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 …

In this paper we study the ample cone of the moduli space $\overline {M} _ {g, n} $ of stable
$ n $-pointed curves of genus $ g $. Our motivating conjecture is that a divisor on $\overline …

We compute the Mori cones of the moduli spaces $\overline M_ {g, n} $ of $ n $ pointed
stable curves of genus $ g $, when $ g $ and $ n $ are relatively small. For instance we …

The automorphism group of M0,n Page 1 DOI 10.4171/JEMS/382 J. Eur. Math. Soc. 15, 949–968
c European Mathematical Society 2013 Andrea Bruno · Massimiliano Mella The automorphism …

The moduli space of n-pointed stable curves of genus g is stratified by the topological type of
the curves being parameterized: the closure of the locus of curves with k nodes has …

Let ℳ¯ g, n be the moduli stack parametrizing Deligne–Mumford stable n‐pointed genus g
curves and let M¯ g, n be its coarse moduli space: the Deligne–Mumford compactification of …

The cones of effective, nef and moving divisors are determined for the moduli spaces M 3
and M 2, 1. Every nef Cartier divisor in both spaces is shown to be semi-ample in …

The moduli space Mg, n of smooth n-pointed curves of genus g, and its projective closure,
the Deligne-Mumford compactification Mg, n, is a classical object of study that reflects many …

Every area of mathematics is characterized by a guiding problem. In algebraic geometry
such problem is the classification of algebraic varieties. In its strongest form it means to …

The paper studies fiber type morphisms between moduli spaces of pointed rational curves.
Via Kapranov's description we are able to prove that the only such morphisms are forgetful …