We compute the class of the compactification of the divisor of curves sitting on a K3 surface
and show that it violates the Harris-Morrison Slope Conjecture. We carry this out using the …

In this article we exhibit certain projective degenerations of smooth K 3 surfaces of degree 2
g− 2 in ℙ g (whose Picard group is generated by the hyperplane class), to a union of two …

Ce travail 6tait motiv6 initialement par la lecture de [15] et la remarque que les courbes
contenues dans une surface K3 S, telle que PicS est engendr6 par la classe de C …

We discuss in this note which K3 surfaces appear as anticanonical divisors in a Fano
threefold. We prove in particular that a general K3 surface with given Picard lattice P and …

We give an informal survey, emphasizing examples and open problems, of two
interconnected research programs in moduli of curves: the systematic classification of …

We give a proof of Mukai's Theorem on the existence of certain exceptional vector bundles
on prime Fano threefolds. To our knowledge this is the first complete proof in the literature …

Let C be a Brill-Noether-Petri curve of genus g\geq 12. We prove that C lies on a polarized
K3 surface, or on a limit thereof, if and only if the Gauss-Wahl map for C is not surjective. The …

Let C be a smooth projective curve (resp.(S, L) a polarized K⁢ 3 surface) of genus g⩾ 11,
with Clifford index at least 3, considered in its canonical embedding in ℙ g-1 (resp. in its …

The purpose of this article is to develop further a method to classify varieties X⊂[inline-
graphic xmlns: xlink=" http://www. w3. org/1999/xlink" xlink: href=" 01i"/] having canonical …

Let Mg be the moduli space of smooth curves of genus g and Mg the moduli space of stable
curves of genus g. Then Mg= Mg UA, where A—YA= OA; and Aj is the locus of the closure of …