Some more examples of curves in P3 with stable normal bundle.
Some (non-)elimination results for curves in geometric structures
We show that the first order structure whose underlying universe is ℂ and whose basic relations are all algebraic subsets of ℂ² does not have quantifier elimination. Since an algebraic subset of ℂ² is either of dimension ≤ 1 or has a complement of dimension ≤ 1, one can restate the former result as a failure of quantifier elimination for planar complex algebraic curves. We then prove that removing the planarity hypothesis suffices to recover quantifier elimination: the structure with the universe...
Some p-adic Galois Representations for Curves in Characteristic p.
Some Plane Curves whose Complements have Non-abelian Fundamental Groups.
Some remarks on Set-theoretic Intersection Curves in
Motivated by the notion of Seshadri-ampleness introduced in [11], we conjecture that the genus and the degree of a smooth set-theoretic intersection should satisfy a certain inequality. The conjecture is verified for various classes of set-theoretic complete intersections.
Some remarks on the Severi varieties of surfaces in .
Some results on the existence of rank two special stable vector bundles.
Some Results on the Mordell-Weil Group of the Jacobian of the Fermat Curve.
Some Results on Unirationality of Algebraic Surfaces.
Some simple elliptic surfaces of genus zero.
Some stability properties of Teichmüller modular function fields with pro-l weight structures.
Some surfaces with maximal Picard number
For a smooth complex projective variety, the rank of the Néron-Severi group is bounded by the Hodge number . Varieties with have interesting properties, but are rather sparse, particularly in dimension . We discuss in this note a number of examples, in particular those constructed from curves with special Jacobians.
Sous-monoïdes d’intersection complète de
Sous-variétés spéciales des variétés de Prym
Special divisors on curves on a K3 surface.
Special effect varieties in higher dimension.
Here we introduce the concept of special effect varieties in higher dimension and we generalize to Pn, n ≥ 3, the two conjectures given in [2] for the planar case. Finally, we propose some examples on the product of projective spaces and we show how these results fit with the ones of Catalisano, Geramita and Gimigliano.
Special line bundles on curves with involution.
Special values of -functions attached to
Specializations of one-parameter families of polynomials
Let be a number field, and suppose is irreducible over . Using algebraic geometry and group theory, we describe conditions under which the -exceptional set of , i.e. the set of for which the specialized polynomial is -reducible, is finite. We give three applications of the methods we develop. First, we show that for any fixed , all but finitely many -specializations of the degree generalized Laguerre polynomial are -irreducible and have Galois group . Second, we study specializations...
Spectral curves and the generalised theta divisor.