particular importance for the case of Fano varieties, where it is the correct stability condition to allow the formation of moduli spaces, and where it precisely...
64 KB (9,356 words) - 01:56, 6 January 2024
study of K-stability of Fano varieties. The fundamental example of Fano varieties are the projective spaces: the anticanonical line bundle of Pn over...
10 KB (1,250 words) - 04:46, 10 March 2024
Chenyang Xu (category Massachusetts Institute of Technology School of Science faculty)
in birational geometry, the minimal model program, and the K-stability of Fano varieties. After completing his PhD doctorate at Princeton under János...
5 KB (366 words) - 00:59, 11 April 2024
invariant theory (GIT) stability. In the special case of Fano varieties, K-stability precisely characterises the existence of Kähler–Einstein metrics...
53 KB (8,333 words) - 06:23, 26 March 2024
study of K-stability of Fano varieties through general existence results for Kähler–Einstein metrics, in the development of explicit invariants of Fano varieties...
20 KB (2,684 words) - 22:32, 2 January 2024
Mabuchi functional (redirect from K-energy functional)
the study of K-stability of Fano varieties, particularly in settings with singularities. The Mabuchi functional is defined on the space of Kähler potentials...
6 KB (937 words) - 21:40, 23 June 2023
Geometric invariant theory (section Stability)
Quantization commutes with reduction K-stability K-stability of Fano varieties Bridgeland stability condition Stability (algebraic geometry) Deligne, Pierre;...
17 KB (2,272 words) - 02:27, 26 December 2023
Robert J. Berman (category Academic staff of the Chalmers University of Technology)
Prize in 2017. Berman is known for his constributions to the K-stability of Fano varieties. "Robert J. Berman". chalmers.se. Retrieved April 24, 2017....
1 KB (53 words) - 00:27, 10 September 2023
Simon Donaldson (redirect from S. K. Donaldson)
geometry and in global differential geometry, both for bundles and for Fano varieties." In January 2019, he was awarded the Oswald Veblen Prize in Geometry...
22 KB (2,036 words) - 01:14, 23 May 2024
Sébastien Boucksom (category Academic staff of École Polytechnique)
manifolds have been very influential in the study of K-stability of Fano varieties. In 2014 the French Academy of Sciences awarded him the Prix Paul Doistau–Émile...
6 KB (630 words) - 02:58, 11 December 2023