Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Geometry, Algebraic"”.
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Towards birational aspects of moduli space of curves
… of curves has proven itself a central object in algebraic geometry. The past decade has seen substantial progress in understanding its geometry. This has been spurred by a flurry of ideas from geometry (algebraic, symplectic, and differential), topology, combinatorics, and physics. One way of …
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Del Pezzo surfaces with irregularity and intersection numbers on quotients in geometric invariant theory
… comprises two parts covering distinct topics in algebraic geometry. In Part I, we construct the first examples of regular del Pezzo surfaces for which the first cohomology group of the structure sheaf is nonzero. Such surfaces, which only exist over imperfect fields, arise as generic fibres of …
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A Geometric Model for Real and Complex Differential K-theory
<p>We construct a differential-geometric model for real and complex differential K-theory based on a smooth manifold model for the K-theory spectra defined by Behrens using spaces of Clifford module extensions. After writing representative differential forms for the universal Pontryagin and Chern …
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Two problems in the theory of curves over fields of positive characteristic
This thesis consists of two parts. In the first half, we define, so called, generalized Artin-Schreier cover of a scheme X over k. After defining Artin-Schreier group scheme Γ over X, a generalized Artin-Schreier cover is realized as a principal homogeneous space of Γ. We are especially interested …
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The algebraic statistics of sampling, likelihood, and regression
This thesis is about statistical models and algebraic varieties. Algebraic Statistics unites these two concepts, turning algebraic structure into statistical insight. Featured here are three types of models that have such an algebraic structure. Linear Gaussian covariance models are continuous …
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On the Classification of Enriques Surfaces
In 1958, André Weil formulated a number of famous conjectures concerning the structure of K3 surfaces: all such surfaces are deformation equivalent; they all admit K¨ahler structures; every point of the period domain arises as the period point of a K3 surface; and the biholomorphism class of a K3 …
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On the infinitesimal theory of Chow groups
The Chow groups of codimension-p algebraic cycles modulo rational equivalence on a smooth algebraic variety X have steadfastly resisted the efforts of algebraic geometers to fathom their structure. Except for the case p=1, which yields an algebraic group, the Chow groups remain mysterious. This …