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Chris Daw's user avatar
Chris Daw's user avatar
Chris Daw
  • Member for 8 years, 9 months
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Siegel domains and the Baily-Borel compactification of $\mathcal{A}_2$
I believe that the above calculations are correct. However, as pointed out to me by Martin Orr, if one intersects $\mathfrak{S}$ with the Levi subgroup isomorphic to $SL_2\times\mathbb{G}_m$ and then takes the image of this set in $L$ under the natural projection, then this is indeed a Siegel domain in $L$. This is essentially the last statement of the penultimate paragraph of section 4.4. Subsequently, one can choose the element $a$ from section 4.5 to be an element of the aforementioned intersection.
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Siegel domains and the Baily-Borel compactification of $\mathcal{A}_2$
My apologies Peter; I intended to refer to section 4.4. I have edited the post accordingly.
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