讲座题目:Strong non-vanishing of cohomologies and strong non-freeness of adjoint line bundles on n-Raynaud surfaces
主 讲 人:张永明 (中国矿业大学)
讲座时间:2022年10月28日(周五)上午9:00-10:00
讲座地点:腾讯会议室 446683703
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讲座简介:
In this talk, we first introduce the definition of n-Tango curves and n-Raynaud surfaces, and then talk about some pathologies on an n-Raynaud surface. We will see that the larger the number n is the more pathologies the surface catches, such as strong Kodaira non-vanishing and the strong non-freeness of adjoint line bundles. And as a corollary, we give a simple disproof of Fujita's conjecture avoiding so many tedious computations.
主讲人简介:
张永明,博士毕业于中科院数学所, 师从代数几何专家孙笑涛教授,曾在复旦大学, 中山大学(珠海)工作, 现任中国矿业大学数学学院副教授、硕士生导师。主要从事代数几何学的研究。主持国家青年基金、江苏省双创博士等, 已在国内外重要杂志发表学术论文若干。