Here we investigate rational cohomology of the moduli space of stable maps to the complex projective line with a purely algebro-pgeometric approach. In particular, we prove vanishing theorems for all its odd Betti numbers, and we give an explicit description by generators and relations of its second cohomology group.
On the cohomology of $\overline{\scr M}\sb {0,n}(\Bbb P\sp 1,d)$ / Bini Gilberto, Fontanari Claudio. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 4:4(2002), pp. 751-761.
On the cohomology of $\overline{\scr M}\sb {0,n}(\Bbb P\sp 1,d)$
Bini Gilberto;
2002
Abstract
Here we investigate rational cohomology of the moduli space of stable maps to the complex projective line with a purely algebro-pgeometric approach. In particular, we prove vanishing theorems for all its odd Betti numbers, and we give an explicit description by generators and relations of its second cohomology group.
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