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Published on Oct 4, 2007
A classical question in algebraic geometry is how many cone-singularities a surface of a given degree can have. For degree 7 surfaces this problem is still unsolved. The movie shows part of a septic found by Oliver Labs in 2006. It has 99 cone-singularities (not all can be seen in this movie). By works of Chmutov, Breske, Labs and van Straten it is known that no more than 104 cone-singularities are possible.
This movie was made using surfex. A higher resolution version can be found at