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
Non-reflexive projective curves of low degree.
Non-simple semistable vector bundles over a curve.
Non-simple vector bundles on curves.
Non-special projectively normal line bundles on general k-gonal curves
Let X be a sufficiently general smooth k-gonal curve of genus g and R ∈ Pic(X) the degree k spanned line bundle. We find an optimal integer z > 0 such that the line bundle is very ample and projectively normal.
Nonstandard arithmetic of function fields over H-convex subfields of *Q.
Non-supersingular hyperelliptic jacobians
Let be a field of odd characteristic , let be an irreducible separable polynomial of degree with big Galois group (the symmetric group or the alternating group). Let be the hyperelliptic curve and its jacobian. We prove that does not have nontrivial endomorphisms over an algebraic closure of if either or .
Normal bundle to curves in quadrics
Normal Bundles of Rational Curves in ...3.
Normal forms and moduli spaces of curve singularities with semigroup
Normal generation and presentation of line bundles of low degree on curves.
Normal generation of line bundles on a general -gonal algebraic curve
We prove that a very ample special line bundle of degree on a general -gonal curve is normally generated if the degree of the base locus of its dual bundle does not exceed , where .
Note bezüglich der Zahl der Moduln einer Classe von algebraischen Gleichungen. Von A. Brill in Giessen