Linear systems, singularity and not too ramified morphisms
โ Scribed by Maria Luisa Spreafico
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 634 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0373-3114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Here we study the Brill-Noether theory of special linear systems on a singular Gorenstein bielliptic curve Y . Any such linear system is associated to a spanned rank 1 torsion-free sheaf, L. We obtain the same results as in the case of a smooth curve if either L โ Pic(Y ) or Y has only ordinary node
It is demonstrated for a time-invariant linear optical system that there exists a definite connection between the optical vortices (phase singularities of the field amplitude) which appear when it is illuminated by spatially coherent light and the coherence vortices (phase singularities of the field