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G'eom'etrie alg'ebrique/Algebraic geometry A Complex Hyperbolic Structure for Moduli of Cubic Surfaces
 

Summary: 
G'eom'etrie alg'ebrique/Algebraic geometry


A Complex Hyperbolic Structure for Moduli of Cubic Surfaces


Daniel Allcock, James A. Carlson, and Domingo Toledo

Department of Mathematics
University of Utah
Salt Lake City, Utah, USA.
E-mail: allcock, carlson and toledo at math.utah.edu


Abstract. We show that the moduli space M of marked cubic surfaces is biholomor*
*phic
to (B4 - H)= 0 where B4 is complex hyperbolic four-space, where 0 is a specifi*
*c group
generated by complex reflections, and where H is the union of reflection hyperp*

  

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

 

Collections: Mathematics