Results 1 to 10 of about 1,140 (37)

Notes on extremal and tame valued fields [PDF]

, 2016
We extend the characterization of extremal valued fields given in [2] to the missing case of valued fields of mixed characteristic with perfect residue field. This leads to a complete characterization of the tame valued fields that are extremal.
Engler, Eršov, Fried, JIZHAN HONG
core   +2 more sources

A variational approach to the Yau-Tian-Donaldson conjecture

, 2020
We give a variational proof of a version of the Yau-Tian-Donaldson conjecture for twisted K\"ahler-Einstein currents, and use this to express the greatest (twisted) Ricci lower bound in terms of a purely algebro-geometric stability threshold.
Berman, Robert, Boucksom, Sébastien, Jonsson, Mattias   +2 more
core   +3 more sources

Tame class field theory for arithmetic schemes [PDF]

, 2004
We extend the unramified class field theory for arithmetic schemes of K. Kato and S. Saito to the tame case. Let $X$ be a regular proper arithmetic scheme and let $D$ be a divisor on $X$ whose vertical irreducible components are normal schemes. Theorem:
Alexander Schmidt, Bass, Bloch, Coombes, Kato, Kato, Lang, Levine, Moore, Saito, Schmidt, Schmidt, Snaith   +12 more
core   +3 more sources

The congruence subgroup problem [PDF]

, 2003
This is a short survey of the progress on the congruence subgroup problem since the sixties when the first major results on the integral unimodular groups appeared.
A A Kazhdan, A Bak, A Bak, A Borel, A Borel, A Borel, A Lubotzky, A S Rapinchuk, A S Rapinchuk, A S Rapinchuk, A S Rapinchuk, A S Rapinchuk, B Kostant, B Sury, C C Moore, C C Moore, C Chevalley, C Chevalley, C T C Wall, D A Kazhdan, D A Kazhdan, D Segal, D Toledo, F Bruhat, G A Margulis, G A Margulis, G A Margulis, G A Margulis, G A Margulis, G Harder, G Prasad, G Prasad, G Prasad, G Prasad, G Prasad, G Prasad, G Tomanov, G Tomanov, H Bass, H Bass, H Matsumoto, J Birtto, J Dieudonné, J Mennicke, J Mennicke, J Millson, J Millson, J Tits, J Tits, J-P Serre, J-P Serre, J-P Serre, J-P Serre, J-S Li, K Corlette, L Vaserstein, M Kneser, M Kneser, M S Raghunathan, M S Raghunathan, M S Raghunathan, M S Raghunathan, M S Raghunathan, M S Raghunathan, M V Borovoi, M. S. Raghunathan, P Deligne, R Fricke, R G Swan, S P Wang, T N Venkataramana, T N Venkataramana, V P Platonov, V P Platonov, V P Platonov, V P Platonov, V P Platonov, V V Deodhar, V ĉernusov, Y Segev   +79 more
core   +3 more sources

Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs [PDF]

, 2016
The purpose of the present paper is to set up a formalism inspired from non-Archimedean geometry to study K-stability. We first provide a detailed analysis of Duistermaat-Heckman measures in the context of test configurations, characterizing in ...
Boucksom, Sébastien, Hisamoto, Tomoyuki, Jonsson, Mattias   +2 more
core   +3 more sources

Higher class field theory and the connected component [PDF]

, 2008
. In this note we present a new self-contained approach to the class field theory of arithmetic schemes in the sense of Wiesend. Along the way we prove new results on space filling curves on arithmetic schemes and on the class field theory of local rings.
Kerz, Moritz
core   +2 more sources

Weight functions on non-archimedean analytic spaces and the Kontsevich-Soibelman skeleton

, 2013
We associate a weight function to pairs consisting of a smooth and proper variety X over a complete discretely valued field and a differential form on X of maximal degree.
Mustata, Mircea, Nicaise, Johannes
core   +1 more source

Poles of maximal order of motivic zeta functions [PDF]

, 2015
We prove a 1999 conjecture of Veys, which says that the opposite of the log canonical threshold is the only possible pole of maximal order of Denef and Loeser's motivic zeta function associated with a germ of a regular function on a smooth variety over a
Nicaise, Johannes, Xu, Chenyang
core   +1 more source

Rational Connectivity and Analytic Contractibility

, 2016
Let k be an algebraically closed field of characteristic 0, and let f be a morphism of smooth projective varieties from X to Y over the ring k((t)) of formal Laurent series.
Brown, Morgan, Foster, Tyler
core   +1 more source

Representation Growth of Linear Groups

, 2008
Let $\Gamma$ be a group and $r_n(\Gamma)$ the number of its $n$-dimensional irreducible complex representations. We define and study the associated representation zeta function $\calz_\Gamma(s) = \suml^\infty_{n=1} r_n(\Gamma)n^{-s}$. When $\Gamma$ is an
Larsen, M., Lubotzky, A.
core   +1 more source