题目：Singularities and syzygies of secant varieties of curves.
报告人：牛文博教授（University of Arkansas）
时间：2019年7月15日 9：50-10：50
地点：数学楼307
摘要：Consider a projective nonsingular algebraic curve embedded in a projec-
tive 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.