Asymptotics of degenerating Eisenstein series
Abstract
Description
We give some estimates for the asymptotic orders of degenerating Eisenstein series for some families of degenerating punctured Riemann surfaces, which is motivated by the question identifying $L_{2}$-cohomology of the Takhtajan-Zograf metric that is originally asked by To and Weng.
11 pages, the corrected version
11 pages, the corrected version