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5-09天元基金几何与随机分析及其应用交叉讲座之111【张通】


Title: Relative Clifford inequality, slope inequality and volume inequality

Speaker:张通教授 (华东师范大学)

Time:2018年5月9日    下午 16:00-17:00

Room:东区管理科研楼   1518

Abstract:

In this talk, I will introduce a Clifford inequality for special divisors on "relative" curves, namely varieties fibered by curves. I will also talk about how to apply such an inequality to deduce a slope inequality for higher dimensional families of curves, as well as a volume inequality for "relative" curves over varieties of maximal Albanese dimension. These results extend the previous work of Cornalba, Harris, Horikawa, Persson and Xiao to higher dimensions.

  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会