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(1974)
Cubic Forms
- Publisher
- Springer Journals
- Copyright
- Copyright © 2006 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-006-0941-y
- Publisher site
- See Article on Publisher Site
Abstract
The parametric degree of a rational surface is the degree of the polynomials in the smallest possible proper parametrization. An example shows that the parametric degree is not a geometric but an arithmetic concept, in the sense that it depends on the choice of the ground field. In this paper, we introduce two geometric invariants of a rational surface, namely level and keel. These two numbers govern the parametric degree in the sense that there exist linear upper and lower bounds.
Journal
Mathematische Zeitschrift – Springer Journals
Published: Mar 28, 2006