Special values of canonical Green’s functions
Identifieur interne : 000132 ( Main/Exploration ); précédent : 000131; suivant : 000133Special values of canonical Green’s functions
Auteurs : Robin De Jong [Pays-Bas]Source :
- Mathematische Zeitschrift [ 0025-5874 ] ; 2013-06-01.
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Abstract
Abstract: We give a precise formula for the value of the canonical Green’s function at a pair of Weierstrass points on a hyperelliptic Riemann surface. Further we express the ‘energy’ of the Weierstrass points in terms of a spectral invariant recently introduced by N. Kawazumi and S. Zhang. It follows that the energy is strictly larger than log 2. Our results generalize known formulas for elliptic curves.
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DOI: 10.1007/s00209-012-1064-2
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