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Geometry of the moduli space of Higgs bundlesHausel, TamaÌs January 1998 (has links)
No description available.
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Coherent sheaves and deformation theory in abelian categoriesShepherd, James A. January 2004 (has links)
No description available.
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The dimension of varieties over groupsDyker, Guinevere M. January 2004 (has links)
No description available.
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Elliptic and K3 fibrations birational to Fano 3-fold weighted hypersurfacesRyder, Daniel James January 2002 (has links)
No description available.
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Error correction of generalised algebraic-geometry codesLewis, Matthew January 2004 (has links)
No description available.
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Extremal metrics and K-stabilitySzekelyhidi, Gabor January 2006 (has links)
No description available.
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Topics in modern algebraic geometryBirkar, Caucher January 2004 (has links)
No description available.
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The arithmetic of Galois representations over affinoidsSmith, Paul Anthony January 2005 (has links)
No description available.
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Analytic Zariski structuresPeatfield, Nicholas John January 2003 (has links)
No description available.
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Constrained Willmore surfaces : symmetries of a Möbius invariant integrable systemQuintino, Áurea Casinhas January 2008 (has links)
This work is dedicated to the study of the Möbius invariant class of constrained Willmore surfaces and its symmetries. We define a spectral deformation by the action of a loop of flat metric connections; Bäcklund transformations, by applying a dressing action; and, in 4-space, Darboux transformations, based on the solution of a Riccati equation. We establish a permutability between spectral deformation and Bäcklund transformation and prove that non-trivial Darboux transformation of constrained Willmore surfaces in 4-space can be obtained as a particular case of Bäcklund transformation. All these transformations corresponding to the zero multiplier preserve the class of Willmore surfaces. We verify that, for special choices of parameters, both spectral deformation and Bäcklund transformation preserve the class of constrained Willmore surfaces admitting a conserved quantity, and, in particular, the class of CMC surfaces in 3-dimensional space-form.
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