A toroidal compactification of the Fermi surface for the discrete Schrödinger operator.
A trace formula for F-crystals.
A triple intersection theorem for the varieties SO(n)/Pd
We study the Schubert calculus on the space of d-dimensional linear subspaces of a smooth n-dimensional quadric lying in the projective space. Following Hodge and Pedoe we develop the intersection theory of this space in a purely combinatorial manner. We prove in particular that if a triple intersection of Schubert cells on this space is nonempty then a certain combinatorial relation holds among the Schubert symbols involved, similar to the classical one. We also show when these necessary conditions...
A tropical view on Bruhat-Tits buildings and their compactifications
We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are described by tropical linear algebra. The compactifications we consider arise from algebraic representations of G. We show that the fan which is used to compactify an apartment in this theory is given by the weight polytope of the representation...
A Unified Kummer-Artin-Schreier Sequence.
A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions.
A universal property of the Cayley-Chow space of algebraic cycles
A vanishing theorem concerning the Artin component of a rational surface singularity.
A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
A Vanishing Theorem for Group Compactifications.
A vanishing theorem on arithmetic surfaces.
A variant of Petri's analysis of the canonical ideal of an algebraic curve.
A variational Torelli theorem for cyclic coverings of high degree
A Very Simple Proof of Bott's Theorem.
A weak Néron model with applications to -adic dynamical systems
Abelian covers of algebraic varieties.
Abelian extensions of an absolutely unramified local field with general residue field.
Abelian group actions on algebraic varieties with one fixed point.
Abelian splitting of division algebras of prime degrees.
Abelian surfaces and jacobian varieties over finite fields