中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人: Pedro Montero(AMSS)
题 目:Fano threefolds with additive structure
时 间:2018.03.13(星期二),09 :00-10:00
地 点:数学院南楼N913室
摘 要:This is a joint work with Zhizhong Huang. Hasset and Tschinkel initiated the study of varieties which are equivariant compactifications of the additive group. These varieties have good arithmetic properties such as Batyrev-Manin's principle (concerning the distribution of rational points on Fano varieties defined over number fields). In this talk, we will discuss how the works of Hasset and Tschinkel, Kishimoto, and Arzhantsev et al. fit all together with the classification of Mori and Mukai, allowing us to give the complete list of smooth "additive Fano threefolds".