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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 …
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) \ …