Strata of rational space curves
Amherst College Digital Collections > The Octagon
| Creator | Cox, David A. (Department of Mathematics and Statistics, Amherst College) |
|---|---|
| Creator | Iarrobino, Anthony A. (Anthony Ayers), 1943- (Department of Mathematics, Northeastern University) |
| Title | Strata of rational space curves |
| Abstract | The μ-invariant image of a rational space curve gives important information about the curve. In this paper, we describe the structure of all parameterizations that have the same μ-type, what we call a μ-stratum, and as well the closure of strata. Many of our results are based on papers by the second author that appeared in the commutative algebra literature. We also present new results, including an explicit formula for the codimension of the locus of non-proper parametrizations within each μ-stratum and a decomposition of the smallest μ-stratum based on which two-dimensional rational normal scroll the curve lies on. |
| Journal Title | Computer Aided Geometric Design |
| Publication Date | January 1, 2015 |
| Identifier (DOI) | 10.1016/j.cagd.2014.11.004 |
| Citation | Cox, David A., and Anthony A. Iarrobino. “Strata of rational space curves.” Computer Aided Geometric Design 32 (2015): 50–68. |
| Languages | English |
| Genre | Article |
| Subject | Geometry, Algebraic |
| Subject | Commutative algebra |
| Part of | The Amherst College Octagon |
| Repository | The Amherst College Octagon |
| Access and Use | Creative Commons Attribution-NonCommercial-NoDerivatives license (CC BY NC ND 4.0) |