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Lichamen van algebraische functies bij een volkomen constantenlichaamGeldrop, Wilhelmus Theodorus Leonardus van. January 1936 (has links)
Proefschrift-Leiden.
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Lichamen van algebraische functies bij een volkomen constantenlichaamGeldrop, Wilhelmus Theodorus Leonardus van. January 1936 (has links)
Proefschrift-Leiden.
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Extending continuous functions in stone-cech compactifications of discrete spaces and in zero-dimensional spacesWarren, Nancy MacMaster, January 1970 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1970. / Typescript. Vita. Description based on print version record. Includes bibliographical references.
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Projektionen von glatten Flächen in den p⁴Bauer, Ingrid. January 1994 (has links)
Inaug.-Diss.--Rheinische Friedrich-Wilhelms-Universität, 1992. / Includes bibliographical references (p. 91-92).
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Studies in configuration space analysis and applicationsKuna, Tobias. January 1999 (has links)
Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität. / Includes bibliographical references ((p. 179-187)).
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Normal functions of product varietiesLewis, James Dominic January 1981 (has links)
The work of this thesis is to motivate the following:
Statement: The Hodge conjecture holds for products of varieties
Z = XxC where (i) X is smooth, projective of dimension 2m-l, (ii) C is a smooth curve.
The basic setting of this thesis is depicted by the following
where (i) k⁻¹ (t) = Zt = Xt xC, {Xt } a
Lefschetz pencil of hyperplane sections of X (ii) £ is the singular set of k, i.e.,
k = k
is smooth and proper.
Corresponding to this diagram are the extended Hodge bundle
U H (Z . C) with integrable connection V , and the family of tt?1 t
intermediate Jacobians. U JCZ ) with corresponding normal functions
Now V induces an operator (also denoted by V)
on the normal functions, and those normal functions v satisfying the differential equation Vv = 0 are labeled horizontal, which includes those normal functions arising from the primitive algebraic cocycles
in H²m (Z). Now the known generalization of Lefschetz's techniques
state that every primitive integral class of type (m,m) in H²m (Z)
comes from a horizontal normal function in some natural way, so that
what's needed to prove the above statement is some way of converting a
normal function to an algebraic cocycle. We motivate this statement
by proving some results about the group of normal functions, in particular
our main result:
Theorem: The group of normal functions are horizontal.
To prove this theorem, we exhibit Vv as a global section of some holomorphic vector bundle over p¹, and then show that there
are no non-zero global sections of this vector bundle. The main idea is to compare the quasi-canonical extensions of certain holomorphic vector bundles with integrable connection with those extensions arising from algebra (hypercohomology), by calculating certain periods of growth. Once this comparison is made precise, we apply a vanishing theorem statement about the global sections of the algebraic extensions to our geometric extensions, thus concluding the proof of the theorem. / Science, Faculty of / Mathematics, Department of / Graduate
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Sheaves and schemes: an introduction to algebraic geometryAbou-Rached, John January 1900 (has links)
Master of Science / Department of Mathematics / Roman Fedorov / The purpose of this report is to serve as an introduction to the language of sheaves and schemes via algebraic geometry. The main objective is to use examples from algebraic geometry to motivate the utility of the perspective from sheaf and scheme theory. Basic facts and definitions will be provided, and a categorical approach will be frequently incorporated when appropriate.
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A survey on Golomb's Conjectures and Costas Arrays曾紹祺, Tsang, Shiu-kei. January 1999 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Theory of singularities in algebraic geometry.January 1976 (has links)
Kam-chan Lo. / Thesis (M.Phil.)--Chinese University of Hong Kong. / Bibliography: leaf 11.
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Real algebraic geometry and the Pierce-Birkhoff conjectureKlute, Annette 28 March 1991 (has links)
Graduation date: 1991
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