On Betti Numbers between the Moduli Spaces of Stable Maps and Branchvarieties
نویسنده
چکیده
Let M0,n(r, d) be the coarse moduli space of stable maps of degree d from npointed genus 0 nodal curves to Pr. Let B0,n(r, d) be the coarse moduli space of n-pointed branchvarieties of Pr with reduced and connected 1-dimensional domain and fixed Hilbert polynomial h(m) = dm+1. In [AL06], we prove that there is a surjective birational (small) morphism φ : M0,n(r, d) −→ B0,n(r, d). In this paper, we give combinational formulae on the Betti numbers between M0,n(r, d) and B0,n(r, d).
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