Ramification in etale cohomologie.
Rang maximal pour Tpn.
Rank 2 Stable Vector Bundles on IP3 (...) with Chern Classes c1 = -1, c2 = 4.
Rank 2 vector bundles on P4 with c1 odd and contact curves.
Rank two vector bundles over regular elliptic surfaces.
Rank-2 Vector Bundles on a Ruled Surface. I.
Rank-2 Vector Bundles on a Ruled Surface II.
Rank-two vector bundles on general quartic hypersurfaces in P4.
In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
Rank-two vector bundles on Hirzebruch surfaces
We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.
Rational and homological equivalence for real cycles.
Rational intersection cohomology of projective toric varieties.
Rational intersection cohomology of quotient varieties.
Rational intersection cohomology of quotient varieties. II.
Rational points and Coxeter group actions on the cohomology of toric varieties
We derive a simple formula for the action of a finite crystallographic Coxeter group on the cohomology of its associated complex toric variety, using the method of counting rational points over finite fields, and the Hodge structure of the cohomology. Various applications are given, including the determination of the graded multiplicity of the reflection representation.
Rationalité des Singularités Canoniques.
Rationalité et valeurs de fonctions en cohomologie cristalline
Dans l’exposé Bourbaki 409, Katz conjecture la méromorphie -adique de la fonction attachée à une variété lisse sur un corps fini () et à un -cristal sur . Si est propre et lisse sur nous prouvons que est rationnelle et fournie par l’expression habituelle utilisant l’action du Frobenius sur la cohomologie cristalline à coefficients dans ; ce résultat n’était connu, via les “conjectures de Weil”, que pour des -cristaux unités particuliers: ceux provenant d’une représentation de...
Rationally connected varieties over local fields.
Real algebraic hypersurfaces in complex projective varieties.
Real algebraic spaces
Real Algebraic Surfaces with Rational or Elliptic Fiberings.