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Displaying 101 –
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Based on some analogies with the Hodge theory of isolated hypersurface singularities, we define Hodge–type numerical invariants of any, not necessarily algebraic, link in a three–sphere. We call them H–numbers. They contain the same amount of information as the (non degenerate part of the) real Seifert matrix. We study their basic properties, and we express the Tristram–Levine signatures and the higher order Alexander polynomial in terms of them. Motivated by singularity theory, we also introduce...
We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].
In this paper, we consider the problem of determining which topological complex rank-2
vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in
particular, we give necessary and sufficient conditions for the existence of holomorphic
rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.
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