The Fermi surface for the discretized Maxwell equations
The Fixed Points of the Symmetrie Hilbert Modular Group of a Real Quadratic Field with Arbitrary Discriminant.
The fundamental group at infinity of affine surfaces.
The fundamental group of a Galois cover of .
The Genus of Curves in P4 and P5.
The Genus of Space Curves.
The geometry of the third moment of exponential sums
We give a geometric interpretation (and we deduce an explicit formula) for two types of exponential sums, one of which is the third moment of Kloosterman sums over of type . We establish a connection between the sums considered and the number of -rational points on explicit smooth projective surfaces, one of which is a surface, whereas the other is a smooth cubic surface. As a consequence, we obtain, applying Grothendieck-Lefschetz theory, a generalized formula for the third moment of Kloosterman...
The Hasse problem for rational surfaces.
The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.
The Hilbert Function of curves on certain smooth quartic surfaces.
The Hilbert Modular Group for the Field ...(...13).
The Hilbert modular group, resolution of the singularities at the cusps and related problems
The Hilbert Modular Surface for the Ideal (...5) and the Horrocks-Mumford Bundle.
The Hilbert Modular Surface of a Real Quadratic Field.
The Hodge Conjecture for a Certain Class of Fourfolds.
The Hodge Conjecture for Fermat Varieties.
The horizontal base locus of multiples of tautological sheaves of projectivised cotangent bundles.
The Horrocks-Mumford Bundle and the Ferrand Construction.
The Horrocks-Mumford bundle restricted to planes.
We study the behavior of the Horrocks-Mumford bundle FHM when restricted to a plane P2 ⊂ P4, looking for all possible minimal free resolutions for the restricted bundle. To each of the 6 resolutions (4 stable and 2 unstable) we find, we then associate a subvariety of the Grassmannian G(2,4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.
The hyperosculating spaces of hypersurfaces.