Linear systems with multiple base points in .
L'irrégularité des surfaces de type général dont le système canonique est composé d'un pinceau
Méthodes et résultats effectifs en géométrie algébrique
Minimal models of algebraic threefolds : Mori's program
Monodromy of a family of hypersurfaces
Let be an -dimensional irreducible smooth complex projective variety embedded in a projective space. Let be a closed subscheme of , and be a positive integer such that is generated by global sections. Fix an integer , and assume the general divisor is smooth. Denote by the quotient of by the cohomology of and also by the cycle classes of the irreducible components of dimension of . In the present paper we prove that the monodromy representation on for the family of smooth...
Multicanonical systems of elliptic surfaces in small characteristics
Multiple point Seshadri constants and the dimension of adjoint linear series
In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.
Multiplicieites of discriminants.
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.
O čtrnáctém Hilbertově problému
On a Geometric Interpretation of Multiplicity.
On a linearity criterion for algebraic systems of divisors on a projective variety
In the present paper, it is established in any characteristic the validity of a classical theorem of Enriques', stating the linearity of any algebraic system of divisors on a projective variety, which has index 1 and whose generic element is irreducible, as soon as its dimension is at least 2.
On a result of Farkas.