La conjecture de Milnor
Le formule del grado
Questo manoscritto è un'introduzione al concetto di formule del grado e a qualche loro applicazione. In esso si dà una formalizzazione di quello che si intenderà con formula del grado, vengono enunciati due esempi: uno cosiddetto di primo livello ed uno più generale. Successivamente si descrivono le componenti di queste formule: i numeri e gli ideali di ostruzione. Dopo un breve accenno alla dimostrazione, il testo si conclude con una sezione in cui si analizzano esplicitamente varietà algebriche...
Le symbole modéré
Lefschetz-Riemann-Roch theorem and coherent trace formula.
Lefschetz-Riemann-Roch theorem for smooth algebraic schemes.
Les K-groupes d'un schéma éclaté et une formule d'intersection excédentaire.
Localization on singular varieties.
Modules of finite length and -groups of surface singularities
Motifs, L-Functions, and the K-Cohomology of Rational Surfaces over Finite Fields.
Motivic Artin -functions and a motivic Tamagawa number. (Fonctions d'Artin et nombre de Tamagawa motiviques.)
Motivic complexes of Suslin and Voevodsky
Motivic decomposition of abelian schemes and the Fourier transform.
Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields.
On K1 of curves over global fields.
On the Chow groups of certain rational surfaces
On the conductor formula of Bloch
In [6], S. Bloch conjectures a formula for the Artin conductor of the ℓ-adic etale cohomology of a regular model of a variety over a local field and proves it for a curve. The formula, which we call the conductor formula of Bloch, enables us to compute the conductor that measures the wild ramification by using the sheaf of differential 1-forms. In this paper, we prove the formula in arbitrary dimension under the assumption that the reduced closed fiber has normal crossings.
On the finiteness of for motives associated to modular forms.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field (Correction).
On the non-triviality of the Griffith group.