Grothendieck-Riemann-Roch and the moduli of Enriques surfaces

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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.
5 pages

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