A MODULAR COMPACTIFICATION OF M1,n FROM A∞-STRUCTURES
نویسندگان
چکیده
We show that a certain moduli space of minimal A∞ -structures coincides with the modular compactification M1,n(n− 1) of M1,n constructed by Smyth in [22]. In addition, we describe these moduli spaces and the universal curves over them by explicit equations, prove that they are normal and Gorenstein, show that their Picard groups have no torsion and that they have rational singularities if and only if n ≤ 11.
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