%0 Journal Article %T Rationality of fields of invariants for some representations of SL(2)\timesSL(2) %A Shouhei Ma %J Mathematics %D 2012 %I arXiv %R 10.1112/S0010437X13007069 %X 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. %U http://arxiv.org/abs/1202.2947v2