On normalization of Nash varieties
On numerically effective log canonical divisors.
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.
On One-Parameter Family of Affine Planes.
On Open Algebraic Surfaces IP2 ? C.
On orbits of the automorphism group on an affine toric variety
Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space by a linear action of a quasitorus. We prove that the orbits of the connected component of the automorphism group Aut(X) on X coincide with the Luna strata defined by the canonical quotient presentation.
On osculating cones and the Riemann-Kempf singularity theorem for hyperelliptic curves, trigonal curves, and smooth plane quintics
On ovals on Riemann surfaces.
We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2r - 3(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2r - 1. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.
On overconvergent isocrystals and -isocrystals of rank one
On -adic analytic families of Galois representations
On - adic differential equations IV generalized hypergeometric functions as - adic analytic functions in one variable
On -adic differential equations. The Frobenius structure of differential equations
On -adic -functions
On -adic uniformization
On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer.
On P-Adic Differential Equations. III. On P-Adically Bounded Solutions of Ordinary Linear Differential Equations with Rational Function Coefficients.
On p-adic L-functions Associated to Elliptic Curves.
On p-adic monodromy.
On parabolic Whittaker functions II
We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N. Our key tool is a generalization of the Whittaker model for principal series U(gl N)-modules, and its realization in the space of functions of totally positive unipotent matrices. In particular, our construction involves a representation theoretic derivation of the Batyrev-Ciocan-Fontanine-Kim-van...
On Pencils of Curves and Deformations of Minimally Elliptic Singularities .