منابع مشابه
Low Rank Vector Bundles on the Grassmannian G(1, 4)
Here we define the concept of L-regularity for coherent sheaves on the Grassmannian G(1, 4) as a generalization of Castelnuovo-Mumford regularity on Pn. In this setting we prove analogs of some classical properties. We use our notion of L-regularity in order to prove a splitting criterion for rank 2 vector bundles with only a finite number of vanishing conditions. In the second part we give the...
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On Kähler manifolds, there exist deep relationships between holomorphic and harmonic objects, between algebraic data and analytic variational principles. For example, through the work of Narasimhan-Seshadri [NS], Donaldson [D1, D2, D3] and Uhlenbeck-Yau [UY] we know that an irreducible holomorphic bundle on a compact Kähler manifold X possesses a Hermite-Einstein (H-E) metric if and only if it ...
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If M is compact Kählerian and ρ is semi-simple, that is that the Zariski closure of the image of ρ in GL(n,C) is semi-simple 1, by means of a result of Donaldson (in the case of Riemann surfaces, [5]) and Corlette (in the higher dimensional case, [4]), there exists a unique harmonic metric u on V, equivalently, a ρ-equivariant harmonic map from the universal covering M̃ of M into Pn := GL(n,C)/U...
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We study the null fiber of a moment map related to dual pairs. We construct an equivariant resolution of singularities of the null fiber, and get conormal bundles of closed KC-orbits in the Lagrangian Grassmannian as the categorical quotient. The conormal bundles thus obtained turn out to be a resolution of singularities of the closure of nilpotent KC-orbits, which is a “quotient” of the resolu...
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Let G be a simply connected semisimple group over C. We show that a certain involution of an open subset of the affine Grassmannian of G, defined previously by Achar and the author, corresponds to the action of the nontrivial Weyl group element of SL(2) on the framed moduli space of Gmequivariant principal G-bundles on P. As a result, the fixed-point set of the involution can be partitioned int...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1986
ISSN: 0002-9947
DOI: 10.2307/2000581