Rationality of fields of invariants for some representations of SL(2)timesSL(2)
classification
🧮 math.AG
keywords
timesslbidegreecurvesevenfieldsinvariantsprovequotient
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We prove that the quotient by SL(2)\timesSL(2) of the space of bidegree (a, b) curves on P^1\timesP^1 is rational when ab is even and a\not=b.
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