On limiting rational curves.
Xian Wu (1994)
Manuscripta mathematica
Herbert Popp (1973)
Inventiones mathematicae
Herbert Popp (1974)
Compositio Mathematica
Herbert Popp (1975)
Compositio Mathematica
Christoph Sorger (1999)
Annales scientifiques de l'École Normale Supérieure
Marcin Hauzer (2010)
Annales Polonici Mathematici
We describe some one-dimensional moduli spaces of rank 2 Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In the case of a nodal Enriques surface the moduli spaces obtained are reducible for general polarizations. For unnodal Enriques surfaces we show how to reduce the study of moduli spaces of high even rank Gieseker semistable sheaves to low ranks. To prove this we use the method of K. Yoshioka who showed that in the odd rank case, one can reduce to rank...
Iwona Grzegorczyk (1994)
Mathematische Annalen
T. Kambayashi (1979)
Inventiones mathematicae
Ulrich Karras (1980)
Mathematische Annalen
L. Brambila-Paz, E. Gómez-González, F. Pioli (2001)
Collectanea Mathematica
Edoardo Ballico, Philippe Ellia (1984/1985)
Mathematische Zeitschrift
Edoardo Ballico (1996)
Banach Center Publications
Here we give several examples of projective degenerations of subvarieties of . The more important case considered here is the d-ple Veronese embedding of ; we will show how to degenerate it to the union of n-dimensional linear subspaces of and the union of scrolls. Other cases considered in this paper are essentially projective bundles over important varieties. The key tool for the degenerations is a general method due to Moishezon. We will give elsewhere several applications to postulation...
Michael Kapovich, John J. Millson (1998)
Publications Mathématiques de l'IHÉS
Mustafa D. Kaba, Hurşit Önsiper (2007)
Acta Arithmetica
Maxim Leyenson (2012)
Open Mathematics
Let (S, H) be a polarized K3 surface. We define Brill-Noether filtration on moduli spaces of vector bundles on S. Assume that (c 1(E), H) > 0 for a sheaf E in the moduli space. We give a formula for the expected dimension of the Brill-Noether subschemes. Following the classical theory for curves, we give a notion of Brill-Noether generic K3 surfaces. Studying correspondences between moduli spaces of coherent sheaves of different ranks on S, we prove our main theorem: polarized K3 surface which...
G. Harder, M.S. Narasimhan (1974)
Mathematische Annalen
Edoardo Ballico (1994)
Forum mathematicum
Osamu Hyodo (1991)
Compositio Mathematica
Klaus Hulek (1981)
Journal für die reine und angewandte Mathematik
Konopelchenko, B.G. (2010)
Advances in Mathematical Physics