中国科学院数学与系统科学研究院
数学研究所
学术报告
代数几何研讨班
Speaker: 陈伊凡 副教授 （北京航空航天大学）
Title: Mori Dreamness of Fake Quadrics
Time&Venue: 2025.4.1（周二）10:00-11:30 & 晨兴410
Abstract: In this talk, I will talk about fake quadrics (smooth minimal complex surfaces of general type with pg = 0 and K2 = 8). These surfaces have the same Betti numbers as smooth quadrics in P3. I will briefly explain known results about fake quadrics: examples, birational maps and involutions. Then I will talk about the Mori dreamness of fake quadrics. I will explain that the Shavel type fake quadrics are not Mori dream spaces, based on the recent joint work with Paolo Cascini, Fabrizio Catanese and JongHae Keum