Results 41 to 50 of about 257,749 (139)

Gravitational instantons with quadratic volume growth

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 4, April 2024.
Abstract There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG$\operatorname{ALG}$ and ALG∗$\operatorname{ALG}^*$. Gravitational instantons of type ALG$\operatorname{ALG}$ were previously classified by Chen–Chen.
Gao Chen, Jeff Viaclovsky
wiley   +1 more source

Limits of Riemannian 4‐manifolds and the symplectic geometry of their twistor spaces

open access: yesTransactions of the London Mathematical Society, Volume 4, Issue 1, Page 100-109, December 2017., 2017
Abstract The twistor space of a Riemannian 4‐manifold carries two almost complex structures, J+ and J−, and a natural closed 2‐form ω. This article studies limits of manifolds for which ω tames either J+ or J−. This amounts to a curvature inequality involving self‐dual Weyl curvature and Ricci curvature, and which is satisfied, for example, by all anti‐
Joel Fine
wiley   +1 more source

Cubic threefolds and hyperkähler manifolds uniformized by the 10-dimensional complex ball [PDF]

open access: yesMathematische Annalen, 2017
We first prove an isomorphism between the moduli space of smooth cubic threefolds and the moduli space of hyperkähler fourfolds of K3[2]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
S. Boissière, C. Camere, A. Sarti
semanticscholar   +1 more source

Closed 3‐forms in five dimensions and embedding problems

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 4, April 2024.
Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley   +1 more source

Integrability of Einstein deformations and desingularizations

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 177-220, January 2024.
Abstract We study the question of the integrability of Einstein deformations and relate it to the question of the desingularization of Einstein metrics. Our main application is a negative answer to the long‐standing question of whether or not every Einstein 4‐orbifold (which is an Einstein metric space in a synthetic sense) is limit of smooth Einstein ...
Tristan Ozuch
wiley   +1 more source

One‐dimensional local families of complex K3 surfaces

open access: yesBulletin of the London Mathematical Society, Volume 56, Issue 1, Page 296-305, January 2024.
Abstract For any complex K3 surface X$X$, we construct a one‐dimensional deformation in which all integers ρ$\rho$ with 0⩽ρ⩽20$0 \leqslant \rho \leqslant 20$ occur as Picard numbers of some fibres. In contrast, we prove that the generic one‐dimensional local family of K3 surfaces admits only 0 and 1 as Picard numbers of the fibres.
Riccardo Carini, Francesco Viganò
wiley   +1 more source

Collapsing hyperkähler manifolds [PDF]

open access: yes, 2017
Given a projective hyperkahler manifold with a holomorphic Lagrangian fibration, we prove that hyperkahler metrics with volume of the torus fibers shrinking to zero collapse in the Gromov-Hausdorff sense (and smoothly away from the singular fibers) to a ...
Valentino Tosatti, Yuguang Zhang
semanticscholar   +1 more source

Parabolic automorphisms of hyperkähler manifolds [PDF]

open access: yesJournal des Mathématiques Pures et Appliquées, 2021
E. Amerik, M. Verbitsky
semanticscholar   +1 more source

Lagrangian Fibrations. [PDF]

open access: yesMilan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

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