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| Title of object: |
divisor |
| Canonical Name: |
DivisorOnACurve |
| Type: |
Definition |
| Created on: |
2001-12-12 17:55:45-05 |
| Modified on: |
2002-09-21 19:04:59.676525-04 |
| Classification: |
msc:14C20 |
| Keywords: |
curve |
| Defines: |
degree |
| Synonyms: |
divisor=Weil divisor |
Revision comment (for changes between this and next version):
| trying to tweak appearance by removing amsfonts |
Preamble:
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Content:
A {\em divisor} $D$ on a projective nonsingular curve over an algebraically closed field is a formal sum of points $D = \sum n_p p$ where only finitely many of the $n_p\in\mathbb{Z}$ are nonzero.
The {\em degree} of a divisor $D$ is ${\rm deg}(D) = \sum n_p$. |
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