Complex Analysis and Geometry Seminar
ALG Ricci-flat Kähler 3-folds of Schwartz decay
Yuanqi Wang (The University of Kansas)
Location: Hill Center Room 705
Date & time: Friday, 17 February 2023 at 10:30AM - 11:30PM
Abstract: ALG gravitational instantons i.e. non-compact complete hyper-K”ahler surfaces asymptotic to a twisted product of the complex plane and an elliptic curve, are intensively studied. Following the classical work of Tian-Yau and Hein etc on Monge-Ampere methods for Ricci flat K”ahler metrics on quasi-projective varieties, we provide an geometric existence theorem for generalized ALG Ricci flat K”ahler 3-folds on isotrivial K3 fibrations/crepant resolutions. These metrics decay to the ALG model in any poly-nomial rate, and topogical numbers/data can be calculated.