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Rationality of fields of invariants for some representations of SL2 × SL2
Published online by Cambridge University Press: 22 May 2013
Abstract
We prove that the quotient by ${\mathrm{SL} }_{2} \times {\mathrm{SL} }_{2} $ of the space of bidegree $(a, b)$ curves on ${ \mathbb{P} }^{1} \times { \mathbb{P} }^{1} $ is rational when $ab$ is even and $a\not = b$.
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- Research Article
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- © The Author(s) 2013
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