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arXiv · 1510.07434

Polarized 3-folds in a codimension 10 weighted homogeneous $F_4$ variety

Muhammad Imran Qureshi
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Abstract

We give the construction of a codimension 10 weighted homogeneous variety $wΣF_4(μ,u)$ corresponding to the exceptional Lie group $F_4$ by explicit computation of its graded ring structure. We give a formula for the Hilbert series of the generic weighted $wΣF_4(μ,u)$ in terms of representation theoretic data of $F_4$. We also construct some families of polarized 3-folds in codimension 10 whose general member is the weighted complete intersection of some $wΣF_4(μ,u)$.

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Muhammad Imran Qureshi. 2017-05-14. Polarized 3-folds in a codimension 10 weighted homogeneous $F_4$ variety. https://arxiv.org/abs/1510.07434

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