|
| | | | |
| | | |
| Stat |
Members: 3644
Articles: 2'499'343
Articles rated: 2609
17 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Algebraic deRham cohomology of log-Riemann surfaces of finite type | | Kingshook Biswas
; | | Date: |
26 Feb 2016 | | Abstract: | Log-Riemann surfaces of finite type are Riemann surfaces with finitely
generated fundamental group equipped with a local diffeomorphism to C such that
the surface has finitely many infinite order ramification points. We define and
prove nondegeneracy of a period pairing for log-Riemann surfaces of finite
type, given by pairing differentials with finitely many exponential
singularities, of the form g exp(int R_0) dz (where g, R_0 are meromorphic
functions on a compact Riemann surface, with R_0 fixed) with closed curves and
curves joining infinite order ramification points. As a consequence we show
that the dimension of a cohomology group (given by differentials with
exponential singularities of fixed type, modulo differentials of functions with
exponential singularities of the same fixed type) is finite, equal to (2g + #R
+ (n-1)), where g is the genus of the compact Riemann surface, R is the set of
infinite order ramification points, and n the number of exponential
singularities. | | Source: | arXiv, 1602.8219 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER