Uniform K-stability, Duistermaat–Heckman measures and singularities of pairs
S Boucksom, T Hisamoto, M Jonsson - Annales de l'Institut Fourier, 2017 - numdam.org
The purpose of this paper is to set up a formalism inspired by non-Archimedean geometry to
study K-stability. We first provide a detailed analysis of Duistermaat–Heckman measures in …
study K-stability. We first provide a detailed analysis of Duistermaat–Heckman measures in …
Valuations and asymptotic invariants for sequences of ideals
M Jonsson, M Mustaţă - Annales de l'Institut Fourier, 2012 - numdam.org
We study asymptotic jumping numbers for graded sequences of ideals, and show that every
such invariant is computed by a suitable real valuation of the function field. We conjecture …
such invariant is computed by a suitable real valuation of the function field. We conjecture …
Minimizing normalized volumes of valuations
C Li - Mathematische Zeitschrift, 2018 - Springer
Abstract For any Q Q-Gorenstein klt singularity (X, o), we introduce a normalized volume
function vol vol^ that is defined on the space of real valuations centered at o and consider …
function vol vol^ that is defined on the space of real valuations centered at o and consider …
Singular semipositive metrics in non-Archimedean geometry
S Boucksom, C Favre, M Jonsson - arXiv preprint arXiv:1201.0187, 2011 - arxiv.org
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. We introduce a general …
residue characteristic zero, endowed with an ample line bundle L. We introduce a general …
Dynamics on Berkovich spaces in low dimensions
M Jonsson - Berkovich spaces and applications, 2015 - Springer
These are expanded lecture notes for the summer school on Berkovich spaces that took
place at the Institut de Mathématiques de Jussieu, Paris, during June 28–July 9, 2010. They …
place at the Institut de Mathématiques de Jussieu, Paris, during June 28–July 9, 2010. They …
Stability of valuations and Kollár components
Stability of valuations and Kollár components Page 1 DOI 10.4171/JEMS/972 J. Eur. Math.
Soc. 22, 2573–2627 c European Mathematical Society 2020 Chi Li · Chenyang Xu Stability of …
Soc. 22, 2573–2627 c European Mathematical Society 2020 Chi Li · Chenyang Xu Stability of …
Minimal model program for semi-stable threefolds in mixed characteristic
T Takamatsu, S Yoshikawa - arXiv preprint arXiv:2012.07324, 2020 - arxiv.org
In this paper, we study the minimal model theory for threefolds in mixed characteristic. As a
generalization of a result of Kawamata, we show that the MMP holds for strictly semi-stable …
generalization of a result of Kawamata, we show that the MMP holds for strictly semi-stable …
Valuation spaces and multiplier ideals on singular varieties
S Boucksom, T De Fernex, C Favre… - Recent advances in …, 2015 - books.google.com
We generalize to all normal complex algebraic varieties the valuative characterization of
multiplier ideals due to Boucksom–Favre–Jonsson in the smooth case. To that end, we …
multiplier ideals due to Boucksom–Favre–Jonsson in the smooth case. To that end, we …
Building blocks of amplified endomorphisms of normal projective varieties
S Meng - Mathematische Zeitschrift, 2020 - Springer
Let X be a normal projective variety. A surjective endomorphism f: X → X f: X→ X is int-
amplified if f^* LL= H f∗ LL= H for some ample Cartier divisors L and H. This is a …
amplified if f^* LL= H f∗ LL= H for some ample Cartier divisors L and H. This is a …
A guided tour to normalized volume
A Guided Tour to Normalized Volume Page 1 Progress in Mathematics, Vol. 333, 167–219 A
Guided Tour to Normalized Volume Chi Li, Yuchen Liu and Chenyang Xu Dedicated to Gang …
Guided Tour to Normalized Volume Chi Li, Yuchen Liu and Chenyang Xu Dedicated to Gang …