Nagata submaximal curves on ℙ¹ × ℙ¹
The aim of this paper is to show that on ℙ¹ × ℙ¹ with a polarization of type (2,1) there are no R-R expected submaximal curves through any 10 ≤ r ≤ 15 points.
Nakamaye’s theorem on log canonical pairs
We generalize Nakamaye’s description, via intersection theory, of the augmented base locus of a big and nef divisor on a normal pair with log-canonical singularities or, more generally, on a normal variety with non-lc locus of dimension . We also generalize Ein-Lazarsfeld-Mustaţă-Nakamaye-Popa’s description, in terms of valuations, of the subvarieties of the restricted base locus of a big divisor on a normal pair with klt singularities.
Nash cohomology of smooth manifolds
A Nash cohomology class on a compact Nash manifold is a mod 2 cohomology class whose Poincaré dual homology class can be represented by a Nash subset. We find a canonical way to define Nash cohomology classes on an arbitrary compact smooth manifold M. Then the Nash cohomology ring of M is compared to the ring of algebraic cohomology classes on algebraic models of M. This is related to three conjectures concerning algebraic cohomology classes.
Nef Cotangent Bundles over Line Arrangements.
Nef line bundles which are not ample.
Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.
Nets of Quadrics and Vector Bundles on a Double Plane.
New Examples of Threefolds with c1 = 0.
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 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 .
Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces
Non-normal del Pezzo durfaces and Fano threefolds of the first kind.
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-obstructedness of Gorenstein Subschemes of Codimension 3 in P...
Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni theory.
Non-Proper Intersection of Surfaces and Applications
Normal Bundles of Rational Curves in ...3.
Normal projective surfaces with
Note on curves in a jacobian
Note relative à la détermination du nombre des points d'intersection de deux courbes d'ordre quelconque, qui se trouvent à distance finie.