Methods and Applications of Analysis
Volume 24 (2017)
Special issue dedicated to Henry B. Laufer on the occasion of his 70th birthday: Part 1
Guest Editors: Stephen S.-T. Yau (Tsinghua University, China); Gert-Martin Greuel (University of Kaiserslautern, Germany); Jonathan Wahl (University of North Carolina, USA); Rong Du (East China Normal University, China); Yun Gao (Shanghai Jiao Tong University, China); and Huaiqing Zuo (Tsinghua University, China)
Certain normal surface singularities of general type
Pages: 71 – 97
Koyama’s inequality for normal surface singularities gives the upper bound on the self-intersection number of the canonical cycle in terms of the arithmetic genus. For those singularities of fundamental genus two attaining the bound, a formula for computing the geometric genus is shown and the resolution dual graphs are roughly classified. In Gorenstein case, the multiplicity and the embedding dimension are also computed.
even singularity, canonical cycle, Yau cycle, maximal ideal cycle
2010 Mathematics Subject Classification
Partly supported by Grants-in-Aid for Scientific Research (A) (No. 24244002) by Japan Society for the Promotion of Science (JSPS).
Paper received on 31 January 2016.