A Compactification of the Space of Holomorphic Maps from ${\P }^1$ into ${\P }^r$

Jiayuan Lin

Let $M_d({\P }^r)$ be the space of $(r+1)$-tuples $(f_0,...,f_r)$ modulo homothety, where $f_0,...,f_r$ are homogeneous polynomials of degree $d$ in two variables. Let $M_{d}^{\circ}…