Results 41 to 50 of about 1,101 (109)

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

Morse Theory for the Space of Higgs Bundles

, 2008
Here we prove the necessary analytic results to construct a Morse theory for the Yang-Mills-Higgs functional on the space of Higgs bundles over a compact Riemann surface.
Wilkin, Graeme
core   +2 more sources

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

Tensionless Strings and Supersymmetric Sigma Models: Aspects of the Target Space Geometry [PDF]

, 2006
In this thesis, two aspects of string theory are discussed, tensionless strings and supersymmetric sigma models. The equivalent to a massless particle in string theory is a tensionless string.
Bredthauer, Andreas
core   +1 more source

Integral cohomology of the Generalized Kummer fourfold

, 2017
We describe the integral cohomology of the Generalized Kummer fourfold giving an explicit basis, using Hilbert scheme cohomology and tools developed by Hassett and Tschinkel.
Kapfer, Simon, Menet, Grégoire
core   +2 more sources

Systems of symplectic forms on four-manifolds [PDF]

, 2012
We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we
Chiossi, SImon G., Nagy, Paul-Andi
core   +1 more source

The algebra of parallel endomorphisms of a germ of pseudo-Riemannian metric

, 2015
On a (pseudo-)Riemannian manifold (M,g), some fields of endomorphisms i.e. sections of End(TM) may be parallel for g. They form an associative algebra A, which is also the commutant of the holonomy group of g.
Boubel, Charles
core   +1 more source

Hyper-K\"ahler Fourfolds Fibered by Elliptic Products

, 2018
Every fibration of a projective hyper-K\"ahler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a
Kamenova, Ljudmila
core   +1 more source

The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]

Milan J Math, 2022
Bottini A.
europepmc   +1 more source

Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type [PDF]

, 2022
Mauro Varesco
openalex   +1 more source