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arXiv:1202.2947 [math.AG]AbstractReferencesReviewsResources

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

Shouhei Ma

Published 2012-02-14, updated 2012-11-23Version 2

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.

Comments: added Section 2.1 in which a general method is explained. to appear in Compositio Math
Categories: math.AG
Subjects: 14L30, 14E08, 14H50
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