Regular polynomial automorphisms in the space of planar quadratic rational maps

초록

In this paper, we describe the semistable quotient of the set of regular polynomial automorphisms H-2(2) in the semistable locus of the moduli space of quadratic rational maps, using the portrait moduli space of rational maps with a fixed point. We also provide the parametrization of H-2(2) using two invariants, det f and tr f.

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