Results 1 to 10 of about 1,174 (55)
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
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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 +2 more
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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 +2 more
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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 +12 more
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Valuations and plurisubharmonic singularities
, 2007 We extend to higher dimensions some of the valuative analysis of singularities of plurisubharmonic (psh) functions developed by the last two authors. Following Kontsevich and Soibelman we describe the geometry of the space V of all normalized valuations ...
Boucksom, Sebastien +2 more
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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
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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
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Uniform K-stability and asymptotics of energy functionals in K\"ahler geometry
, 2018 Consider a polarized complex manifold (X,L) and a ray of positive metrics on L defined by a positive metric on a test configuration for (X,L). For most of the common functionals in K\"ahler geometry, we prove that the slope at infinity along the ray is ...
Boucksom, Sébastien +2 more
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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.
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Singular semipositive metrics in non-Archimedean geometry
, 2014 Let X be a smooth projective Berkovich space over a complete discrete valuation field K of residue characteristic zero, endowed with an ample line bundle L.
Boucksom, S., Favre, C., Jonsson, M.
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