Irregular threefolds with nef anticanonical divisors in positive characteristic

发布时间:2024-08-28

Title: Irregular threefolds with nef anticanonical divisors in positive characteristic

Speaker: Zhan Li (Southern University of Science and Technology)


日期 Date: 13 Sept, 2024

时间 Time15:30-16:30

地点 Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)

Zoom Meeting ID: 262 865 5007

Passcode: YMSC


Abstract: The positivity of anticanonical divisors imposes strong constraints on the geometry of algebraic varieties. Over the complex numbers, it has been proven that the Albanese morphism of varieties with nef anticanonical divisors are isotrivial fibrations. Similar results have been established in positive characteristic, provided that the fibers have good singularities. In this talk, I will present our recent results on the structures of Albanese morphisms for varieties with nef anticanonical divisors, given these morphisms have relative dimension 1 and the anticanonical divisors are relatively ample. This is a joint work with Tongji Gao and Lei Zhang.