Results 41 to 50 of about 91,268 (87)
Integrability of Einstein deformations and desingularizations
Communications 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
Deformation finiteness for real hyperkähler manifolds
, 2006 6 pagesWe show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkähler manifolds is ...
Itenberg, Ilia +2 more
core +1 more source
One‐dimensional local families of complex K3 surfaces
Bulletin 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
Any Component Of Moduli Of Polarized Hyperkähler Manifolds Is Dense In Its Deformation Space
, 2015 Let M be a compact hyperkähler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in H2(M) defines a divisor Dv in W consisting of all algebraic manifolds polarized by v. We prove that every connected component
Verbitsky, M +3 more
core +1 more source
Evanescent ergosurfaces and ambipolar hyperkähler metrics [PDF]
, 2016 A supersymmetric solution of 5d supergravity may admit an ‘evanescent ergosurface’: a timelike hypersurface such that the canonical Killing vector field is timelike everywhere except on this hypersurface.
Reall, Harvey Stephen +1 more
core +4 more sources
Algorithms for computing normally hyperbolic invariant manifolds [PDF]
, 1997 An effcient algorithm is developed for the numerical computation of normally hyperbolic invariant manifolds, based on the graph transform and Newton's method.
Vegter, G., +10 more
core +2 more sources
Modular frobenius manifolds and their invariant flows [PDF]
, 2010 The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan +3 more
core +1 more source
Dubrovin's duality for F-manifolds with eventual identities [PDF]
, 2011 A vector field <i>E</i> on an <i>F</i>-manifold (M, o, e) is an eventual identity if it is invertible and the multiplication X*Y := X o Y o E^{-1} defines a new F-manifold structure on <i>M</i>.
Ian A.B. Strachan +3 more
core +1 more source
Fully non-linear elliptic equations on compact hyperkähler manifolds [PDF]
We consider a general class of elliptic equations on hypercomplex manifolds which includes the quaternionic Monge-Ampère equation, the quaternionic Hessian equation and the Monge-Ampère equation for quaternionic $(n-1)$-plurisubharmonic functions.
Vezzoni, Luigi, Gentili, Giovanni
core +1 more source
On Classifying HyperKähler Kummer 8-Orbifolds [PDF]
HyperKähler spaces, including manifolds, orbifolds and conical singularities play an important role in superstring/$M$-theory and gauge theories as well as in differential and algebraic geometry.
Acharya, Bobby Samir +1 more
core +2 more sources