On the projective structures on Riemann surfaces

Indranil Biswas; Eduard Looijenga

doi:10.4310/PAMQ.241105045914

On the projective structures on Riemann surfaces

Indranil Biswas^*
, Eduard Looijenga

^*Corresponding author for this work

Shiv Nadar University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We investigate projective structures on compact Riemann surfaces from an algebro-geometric point of view. In particular, algebro-geometric description of the natural local system on X associated to a projective structure on X is given. Also, the symplectic form on the moduli space of projective structures is described using [BL].

Original language	English
Pages (from-to)	2057-2076
Number of pages	20
Journal	Pure and Applied Mathematics Quarterly
Volume	20
Issue number	5
DOIs	https://doi.org/10.4310/PAMQ.241105045914
Publication status	Published - 4 Nov 2024

Bibliographical note

Publisher Copyright:
© 2024, International Press, Inc.. All rights reserved.

Keywords

differential operator
holomorphic connection
Projective structure
symplectic form

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10.4310/PAMQ.241105045914

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AB - We investigate projective structures on compact Riemann surfaces from an algebro-geometric point of view. In particular, algebro-geometric description of the natural local system on X associated to a projective structure on X is given. Also, the symplectic form on the moduli space of projective structures is described using [BL].

KW - differential operator

KW - holomorphic connection

KW - Projective structure

KW - symplectic form

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On the projective structures on Riemann surfaces

Abstract

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Keywords

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