Real K3 surfaces with non-symplectic holomorphic involutions and their degenerations

2015 Fiscal Year Final Research Report

• Project/Area Number: 25610001
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Algebra
• Research Institution: Hokkaido University of Education
• Principal Investigator: Saito Sachiko 北海道教育大学, 教育学部, 准教授 (40260400)
• Co-Investigator(Renkei-kenkyūsha): Taki Shingo 東海大学, 理学部, 講師 (30609714) ; Ohashi Hisanori 東京理科大学, 理工学部, 講師 (40547006) ; Ma Shohei 東京工業大学, 理学院, 准教授 (80633255)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: K3曲面 / エンリケス曲面 / 反シンプレクティック正則対合 / 格子 / 周期領域 / モジュライ / (-2)ベクトル / 退化

Outline of Final Research Achievements

I submitted my paper: "On real anti-bicanonical curves with one double point on the 4-th real Hirzebruch surface" to Journal of Singularities in 2013. The referee gave me valuable comments and important indications, that is, needlessness of one degeneration which I introduced, and requirements for the marking adapted to the orthogonal decomposition U+<-2>. I revised the paper and submitted it again. It was accepted in May 2014 and published in January 2015. I held Workshops on K3 surfaces and Enriques surfaces every summer during 2013--2015. Participants, including young talented mathematicians working for K3 surfaces and Enriques surfaces, discussed each other.

Free Research Field

幾何学