Rationality and Chow-Kuenneth decompositions for some moduli stacks of curves
JN Iyer, S. Müller-Stach
| Number | 29 |
|---|---|
| Author | Stefan Müller-Stach |
| Year | 2009 |
In this paper, we show the existence of a Chow--Kuenneth decomposition for
the moduli stack of stable curves of genus g with r marked points, for low
values of g,r. We also look at the moduli space R of double covers of genus 3 curves, branched along 4 distinct points. We obtain a birational model of the
moduli space R as a group quotient of a product of two Grassmanian varieties.
This provides a Chow-Kuenneth decomposition over an open subset of R. The
question of rationality of R is also discussed.
