Tautological rings of stable map spaces

Details Tautological rings of stable map spaces Tautological rings of stable map spaces

2006-07-18

arxiv.org/abs/math/0607432v2

Mathematics

Algebraic Geometry

some typos corrected

Scientific paper

We find a set of generators and relations for the system of extended
tautological rings associated to the moduli spaces of stable maps in genus
zero, admitting a simple geometrical interpretation. In particular, when the
target is $\PP^n$, these give a complete presentation for the cohomology and
Chow rings in the cases with/without marked points.

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