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Xiao's Conjecture on Canonically Fibered Surfaces

陈晞 教授(University of Alberta)
2014年7月11日(周五)上午10:00-11:00  闵行数学楼102 报告厅
 
摘要
A canonically fibered surface is a surface whose canonical series maps it to a curve. Using Miyaoka-Yau inequality, A. Beauville proved that a canonically fibered surface has relative genus at most $5$ when its geometric genus is sufficiently large. G. Xiao further conjectured that the relative genus cannot exceed $4$. In this talk, I will give a sketch of my proof of this conjecture.
   
 
 
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