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Invariants of binary forms

Vishwanath Krishnamoorthy, Tanush Shaska, Helmut Völklein

I-AIMS paper 2004-3 · Published in Dev. Math. 12, Springer (2005), 101–122 · 2005

Basic invariants of binary forms over ℂ up to degree 6 (and lower degrees) were constructed by Clebsch and Bolza in the 19th 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 p > 5 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.

MSC classes: 13A50

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References

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