Algebraic uniqueness of Kähler–Ricci flow limits and optimal degenerations of Fano varieties [PDF]
We prove that for any $\mathbb{Q}$-Fano variety $X$, the special $\mathbb{R}$-test configuration that minimizes the $H$-functional is unique and has a K-semistable $\mathbb{Q}$-Fano central fibre $(W, \xi)$.
Jiyuan Han, Chi Li
semanticscholar +1 more source
Uniqueness of compact ancient solutions to three-dimensional Ricci flow [PDF]
In this paper, we study the classification of κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
S. Brendle, P. Daskalopoulos, N. Šešum
semanticscholar +1 more source
Combining ligand‐based and structure‐based methodologies, the applied virtual screening approach identified a collection of sulfonamides targeting the human carbonic anhydrase (hCA) VA isoform. 2‐(3,4‐Dihydro‐2H‐quinolin‐1‐yl)‐N‐(4‐sulfamoylphenyl)acetamide was identified as a potent and selective lead compound as a candidate for further exploitation ...
Laura De Luca+4 more
wiley +1 more source
Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions [PDF]
We extend the second part of \cite{Bre18} on the uniqueness of ancient $\kappa$-solutions to higher dimensions. We show that for dimensions $n \geq 4$ every noncompact, nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and ...
S. Brendle, Keaton Naff
semanticscholar +1 more source
Retesting estrogen receptor and HER2 status provides more clinical benefit than retesting progesterone receptor status. We propose guidelines for retesting receptor profiles to aid patient care management decisions, prioritize clinical benefits, and minimize healthcare costs.
Jessica A. Slostad+5 more
wiley +1 more source
Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm+2 more
wiley +4 more sources
The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj +1 more source
The Ricci flow on a cylinder [PDF]
En este artículo estudiamos el flujo de Ricci en superficies homeomorfas al cilindro (esto es, el producto de un círculo con un intervalo compacto). Al respecto, demostramos teoremas de existencia para todo tiempo de las soluciones asumiendo cierta simetría, teoremas sobre comportamiento asintótico, y reportamos un fenómeno interesante: la convergencia
CORTISSOZ, JEAN C., MURCIA, ALEXANDER
openaire +4 more sources
Pluripotential Kähler–Ricci flows [PDF]
We develop a parabolic pluripotential theory on compact K{ }hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{ }re equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the K{ }hler-Ricci flow on varieties with log terminal singularities.
Guedj, Vincent+2 more
openaire +7 more sources
Perelman’s Ricci Flow in topological quantum gravity [PDF]
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the localization equations in the path integral.
A. Frenkel+2 more
semanticscholar +1 more source