Fundamental groups of spaces of holomorphic maps and group actions

Yamaguchi, Kohhei

J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 479-492 / Harvested from Project Euclid

Résumé

For integers $d \geq 0$ and $1 \neq k \neq n$, let $\mathrm{Hol}_{d}(\mathbb{C}P^{k},\mathbb{C}P^{n})$ denote the space consisting of all holomorphic maps $f : \mathbb{C}P^{k}\to \mathbb{C}P^{n}$ of degree $d$. We shall compute the fundamental group of $\mathrm{Hol}_{d}(\mathbb{C}P^{k},\mathbb{C}P^{n})$ and study $\mathrm{PGL}_{n+1}(\mathbb{C})$-action on it.

Publié le : 2004-05-15
Classification: 55P10, 55P15, 55P35, 58D15

@article{1250283079,
     author = {Yamaguchi, Kohhei},
     title = {Fundamental groups of spaces of holomorphic maps and group actions},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 479-492},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283079}
}

Yamaguchi, Kohhei. Fundamental groups of spaces of holomorphic maps and group actions. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  479-492. http://gdmltest.u-ga.fr/item/1250283079/