Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics T Darvas, Y Rubinstein Journal of the American Mathematical Society 30 (2), 347-387, 2017 | 169 | 2017 |
The Mabuchi geometry of finite energy classes T Darvas Advances in Mathematics 285, 182-219, 2015 | 169 | 2015 |
The Mabuchi completion of the space of Kähler potentials T Darvas American Journal of Mathematics 139 (5), 1275-1313, 2017 | 121* | 2017 |
Convexity of the extended K-energy and the large time behavior of the weak Calabi flow R Berman, T Darvas, C Lu Geometry & Topology 21 (5), 2945-2988, 2017 | 104 | 2017 |
Regularity of weak minimizers of the K-energy and applications to properness and K-stability RJ Berman, T Darvas, CH Lu ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 53 (2), 267-289, 2020 | 103* | 2020 |
Monotonicity of nonpluripolar products and complex Monge–Ampère equations with prescribed singularity T Darvas, E Di Nezza, CH Lu Analysis & PDE 11 (8), 2049-2087, 2018 | 89 | 2018 |
Weak geodesics in the space of Kahler metrics T Darvas, L Lempert Mathematical Research Letters 19 (5), 1127-1135, 2012 | 87 | 2012 |
Weak geodesic rays in the space of Kähler potentials and the class E(X,ω) T Darvas Journal of the Institute of Mathematics of Jussieu 16 (4), 837-858, 2017 | 76* | 2017 |
The metric geometry of singularity types T Darvas, E Di Nezza, HC Lu Journal für die reine und angewandte Mathematik (Crelles Journal) 2021 (771 …, 2021 | 60 | 2021 |
On the singularity type of full mass currents in big cohomology classes T Darvas, E Di Nezza, CH Lu Compositio Mathematica 154 (2), 380-409, 2018 | 59 | 2018 |
Geometric pluripotential theory on Kähler manifolds T Darvas Contemp. Math 735, 1-104, 2019 | 55* | 2019 |
Log-concavity of volume and complex Monge–Ampère equations with prescribed singularity T Darvas, E Di Nezza, CH Lu Mathematische Annalen 379, 95-132, 2021 | 53 | 2021 |
Kiselman's principle, the Dirichlet problem for the Monge–Ampère equation, and rooftop obstacle problems T Darvas, YA Rubinstein Journal of the Mathematical Society of Japan 68 (2), 773-796, 2016 | 42 | 2016 |
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry T Darvas, CH Lu Geometry & Topology 24 (4), 1907-1967, 2020 | 40* | 2020 |
metric geometry of big cohomology classes T Darvas, E Di Nezza, CH Lu Annales de l'Institut Fourier 68 (7), 3053-3086, 2018 | 39 | 2018 |
Morse theory and geodesics in the space of Kähler metrics T Darvas Proceedings of the American Mathematical Society 142 (8), 2775-2782, 2014 | 34 | 2014 |
Geodesic rays and Kähler–Ricci trajectories on Fano manifolds T Darvas, W He Transactions of the American Mathematical Society 369 (7), 5069-5085, 2017 | 31 | 2017 |
The closures of test configurations and algebraic singularity types T Darvas, M Xia Advances in Mathematics 397, 108198, 2022 | 30 | 2022 |
Quantization in geometric pluripotential theory T Darvas, CH Lu, YA Rubinstein Communications on Pure and Applied Mathematics 73 (5), 1100-1138, 2020 | 29 | 2020 |
Metric geometry of normal Kähler spaces, energy properness, and existence of canonical metrics T Darvas International Mathematics Research Notices 2017 (22), 6752-6777, 2017 | 23 | 2017 |