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- Publisher
- Springer Journals
- Copyright
- Copyright © 2001 by Kluwer Academic Publishers
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1023/A:1010628724686
- Publisher site
- See Article on Publisher Site
Abstract
Recently, Lomadze, Ravi, Rosenthal and Schumacher gave a natural and geometrically meaningful one-to-one correspondence between abstract linar behaviors and coherent sheaves on P 1. Motivated by their result, here we give a complete picture of the deformation theory of coherent sheaves on P 1. We use our results to study deformations over the field R obtaining a connectedness result for the real locus of the algebraic parameter spaces.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 19, 2004