Geometric class field theory

In mathematics, geometric class field theory is an extension of class field theory to higher-dimensional geometrical objects: much the same way as class field theory describes the abelianization of the Galois group of a local or global field, geometric class field theory describes the abelianized fundamental group of higher dimensional schemes in terms of data related to algebraic cycles.

## References

* Schmidt, Alexander (2015). "A survey on class field theory for varieties". Algorithmic arithmetic, geometry, and coding theory. Amer. Math. Soc.. pp. 301–306. ISBN 978-1-4704-1461-0.

0.00

(0 votes)

Original source: https://en.wikipedia.org/wiki/Geometric class field theory. Read more

|

Retrieved from "https://handwiki.org/wiki/index.php?title=Geometric_class_field_theory&oldid=178070"