ON THE BMY INEQUALITY ON SURFACES

Download

thesis.pdf

Date

2022-2-10

Author

Terzi, Sadık

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

168
views

49
downloads

In the thesis, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY inequality in positive characteristic. We consider semistable fibrations π : S −→ C where S is a smooth projective surface and C is a smooth projective curve. Using the exact sequence relating the locally exact differential forms on S, C, and S/C, we prove an inequality relating c21 and c2 for ordinary surfaces which admit generically ordinary semistable fibrations. This inequality differs from the BMY inequality by a correcting term which vanishes if the fibration is ordinary. In the last chapter we discuss an alternative approach which relates the failure of the Bogomolov inequality (c21 ≤ 4c2) on a surface X to the existence of torsors for some special X-group schemes.

Subject Keywords

BMY inequality, ordinarity, semistable fibrations, torsors

URI

https://hdl.handle.net/11511/96219

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

On the BMY inequality on surfaces Terzi, Sadık (2021-08-01) In this paper, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY inequality in positive characteristic. We consider semistable fibrations pi : S -> C where S is a smooth projective surface and C is a smooth projective curve. Using the exact sequence relating the locally exact differential forms on S, C, and S/C, we prove an inequality relating c(1)(2) and c(2) for ordinary surfaces which admit generically ordinary semistable fibrations. This ine...
On the Orthogonality of q-Classical Polynomials of the Hahn Class Alvarez-Nodarse, Renato; Adiguzel, Rezan Sevinik; Taşeli, Hasan (2012-01-01) The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson equation. To be more specific, a geometrical approach has been used by taking into account every possible rational form of the polynomial coefficients in the q-Pearson equation, together with various relative positions of their zeros, to describe a desired q-wei...
On output independence and complementariness in rank-based multiple classifier decision systems Saranlı, Afşar (Elsevier BV, 2001-12-01) This study presents a theoretical analysis of output independence and complementariness between classifiers in a rank-based multiple classifier decision system in the context of the partitioned observation space theory. To enable such an analysis, an information theoretic interpretation of a rank-based multiple classifier system is developed and basic concepts from information theory are applied to develop measures for output independence and complementariness. It is shown that output independence of classi...
On the Problem of Interpretation Concerning the Contemporary Philosophy of Biology Birgül, Osman Gazi (2019-06-01) In the first part of the study, I discuss three methodological problems of the interpretation of the biological data, namely subjectivity of perspective, anthropocentrism of jargon and perspective-orientation of the studies. Then, I defend intentionality of moral acts against the functionalist morality, emphasizing the interpretation of the observations on animal behavior cannot assume that animals have intentionality. In the second part, I review the ambiguity problem of the traits in the heritability stud...
On disconjugacy and stability criteria for discrete Hamiltonian systems Mert, R.; Zafer, Ağacık (Elsevier BV, 2011-10-01) By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic.

Citation Formats

S. Terzi, “ON THE BMY INEQUALITY ON SURFACES,” Ph.D. - Doctoral Program, Middle East Technical University, 2022.