AffineChartGrass -- use an affine chart on the Grassmannian

Synopsis

• Usage:

  AffineChartGrass => l

Description

This is an optional input for methods that involve computations on Grassmannians. The argument l can be a list of $k+1$ distinct integers between 0 and $n$, corresponding to an affine chart $U$ on the Grassmannian $\mathbb{G}(k,n)$. This indicates to the method that should perform internal computations using the chart $U$. Set this to false (resp. true) to not use any chart (resp. to use a random chart).

See also

• chowForm -- Chow form of a projective variety
• fromPluckerToStiefel -- convert from Plücker coordinates to Stiefel coordinates
• hurwitzForm -- Hurwitz form of a projective variety
• isCoisotropic -- whether a hypersurface of a Grassmannian is a tangential Chow form
• tangentialChowForm -- higher Chow forms of a projective variety

Functions with optional argument named AffineChartGrass:

• chowForm(...,AffineChartGrass=>...)
• fromPluckerToStiefel(...,AffineChartGrass=>...)
• hurwitzForm(...,AffineChartGrass=>...)
• isCoisotropic(...,AffineChartGrass=>...)
• plucker(...,AffineChartGrass=>...)
• tangentialChowForm(...,AffineChartGrass=>...)