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Showing 1 to 20 of 103 for “"Witt"”.
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Witt groups of complex varieties
The thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories that arise in the areas of algebraic geometry and topology: the algebraic theory of Witt groups, and real topological K-theory. Specifically, we introduce comparison maps from the Grothendieck-Witt and …
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Witt Rings and Algebraic Knot Concordance
… of symmetric bilinear forms (specifically, Witt theory) to be applied to questions of concordance through use of an algebraic concordance group. We develop this notion of algebraic concordance alongside the corresponding notions from Witt theory.
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On the Witt groups of schemes
We consider two questions about the Witt groups of schemes: the first is the question of finite generation of the shifted Witt groups of a smooth variety over a finite field; the second is the Gersten conjecture. Regarding the first, we prove that the shifted Witt groups of curves and surfaces are …
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The overconvergent de Rham-Witt complex
We define the overconvergent de Rham-Witt complex ... for a smooth affine variety over a perfect field in characteristic p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If dim C < p, we have an isomorphism integrally. One advantage of our …
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Display structures on de Rham-Witt cohomology
… that $\underline{P}^l$ is a display over the Witt-frame $\underline{W}(R)$. This is achieved by constructing and investigating a complex $\underline{W}\Omega_{X/R}^{\bullet}$ of graded $\underline{W}R$-modules on $X$ admitting extra structure whose hypercohomology equals $\underline{P}^l$.
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t-blocking sets and semiovals in Witt designs
… and all semiovals (see definition 4.2) in the Witt designs up to the frequency vectors. In chapter 2 we obtain some results which correct some mistakes in [7, 8]. We also improve the results in [9]. In chapter 3 we thoroughly determine the structure of a Fano set--a fundamental structure used …
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On the 2-typical de Rham-Witt complex
In this thesis we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings Z and Z(2), for the log-ring (Z(2), M) with the canonical log-structure, and we describe its behaviour under polynomial extensions. In an …
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The Geometry of Finite Lattice Varieties Over Witt Vectors
For the Demazure desingularization, we investigate a lattice in the smooth locus, give an explicit decomposition formula of its matrix presentation as a product of affine reflections, and construct a smooth projective variety of iterated P1k -bundles with respect to the decomposition. We show that …
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The missionary career and spiritual odyssey of Otto Witt
… missionary and evangelist Peter Otto Helger Witt (1848-1923), who served as the Church of Sweden Mission's first missionary and as such launched its work amongst the Zulu people of Southern Africa in the 1870S before growing disillusioned with his national Lutheran tradition and, after …
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Witt spaces : a geometric cycle theory for KO-homology at odd primes.
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1979.
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Evaluación de cultivos en callejones de Leucaena leucocephala (Lam) de Witt y Gliricidia sepium jacq. (Stend), asociado con el cultivo de maíz Zea mays
… Jacq (Steud) y Leucaena leucocepbala (Lam) de Witt, como opción para contribuir a la solución de problemas como, la rápida disminución de la capacidad productiva de los suelos, especialmente aquellos con poco potencial, mediante la incorporación de la biornasa arbórea producida por ambas …
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Elliptic curves with complex multiplication and {u039B}-structures
… multiplication can be canonically lifted to the Witt vectors of the base (these are big and global Witt vectors). We also show that elliptic curves with complex multiplication of Shimura type are precisely those admitting Lambda structures. Along the way, we present a detailed study of families …
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Elliptic curves with complex multiplication and {u039B}-structures
… multiplication can be canonically lifted to the Witt vectors of the base (these are big and global Witt vectors). We also show that elliptic curves with complex multiplication of Shimura type are precisely those admitting Lambda structures. Along the way, we present a detailed study of families …
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Treatment integrity failures matched to behavioral function
… increase overall levels of treatment integrity(Witt, Noell, LaFleur & Mortenson, 1997; Noell, Witt, Gilbertson, Ranier & Freeland,1997; Noell et al., 2005). Yet little research has been devoted to understanding the effectiveness of common interventions when those interventions are implemented …
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Rational Points on Lattice Varieties
… of rational points on lattice varieties over Witt vectors with algebraically closed residue field in prime characteristic. These varieties are defined over a finite field. For varieties over finite field, the local zeta function encapsulates valuable number-theoretic information about the …
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The Field of Norms Functor and the Hilbert Symbol
… an invariant form of Parshin's formula for the Witt pairing in characteristic $p$. The `main lemma' relates Kummer extensions of $F$ and Witt extensions of $\cal F$, allowing us to derive a formula for the generalised Hilbert symbol $\hat F_{\infty}^* \times K_N(\cal F) \to \mu_{p^M}$, where …
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Métodos efectivos en álgebras con bases PBW: G-Álgebras y Álgebras de Yang-Baxter
El célebre teorema de Poincaré-Brikhoff-Witt establece que si ${x_1,x_n\}$ es un k-base de un álgebra de Lie, entonces el conjunto de monomios estándar $\{x_1{\alpha_1}\cdots x_n{\alpha_n}\}_{\alpha_i\in \mathbb{N}}$ es una k-base de su álgebra envolvente universal. Esta propiedad, que las álgebras …
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p-primary torsion part of Bloch's cycle complex from Grothendieck's coherent duality point of view
… the Kato-Moser complex of logarithmic de Rham-Witt sheaves \tilde \nu_{n,X} to K_{n,X,log} for the etale topology, and also for the Zariski topology under the extra assumption k =\bar k. Combined with Zhong’s quasi-isomorphism from Bloch’s cycle complex Z^c_X to \tilde \nu_{n,X} [Zho14, 2.16], …
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