A Complex Hyperbolic Structure for Moduli of Cubic Surfaces

Details A Complex Hyperbolic Structure for Moduli of Cubic Surfaces A Complex Hyperbolic Structure for Moduli of Cubic Surfaces

1997-09-12

arxiv.org/abs/alg-geom/9709016v1

Mathematics

Algebraic Geometry

Six pages, plain tex, available at http://www.math.utah.edu/~allcock

Scientific paper

10.1016/S0764-4442(97)82711-5

We show that the moduli space M of marked cubic surfaces is biholomorphic to
the quotient by a discrete group generated by complex reflections of the
complex four-ball minus the reflection hyperplanes of the group. Thus M carries
a complex hyperbolic structure: an (incomplete) metric of constant holomorphic
sectional curvature.

Affiliated with

Also associated with

No associations

Rating

A Complex Hyperbolic Structure for Moduli of Cubic Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Complex Hyperbolic Structure for Moduli of Cubic Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Complex Hyperbolic Structure for Moduli of Cubic Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118595