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 38 for “"Morphism"”.
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Geometry of the Hitchin Morphism and Spectral Correspondences
… a strong categorical correspondence between isomorphism classes of sheaves of arbitrary rank on a given algebraic curve and twisted pairs on another algebraic curve, mostly from a linear-algebraic standpoint. We aim to generalize the language of classical spectral correspondence by the …
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Towards characterizing morphims between high dimensional hypersurfaces
… field of characteristic zero. Paper 1 concerns morphisms between hypersurfaces in Pn, n =/> 4. We show that if the two hypersurfaces involved in the morphism are of general type, then the morphism of hypersurfaces extends to an everywhere-defined endomorphism of Pn. A corollary is that if X …
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Irreducible symplectic complex spaces
… not necessarily locally topologically trivial, morphisms of complex manifolds. Generalizing Griffiths's theory, we interpret the differential of such period mappings as the composition of the Kodaira-Spencer map and a map derived from the sheaf cohomological cup product and the contraction of …
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Elliptic curves with complex multiplication and {u039B}-structures
… admit Lambda structures and that the structure morphism is a Lambda morphism. This implies that elliptic curves with complex 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 …
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Elliptic curves with complex multiplication and {u039B}-structures
… admit Lambda structures and that the structure morphism is a Lambda morphism. This implies that elliptic curves with complex 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 …
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The Geometry of Finite Lattice Varieties Over Witt Vectors
… We show that there is a birational proper morphism from the smooth variety onto Latnr K .
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Average lang-trotter conjecture for 2 elliptic curves
… ) and a p ( E 2 ) be the traces of the Frobenius morphism of E 1 and E 2 respectively. By Hasse's theorem, we know that a p ( E i ), i = 1,2, are integers and satisfy the inequality
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A DOCTRINAL VIEW OF LOGIC
… show that a rich doctrine admits an appropriate morphism towards the doctrine of subsets. Henkin’s Theorem for doctrines follows from these two results, and our proof in the context of existential implicational doctrines is modeled on the main lines of the original theorem. Finally, the thesis …
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Extensivity relative to a bifunctor
… of functors, and the second as a property of morphisms in the category. This thesis explores both perspectives. The morphism-focused viewpoint is captured through extensive morphisms, which allow one to study extensivity in categories that are not themselves extensive. From the functorial …
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Induced maps between intersection spaces
… homology groups will be assembled in a morphism of reflective diagrams.
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Homotopy Topoi and Equivariant Elliptic Cohomology
… abelian Lie group G as an essential geometric morphism of homotopy topoi. It follows that our definition satisfies a conceptually simpler homotopy-theoretic analogue of the Ginzburg-Kapranov-Vasserot axioms [8], which allows us to calculate the cohomology of the equivariant G-spectra S V …
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Deformation complexes of algebraic operads and their applications
… V, W are Cobar(C)-algebras, and U is an infinity-morphism. We then investigate the deformation complexes of Cyl(C) and Cobar(C). Our main result is that the restriction maps between between the deformation complexes Der'(Cyl(C)) and Der'(Cobar(C)) are homotopic quasi-isomorphisms of filtered Lie …
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Morphisms of networks of hybrid open systems
… a theory of networks of hybrid open systems and morphisms. This theory builds upon a framework of networks of continuous-time open systems as product and interconnection. We work out categorical notions for hybrid systems, deterministic hybrid systems, hybrid open systems, networks of hybrid open …
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On the existence of complex-valued harmonic morphisms
… method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing …
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Moduli Spaces of Dynamical Systems on Pn
This thesis studies the space of morphisms on Pn defined by polynomials of degree d and its quotient by the conjugation action of PGL(n+1), which should be thought of as coordinate change. First, we construct the quotient using geometric invariant theory, proving that it is a geometric quotient and …
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Zariski structures and simple theories
… algebraic geometry, I show the notions of etale morphism and unramified Zariski cover essentially coincide for smooth algebraic varieties, show the equivalence of branching number and multiplicity in the case of smooth projective curves and give a proof of defining tangency for curves using …
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The Multivariable Alexander Polynomial on Tangles
… knots. Our tangle invariant is a circuit algebra morphism, and so behaves well under tangle operations and gives yet another definition for the Alexander polynomial. The MVA and the single variable Alexander polynomial are known to satisfy a number of relations, each of which has a proof relying …
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Theta Maps for Combinatorial Hopf Algebras
… is a very natural and well-behaved Hopf algebra morphism from quasi-symmetric functions or non-commutative symmetric functions to their respective peak algebra, which we call the theta map. This thesis focuses on generalizing the peak algebra by constructing generalized theta maps for an …
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Generalized Rank Invariant : Structure, Möbius Inversion, and Persistence Diagram
… over a subposet as the image of the canonical morphism between the limit and colimit of the restricted diagram within a category. This construction generalizes existing rank invariants and admits a rigorous formulation for vector-valued and set-valued functors. A pivotal contribution of this …
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