منابع مشابه
Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: The case of noncompact curves
Let S be a compact Riemann surface (holomorphic curve) of genus g. Let p1, p2, · · · , ps be s > 0 points on it; these points define a divisor, and we denote the open Riemann surface S \ {p1, . . . , ps} by S. When 3g− 3+ s > 0, it carries a complete hyperbolic metric of finite volume, the so-called Poincaré metric; the points p1, p2, · · · , ps then become cusps at infinity. Even in the remain...
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The information above on email or mailbox is obsolete. Thanks to Ulrich Görtz for providing me with a copy of the original postscript file. Lectures by Gerd Faltings held in Bonn 1995 Notes by Michael Stoll Comments, remarks, questions etc. inserted by me are set in slanted. Contributions by other people are set in sans serif and marked by their initials: ck] Christian Kaiser Since these notes ...
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Let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree coprime to n on a non-singular projective curve X of genus g ≥ 2. Denote by U a universal bundle on X × M . We show that, for x, y ∈ X, x 6= y, the restrictions U|{x} × M and U|{y} × M are stable and nonisomorphic when considered as bundles on X .
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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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Let A be a finite dimensional unitary algebra over an algebraically closed field K. Here we study the vector bundles on a smooth projective curve which are equipped with a faithful action of A.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1990
ISSN: 0894-0347
DOI: 10.2307/1990935