Nef divisors in codimension one on the moduli space of stable curves
Atsushi Moriwaki
Abstract
Let Mg be the moduli space of smooth curves of genus g >= 3, and Mg the Deligne-Mumford compactification in terms of stable curves. Let Mg[1] be an open set of Mg consisting of stable curves of genus g with one node at most. In this paper, we determine the necessary and sufficient condition to guarantee that a Q-divisor D on Mg is nef over Mg[1], that is, (D . C) >= 0 for all irreducible curves C on Mg with C Mg[1] = .
Create a lesson
Related papers
Morphism spaces on low degree hypersurfaces
Hrishabh Mishra
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
Connor Stewart
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart