Gaussian curvature at the hyperelliptic Weierstrass points
Differential Geometry
2012-03-06 v2
Abstract
Let C be a hyperelliptic Riemann surface. We show that the hyperelliptic Weierstrass points of C are non-degenerated critical points of Morse index +2 of the curvature function K of the Theta metric on C (called also Bergman metric). When the genus of C is two, we compute all critical points of K and we show in this case that K is a Morse function.
Cite
@article{arxiv.math/0703075,
title = {Gaussian curvature at the hyperelliptic Weierstrass points},
author = {Abel Castorena},
journal= {arXiv preprint arXiv:math/0703075},
year = {2012}
}
Comments
The paper has been withdrawn by the author