On the multiplicity of a quasi-homogeneous isolated singularity.
On the -conjecture
On the Nagata automorphism.
On the necessity of Reidemeister move 2 for simplifying immersed planar curves
In 2001, motivated by his results on finite-type knot diagram invariants, Östlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion S¹ → ℝ² to the standard embedding of the circle. We show that this conjecture is false.
On the Néron model of jacobians of Shimura curves
On the Néron models of abelian surfaces with quaternionic multiplication.
On the Néron-Severi group of a singular variety.
On the Newton stratification
On the Noether exponent
We obtain, in a simple way, an estimate for the Noether exponent of an ideal I without embedded components (i.e. we estimate the smallest number μ such that ).
On the Noether-Lefschetz Theorem and Some Remarks on Codimension-two Cycles.
On the non-defectivity of non weak-defectivity of Segre-Veronese embeddings of products of projective spaces.
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0.
On the non-existence of Kähler structures on certain closed and oriented differentiable 6-manifolds.
On the non-triviality of the Griffith group.
On the non-vanishing of cotangent cohomology.
On the normal bundle of an exceptional curve in a higher dimensional algebraic manifold.
On the Normal Bundle of Curves on Complete Intersection Surfaces.
On the normal bundle of curves on smooth projective surfaces.