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Rank One Orbit Closures in \(\varvec{\mathcal {H}}^{\varvec{\lowercase {hyp}}}(\varvec{\lowercase {g}}-1,\varvec{\lowercase {g}}-1)\)

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Abstract

All \(\mathrm {GL}(2, \mathbb {R})\) orbits in hyperelliptic components of strata of abelian differentials in genus greater than two are closed, dense, or contained in a locus of branched covers.

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Acknowledgements

The author thanks Alex Eskin and Alex Wright for useful conversations and encouragement. This material is based upon work supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE-1144082 and upon work supported by the National Science Foundation under Award No. 1803625. The author gratefully acknowledges their support.

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  1. Department of Mathematics, Yale University, P.O. Box 208283, New Haven, CT, 06520-8283, USA

    Paul Apisa

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Correspondence to Paul Apisa.

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Apisa, P. Rank One Orbit Closures in \(\varvec{\mathcal {H}}^{\varvec{\lowercase {hyp}}}(\varvec{\lowercase {g}}-1,\varvec{\lowercase {g}}-1)\). Geom. Funct. Anal. 29, 1617–1637 (2019). https://doi.org/10.1007/s00039-019-00513-4

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  • DOI: https://doi.org/10.1007/s00039-019-00513-4

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