Results 41 to 50 of about 1,088 (107)
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
Abundance for varieties with many differential forms
, 2018 We prove that the abundance conjecture holds on a variety $X$ with mild singularities if $X$ has many reflexive differential forms with coefficients in pluricanonical bundles, assuming the Minimal Model Program in lower dimensions.
Lazić, Vladimir, Peternell, Thomas
core +1 more source
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
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 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
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
The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]
Milan J Math, 2022 Bottini A.
europepmc +1 more source
BCOV invariants of Calabi--Yau manifolds and degenerations of Hodge structures
, 2019 Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), it is expected that genus 1 curve counting on a Calabi--Yau manifold is ...
Eriksson, Dennis +2 more
core
Playing With the Index of M-Theory. [PDF]
Commun Math Phys, 2022 Del Zotto M +3 more
europepmc +1 more source