First Sentence:
These notes on tight closure and vector bundles are based on a series of four one-and-a-half hour lectures which I gave at a winter school in Barcelona in 2006.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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commutative algebra, syzygy bundle, forcing algebra, discrete polymatroid, strong semistability, inductive principal, tight closure theory, embedded desingularization, simple basic object, strong exchange property, local regular ring, squarefree monomial ideal, exceptional hypersurface, exterior algebraic, minimal nonface, linear quotients, generic initial ideals, monomial case, same integral closure, solid closure, smooth subscheme, semistable bundles, monoidal transformations, poset ideal, strict transform
Key Phrases - Capitalized Phrases (CAPs):
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New York, Nagoya Math, Main Claim, Pure Math, Sophie Germain, Advanced Studies, Algebraic Combin, Ideal Generators
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