Rationality of fields of invariants for some representations of SL(2)$\times$SL(2)

Details Rationality of fields of invariants for some representations of SL(2)$\times$SL(2) Rationality of fields of invariants for some representations of SL(2)$\times$SL(2)

2012-02-14

arxiv.org/abs/1202.2947v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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