Borel fixed-point theorem
- Borel fixed-point theorem
In mathematics, the Borel fixed-point theorem is a fixed-point theorem in algebraic geometry. The result was proved by the Swiss mathematician Armand Borel in 1956.
tatement of the theorem
Let "G" be a connected, solvable algebraic group acting regularly on a non-empty, complete algebraic variety "V" over an algebraically closed field "k". Then "G" has a fixed point in "V".
References
* cite journal
last = Borel
first = Armand
title = Groupes linéaires algébriques
journal = Ann. of Math. (2)
year = 1956
pages = 20–82
issn = 0003-486X
volume = - 64
doi = 10.2307/1969949 MathSciNet|id=0093006
External links
*
Wikimedia Foundation.
2010.
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