Bounds for canonical Green's function at cusps

Abstract

In this article, we derive bounds for the canonical Green's function defined on a noncompact hyperbolic Riemann surface, when evaluated at two inequivalent cusps.

20 pages. arXiv admin note: text overlap with arXiv:1310.4336, arXiv:1401.4682

References in corpus (4)

• Self-intersection of the relative dualizing sheaf on modular curves $X_1(N)$
• On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces
• Extension of a key identity
• Bounds for Green's functions on noncompact hyperbolic Riemann orbisurfaces of finite volume