Note über ein Eliminationsproblem
Notes on étale cohomology of number fields
Notes on the algebra and geometry of polynomial representations.
Notes on the arithmetic of Fano threefolds
Notes on Varieties of Codimension 3 in Pn.
Notes p-adiques sur les courbes elliptiques.
Notions relatives de régulateurs et de hauteurs
Nouvelles approches du «théorème» de Fermat
Nouvelles courbes de bon genre dans l'espace projectif.
Nouvelles surfaces à noeuds dans IP3.
Novikov homology, jump loci and Massey products
Let X be a finite CW complex, and ρ: π 1(X) → GL(l, ℂ) a representation. Any cohomology class α ∈ H 1(X, ℂ) gives rise to a deformation γ t of ρ defined by γ t (g) = ρ(g) exp(t〈α, g〉). We show that the cohomology of X with local coefficients γ gen corresponding to the generic point of the curve γ is computable from a spectral sequence starting from H*(X, ρ). We compute the differentials of the spectral sequence in terms of the Massey products and show that the spectral sequence degenerates in case...
Null Class Groups of Algebraic Function Fields.
Nullstellensatz and cycles of zeroes of holomorphic mappings
The local Nullstellensatz exponent for holomorphic mappings via intersection theory for the cases of isolated and quasi-complete intersection is considered.
Number of moduli of ireducible families of plane curves with nodes and cusps.
Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type
Number of singular points of an annulus in
Using BMY inequality and a Milnor number bound we prove that any algebraic annulus in with no self-intersections can have at most three cuspidal singularities.
Numerical Campedelli surfaces with fundamental group of order 9
We give explicit constructions of all the numerical Campedelli surfaces, i.e. the minimal surfaces of general type with and , whose fundamental group has order 9. There are three families, one with and two with . We also determine the base locus of the bicanonical system of these surfaces. It turns out that for the surfaces with and for one of the families of surfaces with the base locus consists of two points. To our knowlegde, these are the only known examples of surfaces of general...
Numerical character of the effectivity of adjoint line bundles
In this note we show that, for any log-canonical pair , is -effective if its Chern class contains an effective -divisor. Then, we derive some direct corollaries.
Numerical characterization of nef arithmetic divisors on arithmetic surfaces
In this paper, we give a numerical characterization of nef arithmetic -Cartier divisors of -type on an arithmetic surface. Namely an arithmetic -Cartier divisor of -type is nef if and only if is pseudo-effective and .
Numerical criteria for the positivity of the difference of ample divisors.