Titlebook: Affine Flag Manifolds and Principal Bundles; Alexander Schmitt Conference proceedings 2010 Birkhäuser Basel 2010 Dimension.algebraic geome

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Janine Werner,Felix M. Kempf,Thomas Corinthy proofs only the case of rank two vector bundles with determinant isomorphic to ω. is considered..These notes give a self-contained introduction to the moduli spaces of vector bundles and the generalized θ-divisor.

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Clifford Indices for Vector Bundles on Curves,ces for semistable vector bundles on curves. We study these invariants, giving some basic properties and carrying out some computations for small ranks and for general and some special curves. For curves whose classical Clifford index is two, we compute all values of our new Clifford indices.

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2297-0215 manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.978-3-0348-0309-0978-3-0346-0288-4Series ISSN 2297-0215 Series E-ISSN 2297-024X

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Janine Werner,Felix M. Kempf,Thomas CorinthLet . be a smooth projective curve over an algebraically closed field . of arbitrary characteristic. Given a linear algebraic group . over ., let .. be the moduli stack of principal .-bundles on .. We determine the set of connected components π.(MG) for smooth connected groups ..

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Affine Springer Fibers and Affine Deligne-Lusztig Varieties,We give a survey on the notion of affine Grassmannian, on affine Springer fibers and the purity conjecture of Goresky, Kottwitz, and MacPherson, and on affine Deligne-Lusztig varieties and results about their dimensions in the hyperspecial and Iwahori cases.