Abel–Jacobi map and curvature of the pulled back metric

Let X be a compact connected Riemann surface of genus at least two. The Abel–Jacobi map φ:Symd(X)→Picd(X) is an embedding if d is less than the gonality of X. We investigate the curvature of the pull-back, by φ, of the flat metric on Picd(X). In particular, we show that when d = 1, the curvature is...

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Bibliographic Details
Main Author: Indranil Biswas
Format: Article
Language:English
Published: World Scientific Publishing 2021-04-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:http://www.worldscientific.com/doi/epdf/10.1142/S1664360720500149