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Moduli of curves as moduli of A∞-structures

Moduli of curves as moduli of A∞-structures

We define and study the stack Ug,gns,a of (possibly singular) projective curves of arithmetic genus g with g smooth marked points forming an ample nonspecial divisor. We define an explicit closed embedding of a natural Gmg-torsor U˜g,gns,a over Ug,gns,a into an affine space, and we give explicit equations of the …