报告主题：曲线切割代数簇的奇点与合冲系
报告人：牛文博 Assistant Professor （University of Arkansas）
报告时间：2019年7月16日（周二）10:00
报告地点：校本部G508
邀请人：毛雪峰
报告摘要：Consider a projective nonsingular algebraic curve embedded in a projective space by a very ample line bundle. The (k + 1)-secant k-plan to the curve span the k-th secant variety of the curve. There has been a great deal of work in the last three decades to understand properties of such secant varieties, including their local properties,defining equations, and syzygies. In this talk, I will present a recent study on secant varieties of curves by showing the interaction between singularities and syzygies. The main idea in the talk is that if the degree of the embedding line bundle increases, then the properties of secant varieties become better. This is a joint work with L. Ein and J. Park.
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