Global moduli for elliptic surfaces with a section
Global moduli for polarized elliptic surfaces
Global Moduli for Surfaces of General Type.
Global smoothing of Calabi-Yau threefolds.
Gluing Cohen-Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities.
Good moduli spaces for Artin stacks
We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.
Graded Betti numbers of some embedded rational n-folds.
Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2.
Green's generic syzygy conjecture for curves of even genus lying on a K3 surface
We consider the generic Green conjecture on syzygies of a canonical curve, and particularly the following reformulation thereof: For a smooth projective curve of genus in characteristic 0, the condition is equivalent to the fact that . We propose a new approach, which allows up to prove this result for generic curves of genus and gonality in the range
Gromov–Witten invariants for mirror orbifolds of simple elliptic singularities
We consider a mirror symmetry of simple elliptic singularities. In particular, we construct isomorphisms of Frobenius manifolds among the one from the Gromov–Witten theory of a weighted projective line, the one from the theory of primitive forms for a universal unfolding of a simple elliptic singularity and the one from the invariant theory for an elliptic Weyl group. As a consequence, we give a geometric interpretation of the Fourier coefficients of an eta product considered by K. Saito.
Group law on the intersection of two quadrics
Groupes de Galois de corps de type fini
Il y a quelques années, Florian Pop a démontré que tout corps de type fini sur le corps premier est déterminé à isomorphisme près par son groupe de Galois absolu (quitte à passer à une extension purement inséparable en caractéristique positive). Ce théorème, dont la généalogie remonte à des travaux de Neukirch sur les groupes de Galois de corps de nombres au début des années 1970, répond positivement à la “conjecture anabélienne birationnelle”de A. Grothendieck formulée en 1983. Dans un travail...