The gonality of general smooth curves with a prescribed plane nodal model.
Marc Coppens (1991)
Mathematische Annalen
Takao Kato, Marc Coppens (1991)
Manuscripta mathematica
J. Weyman (1998)
Colloquium Mathematicae
Bernhard Köck (1998)
Annales scientifiques de l'École Normale Supérieure
Mark Andrea A de Cataldo, Luca Migliorini (2002)
Annales scientifiques de l'École Normale Supérieure
Salvatore Giuffrida (1989)
Manuscripta mathematica
William F. Hammond (1973)
Mathematische Annalen
Jan O. Kleppe (2012)
Annales de l’institut Fourier
We consider the Hilbert scheme of space curves with homogeneous ideal and Rao module . By taking suitable generizations (deformations to a more general curve) of , we simplify the minimal free resolution of by e.g making consecutive free summands (ghost-terms) disappear in a free resolution of . Using this for Buchsbaum curves of diameter one ( for only one ), we establish a one-to-one correspondence between the set of irreducible components of that contain and a set of minimal...
Jan Oddvar Kleppe (2006)
Annales de l’institut Fourier
This paper studies space curves of degree and arithmetic genus , with homogeneous ideal and Rao module , whose main results deal with curves which satisfy (e.g. of diameter, ). For such curves we find necessary and sufficient conditions for unobstructedness, and we compute the dimension of the Hilbert scheme, , at under the sufficient conditions. In the diameter one case, the necessary and sufficient conditions coincide, and the unobstructedness of turns out to be equivalent to the...
Scott Nollet (1997)
Annales scientifiques de l'École Normale Supérieure
Ross, Joseph (2011)
Documenta Mathematica
James D. Lewis (1984)
Mathematische Annalen
Steven Zucker (1977)
Compositio Mathematica
Tetsuji Shioda (1979)
Mathematische Annalen
A. Conte, J.P. Murre (1978)
Mathematische Annalen
Kieran G. O'Grady (1985/1986)
Mathematische Annalen
Mark Andrea A. de Cataldo, Luca Migliorini (2005)
Annales scientifiques de l'École Normale Supérieure
Michele Rossi (1996)
Manuscripta mathematica
Hubert Flenner (1986)
Mathematische Zeitschrift
U. STERZ, K. DRECHSLER (1991)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry