Moduli spaces $M_{g,n}(W)$ for surfaces

Mathematics – Algebraic Geometry

Scientific paper

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21 pages, written in AMS-LaTeX

Scientific paper

We construct and prove the projectiveness of the moduli spaces which
are natural generalizations to the case of surfaces of the following:
1) $M_{g,n}$, the moduli space of $n$-marked stable curves,
2) $M_{g,n}(W)$, the moduli space of $n$-marked stable maps to a variety $W$.

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