Stable ulrich bundles on fano 3-folds with picard number 2

Download
2016
Genç, Özhan
In this thesis, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of P^3, Q (smooth quadric in P^4), V3 (smooth cubic in P^4) or V4 (complete intersection of two quadrics in P^5) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in P^3. Also, we prove that there exist stable rank two Ulrich bundles with c1 = 3H on a generic member of this deformation class.

Suggestions

Stable Ulrich bundles on Fano threefolds with Picard number 2
Genc, Ozhan (2018-01-01)
In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of P-3, Q (smooth quadric in P-4), V-3 (smooth cubic in P-4) or V-4 (complete intersection of two quadrics in P-5) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in P-3. Also, we prove that there exist stable rank two Ulrich bundles with c(1) = 3H on a gene...
An improvement on the bounds of Weil exponential sums over Gallois rings with some applications
Ling, S; Özbudak, Ferruh (Institute of Electrical and Electronics Engineers (IEEE), 2004-10-01)
We present an upper bound for Weil-type exponential sums over Galois rings of characteristic p(2) which improves on the analog of the Weil-Carlitz-Uchiyama bound for Galois rings obtained by Kumar, Helleseth, and Calderbank. A more refined bound, expressed in terms of genera of function fields, and an analog of McEliece's theorem on the divisibility of the homogeneous weights of codewords in trace codes over Z(p)2, are also derived. These results lead to an improvement on the estimation of the minimum dista...
A hybrid uniform geometrical theory of diffraction-moment method for efficient analysis of electromagnetic radiation/scattering from large finite planar arrays
Aydın Çivi, Hatice Özlem; Chou, HT; Nepa, P (2000-03-01)
A hybrid uniform geometrical theory of diffraction (UTD)-moment method (MOM) approach is introduced to provide an efficient analysis of the electromagnetic radiation/scattering from electrically large, finite, planar periodic arrays. This study is motivated by the fact that conventional numerical methods become rapidly inefficient and even intractable for the analysis of electrically large arrays containing many antenna or frequency-selective surface (FSS) elements. In the present hybrid UTD-MOM approach, t...
Solution to transient Navier-Stokes equations by the coupling of differential quadrature time integration scheme with dual reciprocity boundary element method
Bozkaya, Canan; Tezer, Münevver (Wiley, 2009-01-20)
The two-dimensional time-dependent Navier-Stokes equations in terms of the vorticity and the stream function are solved numerically by using the coupling of the dual reciprocity boundary element method (DRBEM) in space with the differential quadrature method (DQM) in time. In DRBEM application, the convective and the time derivative terms in the vorticity transport equation are considered as the nonhomogeneity in the equation and are approximated by radial basis functions. The solution to the Poisson equati...
Absence of topological effects in the gauged SU(2) nonlinearσmodel in 2+1 dimensions
Pak, NAMIK KEMAL; Percacci, R. (American Physical Society (APS), 1987-10-15)
We first review the θ sectors of the pure SU(2) nonlinear σ model and the quantization of the topological mass in the SU(2) Yang-Mills theory in 2+1 dimensions. We then show that when the two models are coupled the θ sectors disappear and the topological mass need not be quantized. We work in a canonical formalism and emphasize the role of functional magnetic fields.
Citation Formats
Ö. Genç, “Stable ulrich bundles on fano 3-folds with picard number 2,” Ph.D. - Doctoral Program, Middle East Technical University, 2016.