By Vladimir Serdarushich
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The 1st of 2 volumes providing a latest advent to Kaehlerian geometry and Hodge constitution. The booklet starts off with uncomplicated fabric on advanced variables, advanced manifolds, holomorphic vector bundles, sheaves and cohomology concept, the latter being taken care of in a extra theoretical approach than is common in geometry.
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In its least difficult shape, Hodge idea is the research of classes – integrals of algebraic differential varieties which come up within the learn of advanced geometry and moduli, quantity concept and physics. prepared round the uncomplicated thoughts of adaptations of Hodge constitution and interval maps, this quantity attracts jointly new advancements in deformation concept, replicate symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture.
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Analytic Geometry by Vladimir Serdarushich