On different notions of tameness in arithmetic geometry

By M. Kerz, Alexander Schmidt. 2008

92 citations recorded by the source corpus.

The notion of a tamely ramified covering is canonical only for curves. Several notions of tameness for coverings of higher dimensional schemes have been used in the literature. We show that all these definitions are essentially equivalent. Furthermore, we prove finiteness theorems for the tame fundamental groups of arithmetic schemes.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8c87ae9302503ee53be831a63366800867ce2eef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. M. Kerz
2. O. Fujino
3. Karl Schwede

In Computational Theory and Mathematics

1. M. Kerz
2. H. Esnault

In Geometry and Topology

1. M. Kerz
2. H. Esnault
3. O. Fujino
4. L. Illusie
5. Karl Schwede
6. O. Rondigs
7. P. Ostvaer
8. Carlos Simpson

Citations in the corpus

• A FINITENESS THEOREM FOR GALOIS REPRESENTATIONS OF FUNCTION FIELDS OVER FINITE FIELDS (AFTER DELIGNE) (2012, background): “For D = 0 this equivalence is shown in [26] relying on [36].”