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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

5 votes

Implement intersection products

Schubert2 in Macaulay2 and the original maple package schubert let you build enough of the chow rings of parameter spaces to tackle some enumerative geometry problems like those of "Kalkül der abzähle …
Jan-Magnus Økland's user avatar
3 votes

how many bitangents on this hypotrochoid?

Too long for a comment. Using GKZ p. 17, a parametric representation of the dual curve is: $$X={\frac {8}{7}}\,{\frac {\cos \left( \theta \right) \left( -7+128\, \left( \cos \left( \theta \right) \ …
Jan-Magnus Økland's user avatar