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 9 of 9 for “"Algebraic curve"”.
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Geometry of the Hitchin Morphism and Spectral Correspondences
… 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 annihilating polynomials of pairs. In a particular application, we …
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Poncelet polygons through the lenses of orthogonal polynomials on the unit circle, finite Blaschke products, and numerical ranges.
… In projective geometry, we consider Poncelet curves which admit a family of circum-scribed polygons. From the perspective of linear algebra, we consider the eigenvalues of a one parameter family of matrices called CMV matrices. Complex analysis gives two equivalent constructions of such …
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Sheaf Semantics in Constructive Algebra and Type Theory
… for computing the Puiseux expansions of a plane algebraic curve defined by an affine equation over an algebraically closed field. The termination of this algorithm is usually justified by non-constructive means. By adding a separability condition we obtain a variant of the algorithm, the …
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Holomorphic chains on the projective line
Holomorphic chains on a smooth algebraic curve are tuples of vector bundles on the curve together with the homomorphisms between them. A type of a holomorphic chain is a tuple t of integers consisting of the ranks and degrees of the underlying vector bundles. The definition of holomorphic chains …
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Orbifold points on Teichmüller curves and Jacobians with complex multiplication
… D >/= 5 with D =/- 0 or 1 mod 4, the Weierstrass curve WD is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus …
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Multiplicative Global Springer Theory
… Higgs bundles over a formal disc or over an algebraic curve. In 2011, Z. Yun globalized Springer theory by constructing an action of the extended affine Weyl group on the cohomology of parabolic Hitchin fibers. Meanwhile, there is an ongoing program to replicate the theory of Higgs bundles …
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Random tilings : gap probabilities, local and global asymptotics
… frozen boundary is given. It turns out to be an algebraic curve with very special properties. Moreover, we establish the convergence of the fluctuations of the height functions to the Gaussian Free Field in appropriate coordinates. Our main tool is a recently developed moment method for discrete …
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Improving the Stability of the Recovery of Algebraic Curves via Bernstein Basis Polynomials and Neural Networks
… that we consider are characteristic functions of algebraic shapes, that is, interiors of zero sets of bivariate polynomials, and we assume that we only know a finite set of samples of these images. A solution to this problem can be formulated in terms of a system of linear equations of moments. …