Results 111 to 120 of about 257,749 (139)

Rational Curves and MBM Classes on Hyperkähler Manifolds: A Survey

Rationality of Varieties, 2020
This paper deals with rational curves and birational contractions on irreducible holomorphically symplectic manifold. We survey some recent results about minimal rational curves, their deformations, extremal rays associated with these curves, and the ...
E. Amerik, M. Verbitsky
semanticscholar   +1 more source

A compactness theorem for hyperkähler 4-manifolds with boundary

Duke mathematical journal, 2022
In this paper, we study the compactness of a boundary value problem for hyperkaehler 4-manifolds. We show that under certain topological conditions and the positive mean curvature condition on the boundary, a sequence of hyperkaehler triples converges ...
Hongying Liu
semanticscholar   +1 more source

Finiteness of Klein actions and real structures on compact hyperkähler manifolds

Mathematische Annalen, 2018
One central problem in real algebraic geometry is to classify the real structures of a given complex manifold. We address this problem for compact hyperkähler manifolds by showing that any such manifold admits only finitely many real structures up to ...
A. Cattaneo, L. Fu
semanticscholar   +1 more source

Contraction centers in families of hyperkähler manifolds

Selecta Mathematica, 2019
We study the exceptional loci of birational (bimeromorphic) contractions of a hyperkähler manifold M. Such a contraction locus is the union of all minimal rational curves in a collection of cohomology classes which are orthogonal to a wall of the Kähler ...
E. Amerik, M. Verbitsky
semanticscholar   +1 more source

Errata for “Mapping class group and a global Torelli theorem for hyperkähler manifolds” by Misha Verbitsky

Duke mathematical journal, 2020

semanticscholar   +1 more source

K-Theory of Toric HyperKähler Manifolds

Indian journal of pure and applied mathematics, 2020
V. Uma
semanticscholar   +1 more source

Negative Rational Curves and Their Deformations on Hyperkähler Manifolds

, 2020
E. Amerik
semanticscholar   +1 more source

Riemann-Roch polynomials of the known hyperkähler manifolds

Bulletin de la Société Mathématique de France
Ángel David Ríos Ortiz
semanticscholar   +1 more source

Hidden $${\text {Sp}}(1)$$-Symmetry and Brane Quantization on HyperKähler Manifolds

Communications in Mathematical Physics
N. Leung, Y. Yau
semanticscholar   +1 more source

The parabolic quaternionic Calabi–Yau equation on hyperkähler manifolds

Revista matemática iberoamericana
Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni   +2 more
semanticscholar   +1 more source