The rationality of some moduli spaces of plane curves
Compositio Mathematica, Volume 67 (1988) no. 1, p. 51-88
@article{CM_1988__67_1_51_0,
author = {Shepherd-Barron, N. I.},
title = {The rationality of some moduli spaces of plane curves},
journal = {Compositio Mathematica},
volume = {67},
number = {1},
year = {1988},
pages = {51-88},
zbl = {0661.14022},
mrnumber = {949271},
language = {en},
url = {http://www.numdam.org/item/CM_1988__67_1_51_0}
}

Shepherd-Barron, N. I. The rationality of some moduli spaces of plane curves. Compositio Mathematica, Volume 67 (1988) no. 1, pp. 51-88. http://www.numdam.org/item/CM_1988__67_1_51_0/

1 A. Beauville, J.-L. Colliot-Thélène, J.-J. Sansuc and Sir Peter Swinnerton-Dyer: Variétés stablement rationelles non-rationelles, Annals of Math. 121 (1985) 283-318. | MR 786350 | Zbl 0589.14042

2 F. Bogomolov: Stable rationality of quotient varieties by simply-connected groups, Mat. Sbornik 130 (1986) 3-17. | MR 847340 | Zbl 0615.14031

3 F. Bogomolov and P. Katsylo: Rationality of some quotient varieties, Mat. Sbornik 126 (1985) 584-589. | MR 788089 | Zbl 0591.14040

4 J.H. Grace and W.H. Young: The Algebra of Invariants (1903). | JFM 34.0114.01

5 E.S. Gradshtein and I.M. Ryzhik: Tables of Integrals, Series and Products (1980).

6 W. Haboush: Brauer groups of homogeneous spaces I. In: F. van Oystaeyen (ed.), Proc. NATO Summer School, Antwerp (1983). | MR 770586 | Zbl 0569.14025

7 R. Hall: On algebraic varieties possessing finite continuous groups of self-transformations, J. London Math. Soc. 30 (1955) 507-511. | MR 73276 | Zbl 0065.14001

8 S. Mukai: Curves, K3 surfaces and Fano threefolds that are complete intersections in homogeneous spaces (unpublished manuscript).

9 D. Mumford and J. Fogarty: Geometric Invariant Theory, 2nd edn. (1982). | MR 719371 | Zbl 0504.14008

10 M. Rosenlicht: Some basic theorems on algebraic groups, Amer. J. Math. 78 (1956) 401-443. | MR 82183 | Zbl 0073.37601

11 D. Saltman: Noether's problem over an algebraically closer field, Inv. Math. 77 (1984) 71-84. | MR 751131 | Zbl 0546.14014

12 E.B. Vinberg: Rationality of the field of invariants of a triangular group, Moscow Univ. Math. Bulletin 37 (1982) 27-29. | MR 655396 | Zbl 0524.14014

13 H. Weyl: The Classical Groups, 2nd edn (1946).

14 J.E. Humphreys: Introduction to Lie Algebras and Representation Theory. Springer (1972). | MR 323842 | Zbl 0254.17004