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arXiv · 2009.08676

Cox rings of almost homogeneous SL2-threefolds

Antoine Vezier
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Abstract

We study Cox rings of normal threefolds on which SL2 acts with a dense orbit. Exploiting the method of U-invariants, we obtain combinatorial criteria for the total coordinate space and the base variety to have log terminal singularities. Then, we investigate the iteration of Cox rings and obtain a bound on its length. Finally, we develop a general approach to the description of the Cox ring by generators and relations which is effective for normal SL2 /$\mu$n-embeddings.

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Antoine Vezier. 2020-09-18. Cox rings of almost homogeneous SL2-threefolds. https://arxiv.org/abs/2009.08676

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