An elementary {GIT} construction of the moduli space of stable maps
Parker, Adam E.
Illinois J. Math., Tome 51 (2007) no. 3, p. 1003-1025 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
This paper provides an elementary construction of the moduli space of stable maps $\overline{M}_{0,0}(\mathbb{P}^r,d)$ as a sequence of "weighted blow-ups along regular embeddings" of a projective variety. This is a corollary to a more general GIT construction of $\overline{M}_{0,n}(\mathbb{P}^r,d)$ that places stable maps, the Fulton-MacPherson space $\mathbb{P}^1[n]$, and curves $\overline{M}_{0,n}$ into a single context.
Publié le : 2007-07-15
Classification:  14D20,  14H10,  14L24 
@article{1258131115,
     author = {Parker, Adam E.},
     title = {An elementary {GIT} construction of the moduli space of stable maps},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 1003-1025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131115}
}

Parker, Adam E. An elementary {GIT} construction of the moduli space of stable maps. Illinois J. Math., Tome 51 (2007) no. 3, pp.  1003-1025. http://gdmltest.u-ga.fr/item/1258131115/