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GAUGE FIXING FOR LOGARITHMIC CONNECTIONS OVER CURVES AND THE RIEMANN–HILBERT PROBLEM

Published online by Cambridge University Press:  01 April 1999

CHRISTIAN GANTZ  and
BRIAN STEER
CHRISTIAN GANTZ
Affiliation:
Mathematical Institute, Oxford OX1 3LB
BRIAN STEER
Affiliation:
Mathematical Institute, Oxford OX1 3LB
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Abstract

Let Σ be a compact Riemann surface of genus g, X={x1, …, xn}⊆Σ a finite set of points, and Ω1Σ(log X) be the sheaf of 1-forms, holomorphic over Σ[setmn ]X and generated near xj by dzj/zj for a coordinate zj centred at xj.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 479 - 490
Copyright
The London Mathematical Society 1999

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