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Showing 1 to 2 of 2 for “"Complex Algebraic Geometry"”.
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Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… In Part I, we review the necessary background of complex algebraic geometry. Chapter 1 provides an account of the rudiments of divisors and holomorphic vector bundles. Chapter 2 extends the work of Chapter 1 and restricts to the case of compact Riemann surfaces, which lays the foundation for Higgs …
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Geometric Theory of Parshin Residues
… residues of meromorphic top-forms on algebraic varieties. Parshin's theory is a generalization of the classical one-dimensional residue theory. The main difference between the Parshin's definition and the one-dimensional case is that in higher dimensions one computes the residue not at …