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Transitivities in finite affine and projective planes /McLean, Jeffrey Thomas January 1973 (has links)
No description available.
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Spherical and hyperbolic geometry in the high school curriculumCowley, Corrie Schaffer 2009 August 1900 (has links)
The structure of Euclidean, spherical, and hyperbolic geometries are compared, considering specifically postulates, curvature of the plane, and visual models. Implications for distance, the sum of the angles of triangles, and circumference to diameter ratios are investigated. / text
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Four dimensional hyperbolic link complements via Kirby calculusSaratchandran, Hemanth January 2015 (has links)
The primary aim of this thesis is to construct explicit examples of four dimensional hyperbolic link complements. Using the theory of Kirby diagrams and Kirby calculus we set up a general framework that one can use to attack such a problem. We use this framework to construct explicit examples in a smooth standard S<sup>4</sup> and a smooth standard S<sup>2</sup> x S<sup>2</sup>. We then characterise which homeomorphism types of smooth simply connected closed 4-manifolds can admit a hyperbolic link complement, along the way giving constructions of explicit examples.
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The two-legged K-theoretic equivariant vertexOsinenko, Anton January 2019 (has links)
In this work we study K-theoretic Donaldson-Thomas theory. We derive an explicit formula for the capped vertex with two legs in a certain gauge. Using this result we obtain an explicit formula for the operator corresponding to relative geometry of the resolved conifold with two nontrivial legs. As a consequence, we prove polynomiality in the Kahler variable of the operator for the corresponding absolute geometry.
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Die linearen Punkt-, Ebenen- und Strahlabbildungen der darstellenden GeometrieRehbock, F. January 1900 (has links)
Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1926. / "Sonderabdruck aus: Zeitschrift für angewandte Mathematik und Mechanik, Bd. 6, 1926"--P. [1]. Vita. Includes bibliographical references.
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A system of axioms for geometry ...Veblen, Oswald, January 1904 (has links)
Thesis (Ph. D.)--University of Chicago, 1903. / Life. "Reprinted from the Transactions of the American mathematical society, vol. 5, no. 3."
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Tropical Hurwitz spacesKatz, Brian Paul 01 February 2012 (has links)
Hurwitz numbers are a weighted count of degree d ramified covers of curves with specified ramification profiles at marked points on the codomain curve. Isomorphism classes of these covers can be included as a dense open set in a moduli space, called a Hurwitz space. The Hurwitz space has a forgetful morphism to the moduli space of marked, stable curves, and this morphism encodes the Hurwitz numbers.
Mikhalkin has constructed a moduli space of tropical marked, stable curves, and this space is a tropical variety. In this paper, I construct a tropical analogue of the Hurwitz space in the sense that it is a connected, polyhedral complex with a morphism to the tropical moduli space of curves such that the degree of the morphism encodes the Hurwitz numbers. / text
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The classical theory of affine connections.Auer, J. W. (Jan W.) January 1966 (has links)
No description available.
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Linear connections and a Riemann space M3 of constant curvatureMétivier, Denis. January 1969 (has links)
No description available.
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Embedding the affine group in the projective planeParé, Robert. January 1967 (has links)
No description available.
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