We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: Slope for families of curves

Presented by Tong Zhang, Durham University

16 February 2016 14:00 in CM 107

In this talk, I will introduce a notion of the slope for families of curves and review some meaningful bounds of the slope, including the Riemann-Roch theorem for curves and Cornalba-Harris-Xiao inequality for one dimensional families of curves. Then I will state a lower bound of the slope for two dimensional families of curves. If time permits, the Arakelov version of the slope will also be discussed.

Contact or for more information