New evidence for Green's conjecture on syzygies of canonical curves
No rational nonsingular quartic curve can be set-theoretic complete intersection on a cubic surface
Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen Funktionenkörper einer Unbestimmten. (Nach einer brieflichen Mitteilung von F.K. Schmidt in Jena).
Nodal Cubic Surfaces and the Rationality of the Moduli Space of Curves of Genus Two.
Nodal curves in
Siano , , interi con ; se esiste in una curva connessa, non singolare di grado e genere , allora esiste in una curva irriducibile di grado , genere aritmetico e nodi.
Nodal deformations of singularities.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Noether-Lefschetz, space curves and mathematical instantons.
Nœuds algébriques
Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.
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 standard arithmetic and application to height functions
Non-classical Gorenstein curves of arithmetic genuas three and four.
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
The hypersurface in with an isolated quasi-homogeneous elliptic singularity of type , has a natural Poisson structure. We show that the family of del Pezzo surfaces of the corresponding type provides a semiuniversal Poisson deformation of that Poisson structure. We also construct a deformation-quantization of the coordinate ring of such a del Pezzo surface. To this end, we first deform the polynomial algebra to a noncommutative algebra with generators and the following 3 relations labelled...
Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
Non-conservative function fields of genus (p + 1) /2.
Non-conservative plane quartic curves in characteristic five.
Non-obstructed subcanonical space curves.
Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme Hilbp(t)n is non-singular. A geometric characterization of non-obstructedness is not known even for smooth space curves. The goal of this work is to prove that subcanonical k-Buchsbaum, k ≤ 2, space curves are non-obstructed. As a main tool we use Serre's correspondence between subcanonical curves and vector bundles.
Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni theory.
Non-reflexive curves