Please use this identifier to cite or link to this item: https://doi.org/10.1353/ajm.2012.0007
Title: Injectivity radius and gonality of a compact Riemann surface
Authors: Hwang, J.-M.
To, W.-K. 
Issue Date: Feb-2012
Source: Hwang, J.-M., To, W.-K. (2012-02). Injectivity radius and gonality of a compact Riemann surface. American Journal of Mathematics 134 (1) : 259-283. ScholarBank@NUS Repository. https://doi.org/10.1353/ajm.2012.0007
Abstract: We obtain a sharp lower bound for the volumes of purely 1-dimensional complex analytic subvarieties in a geodesic tubular neighborhood of the diagonal of the Cartesian product of a compact Riemann surface with itself. This leads to a lower bound of the Seshadri number of the canonical line bundle of the Cartesian product with respect to the diagonal. As a consequence, we obtain an upper bound for the hyperbolic injectivity radii of compact Riemann surfaces of a fixed gonality. In particular, we obtain the limiting behavior of the gonalities of a tower of compact Riemann surfaces. We also give an application of our results to an invariant related to the ample cone of the symmetric product of a Riemann surface. © 2012 by The Johns Hopkins University Press.
Source Title: American Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103430
ISSN: 00029327
DOI: 10.1353/ajm.2012.0007
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

2
checked on Feb 22, 2018

WEB OF SCIENCETM
Citations

3
checked on Jan 22, 2018

Page view(s)

45
checked on Feb 19, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.