The projectivity of the moduli space of stable curves, II: The stacks M...
Finn F. Knudsen (1983)
Mathematica Scandinavica
Finn F. Knudsen (1983)
Mathematica Scandinavica
N. I. Shepherd-Barron (1988)
Compositio Mathematica
Knud Lonsted (1984)
Mathematische Annalen
Anca M. Mustaţǎ, Andrei Mustaţǎ (2012)
Journal of the European Mathematical Society
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...
Mehdi Tavakol (2011)
Annales de l’institut Fourier
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.
Masaaki Homma (1983)
Mathematische Zeitschrift
Shigeaki Tsuyumine (1991)
Mathematische Zeitschrift
Emilia Mezzetti, Dario Portelli (1996)
Manuscripta mathematica
David A. Cox, Walter R. Parry (1980)
Compositio Mathematica
Franck Leprévost (1992)
Manuscripta mathematica
Johnsen, Trygve, Kleiman, Steven (1997)
Serdica Mathematical Journal
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...
Andrei Duma, Wolfgang Radtke (1983)
Manuscripta mathematica
H. Lange (1975)
Journal für die reine und angewandte Mathematik
Herbert Lange (1976)
Journal für die reine und angewandte Mathematik
Frank Herrlich (1981)
Mathematische Zeitschrift
Brill (1874)
Mathematische Annalen
in Erlangen Noether (1880)
Mathematische Annalen
Robert Fricke (1894)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Daniel Perrin (2001)
Collectanea Mathematica
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.