Results 1 to 10 of about 29 (29)
Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj +1 more source
Moduli spaces of stably irreducible sheaves on Kodaira surfaces
Complex Manifolds, 2023 Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known how they would fit into a possible classification of holomorphic ...
Boulter Eric
doaj +1 more source
CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group.
Indranil Biswas +2 more
doaj +1 more source
OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES
Forum of Mathematics, Sigma, 2019 Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
doaj +1 more source
Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Complex Manifolds, 2015 In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Ermakova Svetlana
doaj +1 more source
Group actions, non-Kähler complex manifolds and SKT structures
Complex Manifolds, 2018 We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions.
Poddar Mainak, Thakur Ajay Singh
doaj +1 more source
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Open Mathematics, 2014 Biswas Indranil, Teleman Andrei
doaj +1 more source
Affine compact almost-homogeneous manifolds of cohomogeneity one
Open Mathematics, 2009 Guan Daniel
doaj +1 more source
Stable bundles on hypercomplex surfaces
Open Mathematics, 2010 Moraru Ruxandra, Verbitsky Misha
doaj +1 more source
Some of the next articles are maybe not open access.