On generalized albanese varieties for surfaces

Önsiper, Hurşit
Mathematical Proceedings of the Cambridge Philosophical Society


On equivariant Serre problem for principal bundles
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01)
Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
On symplectic quotients of K3 surfaces
Cinkir, Z; Onsiper, H (Elsevier BV, 2000-12-18)
In this note, we construct generalized Shioda-Inose structures on K3 surfaces using cyclic covers and almost functoriality of Shioda-Inose structures with respect to normal subgroups of a given group of symplectic automorphisms.
On degenerations of fiber spaces of curves of genus >=2
Onsiper, H; Sertoz, S (Springer Science and Business Media LLC, 1997-10-01)
In this note, we show that for surfaces admitting suitable fibralions, any given degeneration X/Delta is bimeromorphic to a fiber space over a curve Y/Delta and we apply this result to the study of the degenerate fiber.
On cohomology of invariant submanifolds of Hamiltonian actions
Ozan, Yıldıray (Michigan Mathematical Journal, 2005-01-01)
On quasi-compactness of operator nets on Banach spaces
Emelyanov, Eduard (Institute of Mathematics, Polish Academy of Sciences, 2011-01-01)
The paper introduces a notion of quasi-compact operator net on a Banach space. It is proved that quasi-compactness of a uniform Lotz-Rabiger net (T(lambda))(lambda) is equivalent to quasi-compactness of some operator T(lambda). We prove that strong convergence of a quasi-compact uniform Lotz-Rabiger net implies uniform convergence to a finite-rank projection. Precompactness of operator nets is also investigated.
Citation Formats
H. Önsiper, “On generalized albanese varieties for surfaces,” Mathematical Proceedings of the Cambridge Philosophical Society, pp. 1–6, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51926.