On the logarithmic plurigenera of algebraic surfaces
On the moduli of quasi-canonical liftings
On the Moment Map of a Multiplicity Free Action
The purpose of this note is to show that the Orbit Conjecture of C. Benson, J. Jenkins, R. L. Lipsman and G. Ratcliff [BJLR1] is true. Another proof of that fact has been given by those authors in [BJLR2]. Their proof is based on their earlier results, announced together with the conjecture in [BJLR1]. We follow another path: using a geometric quantization result of Guillemin-Sternberg [G-S] we reduce the conjecture to a similar statement for a projective space, which is a special case of a characterization...
On the motive of a quotient variety.
We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.
On the Periods of Enriques Surfaces. II.
On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic K3-Surfaces.
On the principal bundles over a flag manifold.
On the problem of detecting linear dependence for products of abelian varieties and tori
On the Rational Points of Abelian Varieties over Zp Extensions of Number Fields.
On the reflection representation in Springer's theory.
On the S-fundamental group scheme
We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
On the stability of subgroup actions on certain quasihomogeneous -varieties.
On the stratification of the moduli space of Mumford curves
On the Structure of Commutative Affine Group Schemes over a Non-Perfect Field.
On the structure of the group scheme
On the translation functors for a semisimple algebraic group.
On the zero set of semi-invariants for quivers
On Torsion Points of Formal Groups over a Ring of Witt Vectors.
On two theorems for flat, affine group schemes over a discrete valuation ring
We include short and elementary proofs of two theorems that characterize reductive group schemes over a discrete valuation ring, in a slightly more general context.
On x³ + y³ + z³ = 3μxyz and Jacobi polynomials