paper

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

arXiv:1202.2947 · doi:10.1112/S0010437X13007069

Abstract

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.

added Section 2.1 in which a general method is explained. to appear in Compositio Math

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