Plane curves of minimal degree with prescribed singularities
✍ Scribed by Gert-Martin Greuel; Christoph Lossen; Eugenii Shustin
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 495 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
## Abstract This is the first in a series of papers on minimal‐energy splines. The paper is devoted to plane minimal‐energy splines with angle constraints. We first consider minimal‐energy spline segments, then general minimal‐energy spline curves. We formulate problems for minimal‐energy spline se
## Abstract Let __C__ be a smooth irreducible projective curve of genus __g__ > 0 and __s~C~__ (2) the minimal degree of plane models of __C__. Clearly, __s~C~__ (2) ≤ __g__ + 2. Our main result is: __s~C~__ (2) = __g__ + 2 – __t__ (for some integer __t__ ≥ 0) implies that __C__ is a double cover o