Moduli of endomorphisms of semistable vector bundles over a compact Riemann surface
نویسندگان
چکیده
منابع مشابه
The Hodge Numbers of the Moduli Spaces of Vector Bundles over a Riemann Surface
Let M(n, d) denote the moduli space of stable holomorphic vector bundles of coprime rank n and degree d over a fixed Riemann surface Σ of genus g ≥ 2. Let Λ be a fixed line bundle over Σ of degree d and let MΛ(n, d) ⊂ M(n, d) denote the space consisting of those bundles with determinant Λ. The spaces M(n, d) and MΛ(n, d) are nonsingular complex projective varieties whose geometry has been much ...
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A compact topological surface S, possibly non-orientable and with non-empty boundary, always admits a Klein surface structure (an atlas whose transition maps are dianalytic). Its complex cover is, by definition, a compact Riemann surface M endowed with an anti-holomorphic involution which determines topologically the original surface S. In this paper, we compare dianalytic vector bundles over S...
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متن کاملThe Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface
The cohomology of M(n, d), the moduli space of stable holomorphic bundles of coprime rank n and degree d and fixed determinant, over a Riemann surface Σ of genus g ≥ 2, has been widely studied and from a wide range of approaches. Narasimhan and Seshadri [17] originally showed that the topology of M(n, d) depends only on the genus g rather than the complex structure of Σ. An inductive method to ...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1990
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500009010