8 papers · 1 filter
Classical and minimal models of the moduli space of curves of genus two
Brendan Hassett
This semi-expository paper discusses the log minimal model program as applied to the moduli space of curves, especially in the case of curves of genus two. Log canonical models for…
Universal torsors and Cox rings
Brendan Hassett, Yuri Tschinkel
We study the equations of universal torsors on rational surfaces.
Integral points and effective cones of moduli spaces of stable maps
Brendan Hassett, Yuri Tschinkel
Consider the Fulton-MacPherson configuration space of points on , which is isomorphic to a certain moduli space of stable maps to . We compute the cone of effective $…
Moduli spaces of weighted pointed stable curves
Brendan Hassett
A weighted pointed curve consists of a nodal curve and a sequence of marked smooth points, each assigned a number between zero and one. A subset of the marked points may coincide i…
On the effective cone of the moduli space of pointed rational curves
Brendan Hassett, Yuri Tschinkel
We compute the effective cone for the moduli space of stable rational curves with at most six marked points.
Density of integral points on algebraic varieties
Brendan Hassett, Yuri Tschinkel
We study the distribution of integral points on log varieties.