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arXiv · 1809.08512

Rational points on certain homogeneous varieties

Pengyu Yang
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Abstract

Let $L$ be a simply-connected simple connected algebraic group over a number field $F$, and $H$ be a semisimple absolutely maximal connected $F$-subgroup of $L$. Under a cohomological condition, we prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of $\Delta(H)\backslash L^n$ with respect to a balanced line bundle, where $\Delta(H)$ is the image of $H$ diagonally embedded in $L^n$.

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Pengyu Yang. 2018-09-23. Rational points on certain homogeneous varieties. https://arxiv.org/abs/1809.08512

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