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Titlebook: Algebraic Geometry and its Applications; Proceedings of the 8 Alexander Tikhomirov,Andrej Tyurin Conference proceedings 1994 Springer Fachm

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On the Dimension of the Adjoint Linear System for Quadric Fibrations,wn that for such pairs, (X^ , L^), the Kodaira dimension of ., i.e. there exists some positive integer, ., such that ., except for a short list of degenerate examples. It is moreover shown that except for this short list there is a morphism . expressing .^ as the blow-up of a projective manifold . a
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On a Class of Del Pezzo Fiber Spaces,iants from that standpoint alone. We show that the class of varieties under consideration has a Chow group of codimension two cycles, .. (.) Furthermore, by analyzing the singular fibers of the threefold we are able to show that the Prym variety of this threefold is isomorphic to the Intermediate Ja
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The Decomposition, Inertia and Ramification Groups in Birational Geometry,domain of definition of the map .* denotes the corresponding automorphism of the total ring of fractions on .. Let . be an irreducible reduced subscheme of ., let .. be the generic point of ., let .. be the local ring of .., let .. be the maximal ideal of ...
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Helix Theory and Nonsymmetrical Bilinear Forms,e natural questions about the unimodular (nonsymmetrical) bilinear forms. For investigation of the set of exceptional vector bundles (such bundles that Ext. (. = 0 for i ≠ 0 and dim Ext. (. = 1) there was developed five years ago in [GR], [G1], [G2] the theory of helices. In section 1 we give a revi
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Symplectic Twistors and Geometric Quantization of Strings,ymplectic twistor bundle over the loop space and reformulate the geometric quantization problem in terms of this bundle. For the standard bosonic string we recover in this way the well known critical dimension condition.
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Standard Bundles on a Hilbert Scheme of Points on a Surface, a universal family with natural projections .. Fix an arbitrary divisor . on . and denote .. Since .. is a flat finite morphism of degree ., the sheaf .. is in fact the vector bundle of rank . over ... We call .. the standard vector bundle over ... The problem of computation of its Segre classes is
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