Noether's problem for some groups of order 16n
Noether's problem over an algebraically closed field.
Nœuds algébriques
Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.
Nombre de points des jacobiennes sur un corps fini
Nombre de points des variétés de Shimura sur un corps fini
Nombre maximum de points rationnels d'une courbe sur un corps fini
Nombres congruents et courbes elliptiques
Nombres de points des courbes algébriques sur F ...
Non archimedean Hopf surfaces
Non completely solvable systems of complex first order PDEs
Non standard arithmetic and application to height functions
Nonabelian Hodge theory in characteristic
Given a scheme in characteristic p together with a lifting modulo p2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules. We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.
Non-Archimedean analytic curves in Abelian varieties.
Non-archimedean complex powers and eigenvalues of monodromy
Nonarchimedean dynamical systems
Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata log-terminal pairs. There is a natural Kawamata log-terminal pair corresponding to an algebraic variety having a regular action of a finite group . In this situation we show that the stringy Euler number of this pair coincides with the physicists’ orbifold Euler number defined by the Dixon-Harvey-Vafa-Witten formula. As an application, we prove a conjecture...
Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for
Inspired by Manin’s approach towards a geometric interpretation of Arakelov theory at infinity, we interpret in this paper non-Archimedean local intersection numbers of linear cycles in with the combinatorial geometry of the Bruhat-Tits building associated to .
Nonassociative algebras: a framework for differential geometry.
Non-classical Gorenstein curves of arithmetic genuas three and four.
Noncommutative algebraic geometry.
The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure. In this paper we shall show that one may overcome these difficulties by introducing a noncommutative algebraic geometry, where affine schemes are modeled...