Back to Algebraic Geometry Seminar: Spring 2011
Algebraic Geometry Seminar
Date: Tuesday, Feb 8, 2011
Time: 3:30PM - 4:30PM
Location: LCB 323
Daniel Erman
Stanford
Title |
Sextic covers and Gale duality |
Abstract |
The moduli space of n to 1 covers is well understood for n at most 5, and it turns that these moduli spaces are best understood in terms of a rather concrete question: when can the ideal of n points in projective space be generated by the minors of a matrix of linear forms? I will first explain some of what was previously known about the moduli of degree n covers, and then I will discuss some recent work on the case of sextic covers. In particular, by illustrating a connection with Gale duality, we identify local and global obstructions to extending previous structural theorems to the sextic case. This is joint work with Melanie Matchett Wood. |
Algebraic Geometry