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Seminar of Algebraic Geometry in East Asia
 
9:00 - 10:00, February 5, 2021 (Friday)
broadcast in Room 515, Cosmology Bldg., Online seminar
(線上演講 於宇宙學大樓515教室收播)
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 , 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.
 

Join Zoom Meeting:

https://zoom.us/j/94787937855?pwd=c2FiS3VGaGowUGRpcTVoenJqZW8rQT09
Meeting ID: 947 8793 7855
Passcode: 323472



 

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