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The Rationality Problem in Invariant Theory

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Author(s): Christian Böhning

Publication date Created: 06 April 2009

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Abstract

This is a survey of the rationality problem in invariant theory. It also contains some new results, in particular in Chapter 2 on moduli spaces of plane curves with a theta-characteristic, and a detailed account of the relation of the Hesselink stratification of the Hilbert nullcone to the rationality problem, with an application to the rationality of the moduli space of plane curves of degree 34.

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Most cited references 6

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Some Elementary Examples of Unirational Varieties Which are Not Rational

M. Artin, A Mumford (1972)

0 comments Cited 73 times – based on 0 reviews      Review now

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Resolving G-torsors by abelian base extensions

P Gille, Z. Reichstein, V. Chernousov (2006)

0 comments Cited 13 times – based on 0 reviews      Review now

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Rationality of the moduli variety of curves of genus 3

P. Katsylo (1996)

0 comments Cited 12 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 06 April 2009

Article

ArXiV ID: 0904.0899

SO-VID: c6d541e2-fab9-4928-b1c9-b5861d1f7ff9

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Custom metadata

ACM classes 14E08; 14M20; 14L24

Comments 78 pages

Categories math.AG

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