Namespaces
Variants
Actions

Branch index

From Encyclopedia of Mathematics
Revision as of 17:04, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The sum of the orders of the branch points (cf. Branch point) of a compact Riemann surface , regarded as an -sheeted covering surface over the Riemann sphere, extended over all finite and infinitely-distant branch points of . The branch index is connected with the genus and number of sheets of by:

See also Riemann surface.

References

[1] G. Springer, "Introduction to Riemann surfaces" , Addison-Wesley (1957) pp. Chapt.10


Comments

References

[a1] D. Mumford, "Algebraic geometry" , 1. Complex projective varieties , Springer (1976)
How to Cite This Entry:
Branch index. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Branch_index&oldid=23771
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article