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Toroidal embedding

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In algebraic geometry, a toroidal embedding is a normal variety that is locally of a toric variety (torus embedding). The notion was introduced by Mumford to prove the existence of semistable reduction.

Tits' buildings

References

  • Kempf, G.; Knudsen, Finn Faye; Mumford, David; Saint-Donat, B. (1973), Toroidal embeddings. I, Lecture Notes in Mathematics, vol. 339, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0070318, MR 0335518