Back to Commutative Algebra Seminar: Spring 2018
Commutative Algebra Seminar
Date: Friday, Apr 13, 2018
Time: 2:30PM - 3:20PM
Location: LCB 222
Mengyuan Zhang
University of California, Berkeley
Title |
Curves on a smooth cubic surface in P3 |
Abstract |
We present results on the geometry and cohomology of effective divisors on a smooth cubic surface in P3. We study the linear systems using Zariski decomposition, and determine their cohomologies. Furthermore, we study the Hartshorne-Rao modules of the curves, and determine the degrees of their generators. Altogether, we show how to determine the free resolution of such curves from counting of secant lines. The results are based on the work of Maggioni and Giuffrida, but include corrections to several main theorems as well as simplification and generalization. |
Commutative Algebra