The diffeomorphism classification of non-simply connected Dolgachev surfaces.
The discriminant of a real simple singularity
The distribution of bidegrees of smooth surfaces in Gr (1, P3).
The dual of the invariant quintic.
The equations of the abelian surfaces embedded in ...4 (...).
The Euler characteristic of varieties realized as the complete intersection of toric hypersurfaces.
The existence of algebraic surfaces with preassigned Chern numbers.
The existence of elliptic fibre space structures on Calabi-Yau threefolds.
The Fano surface of the Gushel threefold
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).