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CUBIC SURFACES AND BORCHERDS PRODUCTS DANIEL ALLCOCK AND EBERHARD FREITAG
 

Summary: 



CUBIC SURFACES AND BORCHERDS PRODUCTS



DANIEL ALLCOCK AND EBERHARD FREITAG


Abstract.We apply Borcherds' methods for constructing automorphic forms
to embed the moduli space M of marked complex cubic surfaces into CP9.
Specifically, we construct 270 automorphic forms on the complex 4-ball B*
*4,
automorphic with respect to a particular discrete group . We use the id*
*enti-
fication from [ACT2 ] of M with the Baily-Borel compactification of B4= *
*. Our
forms span a 10-dimensional space, and we exhibit the image of M in CP9 *

  

Source: Allcock, Daniel - Department of Mathematics, University of Texas at Austin

 

Collections: Mathematics