Results 31 to 40 of about 261,915 (134)
Complete moduli of cubic threefolds and their intermediate Jacobians
Proceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021 Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin +3 more
wiley +1 more source
Instantons on hyperkähler manifolds [PDF]
Annali di Matematica Pura ed Applicata, 2018 An instanton ( E , D ) on a (pseudo-)hyperkähler manifold M is a vector bundle E associated with a principal G -bundle with a connection D whose curvature is pointwise invariant under the quaternionic structures of $$T_x M,~x\in M$$ T x M , x ∈ M , and ...
C. Devchand, M. Pontecorvo, A. Spiro
semanticscholar +2 more sources
Deformation Principle and André motives of Projective Hyperkähler Manifolds [PDF]
International mathematics research notices, 2019 Let $X_1$ and $X_2$ be deformation equivalent projective hyperkähler manifolds. We prove that the André motive of $X_1$ is abelian if and only if the André motive of $X_2$ is abelian. Applying this to manifolds of $\mbox {K3}^{[n]}$, generalized Kummer
A. Soldatenkov
semanticscholar +1 more source
M2-branes, Einstein manifolds and triple systems [PDF]
, 2009 This is the written version of a talk given on 1 July 2009 at the XXV Max Born Symposium: the Planck Scale, held in Wroclaw, Poland. I review the possible transverse geometries to supersymmetric M2-brane configurations and discuss the representation ...
Jerzy Kowalski-Glikman +3 more
core +3 more sources
Teichmüller spaces and Torelli theorems for hyperkähler manifolds [PDF]
Mathematische Zeitschrift, 2019 Kreck and Yang Su recently gave counterexamples to a version of the Torelli theorem for hyperkählerian manifolds as stated by Verbitsky. We extract the correct statement and give a short proof of it.
E. Looijenga
semanticscholar +1 more source
MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3${}^{[n]}$ type [PDF]
Algebraic Geometry, 2019 An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions.
E. Amerik, M. Verbitsky
semanticscholar +1 more source
Canonical complex extensions of Kähler manifolds
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020 Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
wiley +1 more source
A compactness theorem for Fueter sections
, 2017 We prove that a sequence of Fueter sections of a bundle of compact hyperkahler manifolds $\mathfrak X$ over a $3$-manifold $M$ with bounded energy converges (after passing to a subsequence) outside a $1$-dimensional closed rectifiable subset $S \subset M$
Walpuski, Thomas
core +1 more source
Compact Tori Associated to Hyperkähler Manifolds of Kummer Type [PDF]
International mathematics research notices, 2018 Dedicato alla piccola Mia. For $X$ a hyperkähler manifold of Kummer type, let $J^3(X)$ be the intermediate Jacobian associated to $H^3(X)$. We prove that $H^2(X)$ can be embedded into $H^2(J^3(X))$.
K. O’Grady
semanticscholar +1 more source
Twisted holomorphic symplectic forms
, 2015 We show that a compact Kahler manifold admitting a nondegenerate holomorphic 2-form valued in a line bundle is a finite cyclic cover of a hyperkahler manifold. With respect to the connection induced by the locally hyperkahler metric, the form is parallel.
Istrati, Nicolina
core +1 more source