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Stable reduction of three point covers

Stefan Wewers (2005)

Journal de Théorie des Nombres de Bordeaux

This note gives a survey of some recent results on the stable reduction of covers of the projective line branched at three points.

Stable twisted curves and their r -spin structures

Alessandro Chiodo (2008)

Annales de l’institut Fourier

The subject of this article is the notion of r -spin structure: a line bundle whose r th power is isomorphic to the canonical bundle. Over the moduli functor M g of smooth genus- g curves, r -spin structures form a finite torsor under the group of r -torsion line bundles. Over the moduli functor M ¯ g of stable curves, r -spin structures form an étale stack, but both the finiteness and the torsor structure are lost.In the present work, we show how this bad picture can be definitely improved just by placing...

Stable vector bundles over cuspidal cubics

Lesya Bodnarchuk, Yuriy Drozd (2003)

Open Mathematics

We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique of matrix problems is used, similar to [2, 3].

Strata of smooth space curves having unstable normal bundle

Luciana Ramella (1999)

Bollettino dell'Unione Matematica Italiana

Per d g , vengono trovate curve liscie in P 3 di grado d e genere g aventi fibrato normale instabile con grado di instabilità σ , per ogni 1 σ d - 4 . Inoltre per 4 g - 2 σ d - 4 , viene trovata una famiglia di curve in P 3 di grado d e genere g avente fibrato normale instabile con grado di instabilità σ e formante uno strato dello schema di Hilbert della giusta dimensione che è 4 d - g + 1 - 2 σ .

Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.

J. Huisman (1999)

Revista Matemática Complutense

We construct a global system of real analytic coordinates on the real Teichmüller space of a compact real algebraic curve X, using so-called strict uniformization of the real algebraic curve X. A global coordinate system is then obtained via real quasiconformal deformations of the Kleinian subgroup of PGL2(R) obtained as a group of covering transformations of a strict uniformization of X.

Structure du groupe de Grothendieck équivariant d’une courbe et modules galoisiens

Niels Borne (2002)

Bulletin de la Société Mathématique de France

Cet article est consacré à l’étude de la structure d’anneau du groupe de Grothendieck équivariant d’une courbe projective munie d’une action d’un groupe fini. On explicite cette structure en introduisant un groupe de classes de cycles à coefficients dans les caractères et une notion d’auto-intersection pour ces cycles. De ce résultat, on déduit une expression de la caractéristique d’Euler équivariante d’un G -faisceau.

Currently displaying 101 – 120 of 200