On the moduli spaces of fiber bundles of curves of genus >= 2

Onsiper, H
We determine the moduli spaces parametrizing analytic fiber bundles of curves of genus g greater than or equal to 2 over curves of genus g(b) > (g + 1)/2.


On the moduli of surfaces admitting genus 2 fibrations
Onsiper, H; Tekinel, C (Springer Science and Business Media LLC, 2002-12-01)
We investigate the structure of the components of the moduli space Of Surfaces of general type, which parametrize surfaces admitting nonsmooth genus 2 fibrations of nonalbanese type, over curves of genus g(b) greater than or equal to 2.
On entire rational maps of real surfaces
Ozan, Yıldıray (The Korean Mathematical Society, 2002-01-01)
In this paper, we define for a component X-0 of a nonsingular compact real algebraic surface X the complex genus of X-0, denoted by g(C)(X-0), and use this to prove the nonexistence of nonzero degree entire rational maps f : X-0 --> Y provided that g(C)(Y) > g(C)(X-0), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.
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 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 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
H. Onsiper, “On the moduli spaces of fiber bundles of curves of genus >= 2,” ARCHIV DER MATHEMATIK, pp. 346–348, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63359.