中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： Prof. Liu Qing(Institut de Mathématiques de Bordeaux Université Bordeaux 1)
题 目：Hypersurfaces in projective schemes and a moving lemma
时 间：06.25（星期四）, 15:00--16:00
地 点：数学院南楼N820室
摘 要：Let X be a projective scheme over a commutative ring. Let F be a subset of X with some mild finiteness conditions. We show that there is a hypersurface in X which does not meet F. We will give various applications of this statement, especially a moving lemma for horizontal curves in a regular projective scheme over the ring of integers.
This is a joint work with O. Gabber and D. Lorenzini.