(1)LES BOULESLp DANS LE PLAN OLIVIER DEBARRE J’aime bien ces images des boulesLp dans le plan : On voit bien pourquoi k(x, y)kp

A complex manifold with a Hermitian metric that sat- isfies (3) (e.g., a compact complex manifold with negative bisectional holomorphic curvature) is analytically

In this talk, a quadratic line complex is the intersec- tion, in its Pl¨ ucker embedding, of the Grassmannian of lines in an 4-dimensional projective space with a quadric.. We study

The question of their rationality is not settled and is very much like the case of cubic fourfolds in P 5 : some (smooth) rational examples are known (see below) and it is expected

When the Picard number is 2, the very simple structure of the nef and movable cones of a hyperk¨ ahler manifold X (they only have 2 extremal rays) can be used to describe the

K3 surfaces, hyperk¨ ahler manifolds, birational isomorphisms, automorphisms, Torelli theorem, period domains, Noether–Lefschetz loci, cones of divisors, nef classes, ample

(et basée sur des idées de Viehweg) est que, pour tout fibré en droites ample L sur une surface K3, une puissance tensorielle uniforme de L (en fait L ⊗3 ; cf. 3.10) est très ample

Note that quartic surfaces are in one-to-one correspondence with quartic double solids (Example 1.2), so we may also associate to B the 5-dimensional intermediate Jacobian J(X) of

Mais peut-on paramétrer par des fractions rationnelles en deux va- riables dans Q 2 (presque toutes) les solutions rationnelles, c’est-à-dire décrire une famille de solutions