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Some stable degenerations and applications to moduli /Van Opstall, Michael A., January 2004 (has links)
Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (p. 44-48).
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Geodesics in the complex of curves of a surfaceLeasure, Jason Paige. January 2002 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company.
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The generalized dressing method and algebra curves method and their applications to integrable equations /Su, Ting. January 2009 (has links) (PDF)
Thesis (Ph.D.)--City University of Hong Kong, 2009. / "Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves 157-176)
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The moduli space of non-classical directed Klein surfacesMyint Zaw. January 1998 (has links)
Thesis (doctoral)--Bonn, 1998. / Pages 10, 68 and 102 blank. Includes bibliographical references (p. 103-105).
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Automorphisms of curves and the lifting conjecture /Brewis, Louis Hugo. January 2005 (has links)
Thesis (MSc)--University of Stellenbosch, 2005. / Bibliography. Also available via the Internet.
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On estimating fractal dimensionDubuc, Benoit January 1988 (has links)
No description available.
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Quadratic forms : harmonic transformations and gradient curvesOum, Jai Yong. January 1980 (has links)
Thesis: M.S., Massachusetts Institute of Technology, Sloan School of Management, 1980 / Bibliography: leaf 53. / by Jai Yong Oum. / M.S. / M.S. Massachusetts Institute of Technology, Sloan School of Management
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Coset intersection problem and application to 3-netsUnknown Date (has links)
In a projective plane (PG(2, K) defined over an algebraically closed field K of characteristic p = 0, we give a complete classification of 3-nets realizing a finite group. The known infinite family, due to Yuzvinsky, arised from plane cubics and comprises 3-nets realizing cyclic and direct products of two cyclic groups. Another known infinite family, due to Pereira and Yuzvinsky, comprises 3-nets realizing dihedral groups. We prove that there is no further infinite family and list all possible sporadic examples. If p is larger than the order of the group, the same classification holds true apart from three possible exceptions: Alt4, Sym4 and Alt5. / by Nicola Pace. / Thesis (Ph.D.)--Florida Atlantic University, 2012. / Includes bibliography. / System requirements: Adobe Reader. / Mode of access: World Wide Web.
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Finite fields, algebraic curves and coding theory. / Finite fields, algebraic curves & coding theoryJanuary 2006 (has links)
Yeung Wai Ling Winnie. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 99-100). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Finite Fields --- p.4 / Chapter 2.1 --- Basic Properties of Finite Fields --- p.4 / Chapter 2.2 --- Existence and Uniqueness of Finite Fields --- p.8 / Chapter 2.3 --- Algorithms in Factoring Polynomials --- p.11 / Chapter 2.3.1 --- Factorization of xn ´ؤ 1 --- p.11 / Chapter 2.3.2 --- Berlekamp Algorithm for Factorizing an Arbitrary Polynomial --- p.13 / Chapter 3 --- Algebraic Curves --- p.17 / Chapter 3.1 --- Affine and Projective Curves --- p.17 / Chapter 3.2 --- Local Properties and Intersections of Curves --- p.19 / Chapter 3.3 --- Linear Systems of Curves and Noether's Theorem --- p.24 / Chapter 3.4 --- Rational Function and Divisors --- p.29 / Chapter 3.5 --- Differentials on a Curve --- p.34 / Chapter 3.6 --- Riemann-Roch Theorem --- p.36 / Chapter 4 --- Coding Theory --- p.46 / Chapter 4.1 --- Introduction to Coding Theory --- p.46 / Chapter 4.1.1 --- Basic Definitions for Error-Correcting Code --- p.46 / Chapter 4.1.2 --- Geometric Approach to Error-Correcting Capabilities of Codes --- p.48 / Chapter 4.2 --- Linear Codes --- p.49 / Chapter 4.2.1 --- The Dual of a Linear Code --- p.54 / Chapter 4.2.2 --- Syndrome Decoding --- p.57 / Chapter 4.2.3 --- Extension of Basic Field --- p.60 / Chapter 4.3 --- The Main Problem in Coding Theory --- p.62 / Chapter 4.3.1 --- "Elementary Results on Aq(n, d)" --- p.63 / Chapter 4.3.2 --- "Lower Bounds on Aq(n, d)" --- p.63 / Chapter 4.3.3 --- "Upper Bounds on Aq(n,d)" --- p.65 / Chapter 4.3.4 --- Asymptotic Bounds --- p.67 / Chapter 4.4 --- Rational Codes --- p.68 / Chapter 4.4.1 --- Hamming Codes --- p.68 / Chapter 4.4.2 --- Codes on an Oval --- p.69 / Chapter 4.4.3 --- Codes on a Twisted Cubic Curve --- p.78 / Chapter 4.4.4 --- Normal Rational Codes --- p.82 / Chapter 4.5 --- Goppa Codes --- p.84 / Chapter 4.5.1 --- Classical Goppa Codes --- p.85 / Chapter 4.5.2 --- Geometric Goppa Codes --- p.88 / Chapter 4.5.3 --- Good Codes from Algebraic Geometry --- p.91 / Chapter 4.6 --- A Recent Non-linear Code Improving the Tsfasman- Vladut-Zink Bound --- p.93 / Bibliography --- p.99
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Hyperelliptic curves from the geometric and algebraic perspectives /Weir, Colin, January 1900 (has links)
Thesis (M.Sc.) - Carleton University, 2008. / Includes bibliographical references (p. 212-213). Also available in electronic format on the Internet.
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