broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Counterexample to Fujita Conjecture in Positive Characteristic
Lei Zhang (University of Science and Technology of China)
Abstract:
Fujita conjecture was proposed over complex numbers, which predicts that for a smooth projective variety $X$ and an ample line bundle L on
,
L%24&chf=bg,s,333333&chco=ffffff)
is base point free and
is very ample if
. Joint with Yi Gu, Yongming Zhang, we find counterexamples to this elegant conjecture in positive characteristic. These examples stem from Raynaud’s surfaces. I will first report some related results on this topic and explain the construction and the proof.
