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Two counterexamples stemming from Raynaud's surfaces

张磊 教授(中国科学技术大学)
Thursday, July 30th, 2020, 1:30 PM  腾讯会议 440 891 439
报告地点:腾讯会议 440 891 439

报告摘要:Subadditivity of Kodaira dimensions and adjoint linear system are two classical problems in the classification of varieties. Concerning the two problems in characteristic p, for a long time, we have the same expectations as in characteristic zero, namely, the so called Iitaka conjecture and Fujita conjecture. But we constructed counterexamples last year, which stem from the construction of Raynauld's surfaces. In this talk, we will talk about our examples and propose reasonable expectations. These are joint work with Y. Gu, Y. Zhang, P. Cascini, S. Ejiri and J. Kollar.
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