The projectivity of the moduli space of stable curves, II: The stacks M...
The projectivity of the moduli space of stable curves, III: The line bundles on M..., and a proof of the projectivity of M... in characteristic 0.
The rationality of some moduli spaces of plane curves
The Singular Points on the Moduli Spaces for Smooth Curves.
The structure of a local embedding and Chern classes of weighted blow-ups
For a proper local embedding between two Deligne-Mumford stacks and , we find, under certain mild conditions, a new (possibly non-separated) Deligne-Mumford stack , with an etale, surjective and universally closed map to the target , and whose fiber product with the image of the local embedding is a finite union of stacks with corresponding etale, surjective and universally closed maps to . Moreover, a natural set of weights on the substacks of allows the construction of a universally closed...
The tautological ring of
We describe the tautological ring of the moduli space of stable -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.
Theorem of Enrique-Petri Type for a Very Ample Invertible Sheaf on a Curve of Genus Three.
Thetanullwerte on a moduli space of curves and hyperelliptic loci.
Threefolds in P5 with a 3-dimensional family of plane curves.
Torsion in elliptic curves over
Torsion sur des familles de courbes de genre g.
Toward Clemens' Conjecture in Degrees between 10 and 24
1 Supported in part by the Norwegian Research Council for Science and the Humanities. It is a pleasure for this author to thank the Department of Mathematics of the University of Sofia for organizing the remarkable conference in Zlatograd during the period August 28-September 2, 1995. It is also a pleasure to thank the M.I.T. Department of Mathematics for its hospitality from January 1 to July 31, 1993, when this work was started. 2Supported in part by NSF grant 9400918-DMS.We introduce and study...
Über die Dimension des singulären Ortes des Modulraumes Mg.
Über die Modulschemata der Kurven vom Geschlecht 2 mit 1, 2 oder 3 Weierstraßpunkten.
Über die Modulvarietät der Kurven vom Geschlecht 2.
Über Singularitäten des Raumes der Schottky-Mumford-Kurven.
Ueber die algebraischen Functionen und ihre Anwendung in der Geometrie. (Zus. mit Nöther)
Ueber die invariante Darstellung algebraischer Functionen
Ueber die Moduln der algebraischen Gebilde.
Un pas vers la connexité du schéma de Hilbert: les courbes de Koszul sont dans la composante des extrémales.
The purpose of this paper is to study the connectedness of the Hilbert scheme H(d,g) of degree d and genus g curves (locally Cohen-Macaulay) in P3. Thanks to the method of triads, we show that a large class of curves (the curves whose Rao-module is Koszul, i.e. a complete intersection) are in the connected component of extremal curves. This generalizes widely several recent results.