Constructive geometric invariant theory for certain nonreductive groups
Constructive invariant theory for tori
Consider a rational representation of an algebraic torus on a vector space . Suppose that is a homogeneous minimal generating set for the ring of invariants, . New upper bounds are derived for the number . These bounds are expressed in terms of the volume of the convex hull of the weights of and other geometric data. Also an algorithm is described for constructing an (essentially unique) partial set of generators consisting of monomials and such that is integral over .
Contractions of Lie algebras and algebraic groups
Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.
Contractions of the actions of reductive algebraic groups in arbitrary characteristic.
Correction to “Cohomology of line bundles on ”
Correction to "Corrections to the paper «A remark on the orbit spaces under multiplicative group actions»" (Colloquium Mathematicum 57.2 (1989), pp. 361--362)
Corrections to the paper "A remark on the orbit spaces under multiplicative group actions''
Correspondencias divisoriales entre esquemas relativos.
En este trabajo se estudian las correspondencias divisoriales entre dos esquemas relativos. Una correspondencia divisorial es una correspondencia algebraica entre los puntos de un esquema X y las clases de equivalencia lineal de divisores de otro esquema Y. Se consideran correspondencias triviales las que asignan a cada punto toda la variedad y las inversas de éstas. Por tanto las correspondencias divisoriales módulo las triviales son los divisores del producto módulo, módulo los divisores que provienen...
Corrigendum to : « Tame stacks in positive characteristic »
Courbes elliptiques munies d’un sous-groupe
Courbes rationnelles sur les variétés homogènes
Soit une variété homogène sous un groupe . Nous étudions les orbites maximales de sous l’action d’un parabolique de . Nous les décomposons en fibrations affines et projectives. Cette description permet de montrer que le schéma de Hilbert des courbes rationnelles lisses de classe fixée est non vide et irréductible.
Courbes sur une variété abélienne
Coxeter Orbits and Eigenspaces of Frobenius
Crystalline boundedness principle
Crystalline Dieudonné module theory via formal and rigid geometry
Crystalline Dieudonné theory over excellent schemes
Cubic structures and ideal class groups
Cuspidal local systems and graded Hecke algebras, I
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.
Cyclotomy and an extension of the Taniyama group