On Sunday, May 31, 2020 at 12:41:52 PM UTC-7, Michael Jung wrote: > > Thanks for your reply. Actually, I consider a commutative sub-algebra > here. What do you mean by "taking fibers of [my] sheaf"? >
Specialize to the exterior product algebra of the cotangent space at a point. So, at that point you get a vector in the vector space spanned by elements of the form dz_1 wedge ... wedge dz_r, with coefficients in your base field (perhaps better to take exactly representable field elements; otherwise you get additional numerical problems on top) You can do the linear algebra operations you want to do there (say, take a determinant or so -- if your vector space admits that operation). Once you have that at a bunch of points, you can interpolate. To get proven results you'd need some a priori finite dimensional vector space of sections (e.g. a degree bound on the polynomial you're trying to interpolate) and a guarantee that your interpolation points are well-distributed and sufficiently plentiful, so that interpolation gives a unique result. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/66cfa6ee-5466-4657-a3b1-6b43c36f6b4b%40googlegroups.com.
