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On étudie des courbes munie de séries linéaires qui sont exceptionnelles vis-à-vis leurs plans sécants. En travaillant dans le cadre d'une extension de la théorie de Brill--Noether aux paires de séries linéaires, on démontre qu'une courbe générale de genre g n'a aucune plan sécant exceptionnel. On traite aussi le calcul du nombre de séries linéaires ayant des plans sécants exceptionnels dans une famille à une paramètre en termes de classes tautologiques associées à la famille. On formule une conjecture sur les fonctions génératrices des coefficients tautologiques des formules multisécantes correspondantes dans le cas de séries $g^{2d-1}_m$ admettant des $(d-2)$-plans $d$-sécants, avec $d$ variable. On décrit aussi une stratégie pour calculer les classes de diviseurs sécant-exceptionnels dans le groupe de Picard de l'espace des modules des courbes pour deux familles d'exemples naturelles, et on obtient une formule pour le nombre de séries linéaires ayant des plans sécants exceptionnels sur une courbe générale munie d'une famille 1-dimensionnelle de séries linéaires.

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2006. / Title from title screen (site viewed on Feb. 5, 2007). PDF text: 66 p. : ill. (some col.) UMI publication number: AAT 3216432. Includes bibliographical references. Also available in microfilm and microfiche format.

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 106-108).

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 64-69). Also available in electronic version.

Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 1997. / Includes bibliographical references. Also available on the Internet.

Let K be the function field of an irreducible, smooth projective curve X defined over Fq. Let [lemniscate] be a fixed point on X and let A [a subset of or is equal to] K be the Dedekind domain of functions which are regular away from [lemniscate]. Following the work of Greg Anderson, we define special polynomials and explain how they are used to define an A-module (in the case where the class number of A and the degree of [lemniscate] are both one) known as the module of special points associated to the Drinfeld A-module [rho]. We show that this module is finitely generated and explicitly compute its rank. We also show that if K is a function field such that the degree of [lemniscate] is one, then the Goss L-function, evaluated at 1, is a finite linear combination of logarithms evaluated at algebraic points. We conclude with examples showing how to use special polynomials to compute special values of both the Goss L-function and the Goss zeta function.

Modules for cotton storage and transport should be constructed with a shape that will resist collecting water to maintain the quality of seed cotton during storage. Meeting this specification requires knowledge of the relationship between the applied compressive force, deformation, and time for seed cotton. Several factors were tested to determine their effects on the height and density of seed cotton during compression, creep loading, and recovery. Models were used to describe these processes. These results were used to develop an algorithm capable of providing information on module shape to the module builder operator. The initial loading density did not affect the compressed density, but a slight effect was observed in the recovered density, due to the weight of the seed cotton. Picker harvested cotton was compressed to a greater density than stripper harvested cotton, but expanded more during recovery, resulting in similar final densities. Multiple compressions increased the density, but this increase was not physically significant after the third compression. Higher moisture content increased the density seed cotton could be compressed to slightly. Viscoelastic behavior was observed; however, the effect on density was small. Both the compression and creep curves were described using mathematical models. A compression model using an asymptotic true strain measure yielded high R2 values; however, some aspect of this process remained unexplained and the equation was limited in its predictive ability. Creep behavior was described using a modified Burgers model. This model was more accurate than the creep model, although a definite trend existed in the creep model residuals. A feedback algorithm was developed based on the observation that the compressed density was primarily dependent on the mass of seed cotton and not the initial density. By measuring the compressed depth of cotton in a module and the hydraulic pressure of the tramper foot cylinder, the resulting shape of the module can be predicted. Improved loading of the module builder is necessary to produce a desirably shaped module. More seed cotton needs to be placed in the center of the module, resulting in a surface that slopes down towards the outer edges.

Thèse de doctorat : Informatique : Vandoeuvre-les-Nancy, INPL : 2006. / Titre provenant de l'écran-titre. Bibliogr.

Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2004. / Includes bibliographical references (leaves 116-127). Also available in electronic version. Access restricted to campus users.