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.
Nef Cotangent Bundles over Line Arrangements.
Nef line bundles which are not ample.
Non-hyperelliptic fibrations of small genus and certain irregular canonical surfaces
Non-normal del Pezzo durfaces and Fano threefolds of the first kind.
Non-primitive linear systems on smooth algebraic curves and a generalization of Maroni theory.
Numerical criteria for the positivity of the difference of ample divisors.