Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles

Jørgen Ellegaard Andersen; Niccolo Skovgård Poulsen

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arXiv · 1603.00294

Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles

Jørgen Ellegaard Andersen·Niccolo Skovgård Poulsen

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Abstract

In this paper we provide two ways of constructing complex coordinates on the moduli space of pairs of a Riemann surface and a stable holomorphic vector bundle centred around any such pair. We compute the transformation between the coordinates to second order at the center of the coordinates. We conclude that they agree to second order, but not to third order at the center.

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BibTeX RIS

Jørgen Ellegaard Andersen, Niccolo Skovgård Poulsen. 2016-02-29. Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles. https://arxiv.org/abs/1603.00294

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