Global ETD Search

1	Density of rational points on K3 surfaces over function fields Li, Zhiyuan 06 September 2012 (has links) In this paper, we study sections of a Calabi-Yau threefold fibered over a curve by K3 surfaces. We show that there exist infinitely many isolated sections on certain K3 fibered Calabi-Yau threefolds and the subgroup of the N´eron-Severi group generated by these sections is not finitely generated. This also gives examples of K3 surfaces over the function field F of a complex curve with Zariski dense F-rational points, whose geometric models are Calabi-Yau. Furthermore, we also generalize our results to the cases of families of higher dimensional Calabi-Yau varieties with Calabi-Yau ambient spaces.
2	DISCRETE ANALYSIS OF SYNCHRONIZED OSCILLATIONS IN EXCITATORY-INHIBITORY NEURONAL NETWORKS Zeki, Mustafa 25 October 2010 (has links) No description available. Bioinformatics Mathematics Neurology oscillatory synchronized reduction discrete analysis neuronal networks neron olfactory system working memory lurching waves wave speed transiently synchronized