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Pré-Publication, Document De Travail Année : 2020

COX RINGS OF ALMOST HOMOGENEOUS SL2-THREEFOLDS

Antoine Vezier
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Résumé

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 /µn-embeddings.
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Dates et versions

hal-02942253 , version 1 (17-09-2020)
hal-02942253 , version 2 (25-10-2020)

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Antoine Vezier. COX RINGS OF ALMOST HOMOGENEOUS SL2-THREEFOLDS. 2020. ⟨hal-02942253v2⟩

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