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.

中文翻译：

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$$ \ varvec {\ mathcal {H}} ^ {\ varvec {\ lowercase {hyp}}}}（\ varvec {\ lowercase {g}}-1，\ varvec {\ lowercase {g}} -1）$$ Hhyp（g-1，g-1）

属大于2的阿贝尔微分层的超椭圆形分量的所有\（\ mathrm {GL}（2，\ mathbb {R}）\）轨道都是封闭的，密集的或包含在分支覆盖的位置中。