Back to Commutative Algebra Seminar: Spring 2018
Commutative Algebra Seminar
Date: Friday, Apr 6, 2018
Time: 2:30PM - 3:20PM
Location: LCB 222
Pablo Solis
Stanford University
Title |
Hunting Vector Bundles on P1 x P1 |
Abstract |
A vector bundle on a projective variety has natural cohomology if every twist has cohomology concentrated in a single degree. Such vector bundles form extremal rays in the cone of cohomology tables of vector bundles. This cone was studied by Eisenbud and Schreyer in connection with Boij-Soederberg theory. Eisenbud and Schreyer considered the natural generalization of the cone of cohomology tables to the bi-graded setting of P1 x P1. They conjectured that there should exist vector bundles on P1 x P1 with natural cohomology with essentially prescribed Hilbert polynomial. In this talk I’ll state the conjecture precisely and prove it in “most” cases. |
Commutative Algebra