scholarly journals The relative L2 index theorem for Galois coverings

2021 ◽  
Vol 6 (3) ◽  
pp. 503-541
Author(s):  
Moulay-Tahar Benameur
2000 ◽  
Vol 177 (1) ◽  
pp. 203-218 ◽  
Author(s):  
Tom M.W. Nye ◽  
Michael A. Singer

2016 ◽  
Vol 10 (1) ◽  
pp. 261-302 ◽  
Author(s):  
Alexander Gorokhovsky ◽  
Hitoshi Moriyoshi ◽  
Paolo Piazza

2001 ◽  
Vol 197 (2) ◽  
pp. 423-439 ◽  
Author(s):  
Thomas Schick

Author(s):  
Ehud Hrushovski ◽  
François Loeser

This chapter provides some background material on definable sets, definable types, orthogonality to a definable set, and stable domination, especially in the valued field context. It considers more specifically these concepts in the framework of the theory ACVF of algebraically closed valued fields and describes the definable types concentrating on a stable definable V as an ind-definable set. It also proves a key result that demonstrates definable types as integrals of stably dominated types along some definable type on the value group sort. Finally, it discusses the notion of pseudo-Galois coverings. Every nonempty definable set over an algebraically closed substructure of a model of ACVF extends to a definable type.


2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Makoto Sakamoto ◽  
Maki Takeuchi ◽  
Yoshiyuki Tatsuta
Keyword(s):  

1995 ◽  
Vol 168 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Gabino González-Diez

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