Invariant theory for S 5 and the rationality of M 6
Compositio Mathematica, Tome 70 (1989) no. 1, pp. 13-25. 
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     title = {Invariant theory for $S_5$ and the rationality of $M_6$},
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     url = {http://archive.numdam.org/item/CM_1989__70_1_13_0/}
}
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Shepherd-Barron, N. I. Invariant theory for $S_5$ and the rationality of $M_6$. Compositio Mathematica, Tome 70 (1989) no. 1, pp. 13-25. http://archive.numdam.org/item/CM_1989__70_1_13_0/

1 F.A. Bogomolov and P.I. Katsylo: Rationality of some quotient varieties (in Russian), Mat. Sbornik 126 (1985), 584-589. | MR | Zbl

2 W. Fulton: Intersection Theory, Springer, 1984. | MR | Zbl

3 J.H. Grace and A. Young: The Algebra of invariants, Cambridge, 1903. | JFM

4 D. Mumford and J. Fogarty: Geometric Invariant Theory, 2nd edn., Springer, 1982. | MR | Zbl

5 J.G. Semple and L. Roth: Introduction to Algebraic Geometry, Oxford, 1949 (reprinted, 1985). | MR | Zbl

6 C.S. Seshadri: Geometric reductivity over an arbitrary base, Adv. in Math. 26 (1977), 225-274. | MR | Zbl

7 H. Weber: Lehrbuch der Algebra, vol. 1, Brunswick, 1898. | JFM