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Some Modular Forms Related to Cubic Surfaces
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Abstract
The paper contains a thorough investigation of modular forms on a certain orthogonal group of signature (2;8). Main tools are the lifting constructions of Borcherds.These results can be applied to a unitary group of signature (1;4) which occurs as sub group of the orthogonal group. This unitary group is related to cubic surfaces. Some of the results of this paper have been used without proof in a joint paper with D. Allcock: Cubic Surfaces and Borcherds Products in Commentarii Math. Helv., Vol. 77(Issue 2), 270{296, (2002).
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