吴文俊数学重点实验室代数学系列讲座之四十四

报告题目：Iitaka conjecture of fibrations of relative dimension 1 in characteristic p

报 告 人：张磊博士     陕西师范大学

报告时间：2013年4月16日 上午10:00-11:30

报告地点：管理科研楼1518室

摘要：For a fibration f: X ------>Y, Iitaka conjecture states that k(X) >= k(Y) + k(F) where k(-) denotes the Kodaira dimension of a variety, F denotes a fiber. Iitaka conjecture over complex numbers has been studied a lot, and little is known in characteristic p-------the main difficulty is the lack of smooth resolutions of varieties. In this talk we will mainly prove Iitaka conjecture for fibrations of relative dimension 1 in characteristic p, and also we will introduce the development of Iitaka conjecture in char 0. The idea is from Viehweg, we will give a skech and point out how to avoid resolutions. The main tools are stablization of fibrations and comparing the ralative canonical sheaves or dualizing sheaves under base changes.

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          中科院吴文俊数学重点实验室

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