A natural smooth compactification of the space of elliptic curves in projective space via blowing up the space of stable maps
نویسندگان
چکیده
The moduli space of stable maps Mg,k(X, β) to a complex projective manifold X (where g is the genus, k is the number of marked points, and β ∈ H2(X,Z) is the image homology class) is the central tool and object of study in Gromov-Witten theory. The open subset corresponding to maps from smooth curves is denoted Mg,k(X, β). The protean example is M0,k(P , d). This space is wonderful in essentially all ways: it is irreducible, smooth, and contains M0,k(P , d) as a dense open subset. The boundary ∆ := M0,k(P , d) \M0,k(P , d)
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A Natural Smooth Compactification of the Space of Elliptic Curves in Projective Space
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