题目：一般型曲面上半稳定曲线束中的奇异曲线的条数

报告人：吕鑫 德国美因茨大学

时间：10月17日 周一 10:00-11:00

地点：管研楼1208

摘要：We present two different ways to show that for a semi-stable fibration f: S \to P^1 of curves of genus g \geq 2 over P^1, there exist at least 7 singular fibers provided that S is a surface  of general type.The first one is based the Arakelov type inequality for the direct image of the relative pluri-canonical sheaves; while the second one relies on the variation of Hodge structures of a Techmuller curve. The first technique applies also to the high  dimension case,and the second one works also for surfaces with non-negative Kodaira dimension. This is a joint work with Shengli Tan and Kang Zuo.

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