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Grothendieck-Riemann-Roch and the moduli of Enriques surfaces

G. Pappas

math.AGarXiv:math/0701546

Abstract

We give a short and "classical" proof of Borcherds' theorem that the moduli space of Enriques surfaces is quasi-affine. The use of the Borcherds' product is replaced in our proof by an application of the Grothendieck-Riemann-Roch theorem.

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