2000-08-01Buch DOI: 10.18452/2653
Virtual intersection numbers
We attempt to present the intersection theory which is required to understand the work of Kontsevich and Manin. Finally, we repeat their computations of intersection numbers in a concrete example. To do so, we study the moduli stack M of stable maps of degree two from rational curves to $P^1$. We show that its Picard group is infinite cyclic. We give an étale map from M to $P^2$ of degree ½. Eventually, we compute an intersection number which arises in Kontsevich's computation of the number of rational curves on the quintic threefold.
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Is Part Of Series: Preprints aus dem Institut für Mathematik - 13, Mathematik-Preprints, ISSN:0863-0976