Titlebook: ICM-90 Satellite Conference Proceedings; Algebraic Geometry a Akira Fujiki,Kazuya Kato,Yoichi Miyaoka Conference proceedings 1991 Springer-

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Poincare Polynomials of Some Moduli Varieties,ariety V over F.n, for all n, determine the Betti numbers of V (for precise details cf., §5). This theme has been taken up by Harder and Narasimhan in [H-N] and by Desale and Ramanan in [D-R] to compute the Poincaré polynomial of the moduli space M(n,d) of semi-stable vector bundles of rank n and de

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On Two Conjectures in Birational Algebraic Geometry,t provides a description of the torsion cohomology groups for any field in terms of Milnor .-functor. Another one was formulated by A. Grothendieck and concerns only the fields of rational functions on algebraic varieties over number fields. Namely, it claims that the Galois group of the algebraic c

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Depth and Perversity,d for rings and modules could be understood through the vanishing of adequate cohomologies. The topological counterpart of this notion of depth in homotopy and rational cohomology are related to the classical theorem of Lefschetz on hyperplane sections. The analogy between topology and commutative a

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,Abelian Varieties of K3 Type and ℓ-Adic Representations,rieties over finite fields. These envelopes are linear reductive commutative Lie algebras. We prove that these envelopes (after an extension of scalars) are generated by semisimple linear operators, whose spectrum coincides with the set of slopes of the Newton polygon of the Abelian variety. In addi

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Hélène Esnault,Eckart Viehwegterminations have been made using two or more of the sixteen observed isotopic species of CO, H.CO, HCN and CS.. As will be shown, only a few of the molecular experiments can be interpreted independently. The two most notable of these independent experiments are the comparisons of the 6.2 cm absorpt

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