates family invariants and ordinary invariants (for trivial homology class) of K3 surfaces.. In this section, we first recall the

I give an outline of its proof by degeneration to an elliptic K3 surface due to Bryan–Leung, as detailed as the scope of these notes and the ability of the author permit ; it

Adapting a powerful method of Swinnerton-Dyer, we give explicit sufficient con- ditions for the existence of integral points on certain schemes which are fibered into affine

The second question above is somewhat vague, and is a bit of as a catch- all terminology for various specific questions. For example, one might ask if there exist integral points

curves of genus 0 and several rational points.. Is there a K3 surface, defined over a number field, such that its set of rational points is neither empty, nor dense?.. classes of Pic