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Showing 1 to 3 of 3 for “"Morphisms (Mathematics)"”.

  1. 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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  2. 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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  3. Digital Morphometry : A Taxonomy Of Morphological Filters And Feature Parameters With Application To Alzheimer's Disease Research

    In this thesis the expression digital morphometry collectively describes all those procedures used to obtain quantitative measurements of objects within a two-dimensional digital image. Quantitative measurement is a two-step process: the application of geometrical transformations to extract the …

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