منابع مشابه
Picard Group of the Moduli Spaces of G–bundles
Let G be a simple simply-connected connected complex affine algebraic group and let C be a smooth irreducible projective curve of genus ≥ 2 over the field of complex numbers C. Let M be the moduli space of semistable principal G-bundles on C and let Pic M be its Picard group, i.e., the group of isomorphism classes of algebraic line bundles on M. Following is our main result (which generalizes a...
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Why should a number theorist be interested in algebraic geometry? In this course we hope to demonstrate one very good reason, by showing essentially geometric reasons why certain Diophantine equations fail to have solutions. But we will begin by placing the study of Diophantine equations into the context of algebraic geometry, to see how techniques from many different realms of mathematics can ...
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Let A be a commutative comodule algebra over a commutative bialgebra H . The group of invertible relative Hopf modules maps to the Picard group of A, and the kernel is described as a quotient group of the group of invertible grouplike elements of the coring A⊗H , or as a Harrison cohomology group. Our methods are based on elementary K-theory. The Hilbert 90 Theorem follows as a corollary. The p...
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The loop space LP1 of the Riemann sphere consisting of all C k or Sobolev W k,p maps S → P1 is an infinite dimensional complex manifold. We compute the Picard group Pic(LP1) of holomorphic line bundles on LP1 as an infinite dimensional complex Lie group with Lie algebra the Dolbeault group H(LP1). The group of Möbius transformations G and its loop group LG act on LP1. We prove that an element o...
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In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90094-7