On cohomology of invariant submanifolds of Hamiltonian actions



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 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 generalized albanese varieties for surfaces
Önsiper, Hurşit (Cambridge University Press (CUP), 1988-7)
On sections of elliptic fibrations
Korkmaz, Mustafa (Michigan Mathematical Journal, 2008-01-01)
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.
Citation Formats
Y. Ozan, “On cohomology of invariant submanifolds of Hamiltonian actions,” MICHIGAN MATHEMATICAL JOURNAL, pp. 579–584, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35186.