Quadratic Involutions on Binary Forms
Algebraic Geometry
2019-03-25 v3 Representation Theory
Abstract
There is a classical geometric construction which uses a binary quadratic form to define an involution on the space of binary d-ics. We give a complete characterization of a general class of such involutions which are definable using compound transvectant formulae. We also study the associated varieties of forms which are preserved by such involutions. Along the way we prove a recoupling formula for transvectants, which is used to deduce a system of equations satisfied by the coefficients in these involutions.
Cite
@article{arxiv.1008.3117,
title = {Quadratic Involutions on Binary Forms},
author = {Abdelmalek Abdesselam and Jaydeep Chipalkatti},
journal= {arXiv preprint arXiv:1008.3117},
year = {2019}
}
Comments
Typos in formula of Proposition 7.1 fixed