Branched two-sheeted covers

Hershel M. Farkas; Irwin Kra

doi:10.1007/BF02775785

Branched two-sheeted covers

Hershel M. Farkas^*, Irwin Kra

^*Corresponding author for this work

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

In this paper we explore the connection between Weierstrass points of subspaces of the holomorphic differentials and the geometry of the canonical curve in PC^g-1. In particular, we consider non-hyperelliptic Riemann surfaces with involution and the Weierstrass points of the -1 eigenspace of the holomorphic differentials. The case of coverings of a torus is considered in detail.

Original language	English
Pages (from-to)	169-197
Number of pages	29
Journal	Israel Journal of Mathematics
Volume	74
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02775785
State	Published - Oct 1991

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10.1007/BF02775785

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title = "Branched two-sheeted covers",

abstract = "In this paper we explore the connection between Weierstrass points of subspaces of the holomorphic differentials and the geometry of the canonical curve in PC g-1. In particular, we consider non-hyperelliptic Riemann surfaces with involution and the Weierstrass points of the -1 eigenspace of the holomorphic differentials. The case of coverings of a torus is considered in detail.",

author = "Farkas, {Hershel M.} and Irwin Kra",

year = "1991",

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AU - Kra, Irwin

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AB - In this paper we explore the connection between Weierstrass points of subspaces of the holomorphic differentials and the geometry of the canonical curve in PC g-1. In particular, we consider non-hyperelliptic Riemann surfaces with involution and the Weierstrass points of the -1 eigenspace of the holomorphic differentials. The case of coverings of a torus is considered in detail.

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JO - Israel Journal of Mathematics

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Branched two-sheeted covers

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