Arithmetic Study Group: Slope for families of curves
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.