Displaying 81 – 100 of 807

Showing per page

Semistability of Frobenius direct images over curves

Vikram B. Mehta, Christian Pauly (2007)

Bulletin de la Société Mathématique de France

Let X be a smooth projective curve of genus g 2 defined over an algebraically closed field k of characteristic p > 0 . Given a semistable vector bundle  E over X , we show that its direct image F * E under the Frobenius map F of X is again semistable. We deduce a numerical characterization of the stable rank- p vector bundles  F * L , where L is a line bundle over X .

Semistable reduction and torsion subgroups of abelian varieties

Alice Silverberg, Yuri G. Zarhin (1995)

Annales de l'institut Fourier

The main result of this paper implies that if an abelian variety over a field F has a maximal isotropic subgroup of n -torsion points all of which are defined over F , and n 5 , then the abelian variety has semistable reduction away from n . This result can be viewed as an extension of Raynaud’s theorem that if an abelian variety and all its n -torsion points are defined over a field F and n 3 , then the abelian variety has semistable reduction away from n . We also give information about the Néron models...

Separating ideals in dimension 2.

James J. Madden, Niels Schwartz (1997)

Revista Matemática de la Universidad Complutense de Madrid

Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.

Separation of global semianalytic sets

Hamedou Diakite (2009)

Annales Polonici Mathematici

Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.

Currently displaying 81 – 100 of 807