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 20 of 44 for “"PROJECTIVE SPACE#"”.
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Projective Space: Structuring a Beholder’s Imaginative Response
… relationship between an artwork and the space of its reception. It proposes a distinctive position on spatiality and the virtual. The thesis is submitted in two parts: a written thesis (Part One), and a documentation of my own art practice (Part Two). The artwork that comprises the …
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Generic lines in projective space and the Koszul property
… ring for a generic collection of lines and the projective dimension of the coordinate ring of collections of lines in general linear position.
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Semidefinite programming bounds for codes in complex projective space
… three-point bounds for codes in complex projective space, where previously only two-point linear programming bounds were known. We discuss how these bounds can be computed numerically using semidefinite programming, and provide a framework that allows for proofs of universal optimality …
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A geometric construction of a Calabi quasimorphism on projective space
We use the rotation numbers defined by Théret in [T] to construct a quasimorphism on the universal cover of the Hamiltonian group of CPⁿ. We also show that this quasimorphism agrees with the Calabi invariant for isotopies that are supported in displaceable subsets of CPⁿ.
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The principle of duality in a projective space of N dimensions
Thesis (M.A.)--University of Kansas, Mathematics, 1922. ; Includes bibliographical references.
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Topology and combinatorics of low genus mapping spaces to projective space
… boundary combinatorics of two classes of moduli spaces parametrising maps from elliptic curves to projective space - the Vakil--Zinger space and Kontsevich stable map spaces - combining the techniques of mixed Hodge structures, tropical moduli spaces, symmetric functions, and the Grothendieck …
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Homological mirror symmetry for a Calabi-Yau hypersurface in projective space
… smooth d-dimensional Calabi-Yau hypersurface in projective space, for any d =/> 3.
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A compact moduli space for Cohen-Macaulay curves in projective space
… moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The motivation …
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Upper bounds of second Laplacian eigenvalues on the sphere and the projective space
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-05-01
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Lelong Numbers and Geometric Properties of Upper Level Sets of Currents on Projective Space
… $(1,1)$ with unit mass on the complex projective space $\mathbb P^2$. For $\alpha > 2/5$ and $\beta = (2-2\alpha)/3$ we show that if $T$ has four points with Lelong number at least $\alpha$, the upper level set $E_{\beta}^+ (T)$ of points of $T$ with Lelong number strictly larger than …
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Localization genus of classifying spaces
… for a large class of torsionfree classifying spaces, K-theory filtered ring is an invariant of the genus. We apply this result in two ways. First, we use it to show that the powerseries ring on n indeterminates over the integers admits uncountably many mutually non-isomorphic [lambda]-ring …
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Projective Geometry for Perfectoid Spaces
… algebraic variety we often embed it in various projective spaces. This develops the notion of projective geometry which has been an invaluable tool in algebraic geometry. We develop a perfectoid analog of projective geometry, and explore how equipping a perfectoid space with a map to a certain …
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An application of signature of smooth manifolds
… any number of copies of even dimensional complex projective space can bound a smooth oriented compact manifold with boundary. We prove this by defining and computing certain algebraic invariants for smooth oriented manifolds. A non-diffeomorphic relationship is established between boundary …
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Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions
… curves with a cusp of specified nature in projective spaces. A general approach for counting positive-genus curves with a fixed complex structure is also presented. The applications described include enumeration of rational curves with a (3,4)-cusp, genus-two and genus-three curves with a …
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Equivariant Modules
… images of twists of the Koszul complex on the projective space. This idea apparently goes back to Kempf [1970]. Taking this "geometric" point of view, we interpret the cohomology of these complexes as the cohomology of certain vector bundles on projective space, and proceed with calculations. …
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Classifcation of Conics in the Tropical Projective Plane
This paper defines tropical projective space, TP^n, and the tropical general linear group TPGL(n). After discussing some simple examples of tropical polynomials and their hypersurfaces, a strategy is given for finding all conics in the tropical projective plane. The classification of conics and an …
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Lifts of Frobenius on Arithmetic Jet Spaces of Schemes
… analogues lifts of Frobenius on arithmetic jet spaces J^1(X) of schemes. In this thesis, we first consider the projective space P^m and prove that lifts of Frobenius do not exist on its arithmetic jet spaces J^n(P^m_R) for n, m >= 1. Exhibiting a contrast in the case n=m=1 between the arithmetic …
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Computations in monotone Floer theory
… For example, we prove that Dehn twists in most projective hypersurfaces have infinite order in the symplectic mapping class group; prove that the real projective space split-generates the Fukaya category of the complex projective space and therefore must intersect any other Lagrangian …
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