Invariants of Binary Forms
Algebraic Geometry
2012-09-04 v1
Abstract
Basic invariants of binary forms over up to degree 6 (and lower degrees) were constructed by Clebsch and Bolza in the 19-th century using complicated symbolic calculations. Igusa extended this to algebraically closed fields of any characteristic using difficult techniques of algebraic geometry. In this paper a simple proof is supplied that works in characteristic and uses some concepts of invariant theory developed by Hilbert (in characteristic 0) and Mumford, Haboush et al. in positive characteristic. Further the analogue for pairs of binary cubics is also treated.
Keywords
Cite
@article{arxiv.1209.0446,
title = {Invariants of Binary Forms},
author = {Vishwanath Krishnamoorthy and Tanush Shaska and Helmut Voelklein},
journal= {arXiv preprint arXiv:1209.0446},
year = {2012}
}