On degenerations of fiber spaces of curves of genus >=2

Onsiper, H
Sertoz, S
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 the moduli spaces of fiber bundles of curves of genus >= 2
Onsiper, H (Springer Science and Business Media LLC, 2000-11-02)
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 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 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 the problem of lifting fibrations on algebraic surfaces
Kaya, Celalettin; Önsiper, Mustafa Hurşit; Department of Mathematics (2010)
In this thesis, we first summarize the known results about lifting algebraic surfaces in characteristic p > 0 to characteristic zero, and then we study lifting fibrations on these surfaces to characteristic zero. We prove that fibrations on ruled surfaces, the natural fibration on Enriques surfaces of classical type, the induced fibration on K3-surfaces covering these types of Enriques surfaces, and fibrations on certain hyperelliptic and quasi-hyperelliptic surfaces lift. We also obtain some fragmentary re...
Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01)
In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
Citation Formats
H. Onsiper and S. Sertoz, “On degenerations of fiber spaces of curves of genus >=2,” ARCHIV DER MATHEMATIK, pp. 350–352, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65199.