On the Wronskian combinants of binary forms

Details On the Wronskian combinants of binary forms On the Wronskian combinants of binary forms

2005-07-23

arxiv.org/abs/math/0507488v1

Mathematics

Algebraic Geometry

16 pages, LaTeX

Scientific paper

For generic binary forms $A_1,...,A_r$ of order $d$ we construct a class of combinants $C = \{\C_q: 0 \le q \le r, q \neq 1\}$, to be called the Wronskian combinants of the $A_i$. We show that the collection $C$ gives a projective imbedding of the Grassmannian $G(r,S_d)$, and as a corollary, any other combinant admits a formula as an iterated transvectant in the $C$. Our second main result characterizes those collections of binary forms which can arise as Wronskian combinants. These collections are the ones such that an associated algebraic differential equation has the maximal number of linearly independent polynomial solutions. Along the way we deduce some identities which connect Wronskians with transvectants.

Affiliated with

Also associated with

No associations

Rating

On the Wronskian combinants of binary forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Wronskian combinants of binary forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Wronskian combinants of binary forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-544709