Faisceaux amples et très amples
Faisceaux caractères
Faisceaux cohérents sur les courbes multiples.
This paper is devoted to the study of coherent sheaves on non reduced curves that can be locally embedded in smooth surfaces. If Y is such a curve then there is a filtration C ⊂ C2 ⊂ ... ⊂ Cn = Y such that C is the reduced curve associated to Y, and for very P ∈ C there exists z ∈ OY,P such that (zi) is the ideal of Ci in OY,P. We define, using canonical filtrations, new invariants of coherent sheaves on Y: the generalized rank and degree, and use them to state a Riemann-Roch theorem for sheaves...
Faisceaux constructibles quasi-unipotents
Faisceaux de Darboux et questions connexes dans l'espace affine courbe
Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de Jacquet et Ye
Faisceaux pervers, transformation de Mellin et déterminants
Faisceaux quasi-cohérents
Faisceaux triangulaires sur l'espace projectif
Fake CM and the stable model of .
Faltings modular height and self-intersection of dualizing sheaf.
Famiglie di curve nodali su superfici proiettive
Famiglie di curve sulle superfici algebriche
Families of -symplectic metrics on full flag manifolds.
Families of algebraic curves with nodes
Families of Arcs on rational surface singularities.
Families of curves and alterations
In this article it is shown that any family of curves can be altered into a semi-stable family. This implies that if is an excellent scheme of dimension at most 2 and is a separated integral scheme of finite type over , then can be altered into a regular scheme. This result is stronger then the results of [ Smoothness, semi-stability and alterations to appear in Publ. Math. IHES]. In addition we deal with situations where a finite group acts.
Families of Curves on Surfaces.
Families of Curves with Nodes on K-3 Surfaces.
Families of elliptic curves with genus 2 covers of degree 2.
We study genus 2 covers of relative elliptic curves over an arbitrary base in which 2 is invertible. Particular emphasis lies on the case that the covering degree is 2. We show that the data in the "basic construction" of genus 2 covers of relative elliptic curves determine the cover in a unique way (up to isomorphism).A classical theorem says that a genus 2 cover of an elliptic curve of degree 2 over a field of characteristic ≠ 2 is birational to a product of two elliptic curves over the projective...