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Generalized toric varieties, LVMB manifolds and Lie groupoids

  • Matheus Silva Costa,
  • Lino Grama,
  • Ludmil Katzarkov

摘要

We explore the relationship between generalized toric varieties (quasifolds) and Lie groupoids. The mathematical framework that enables us to establish a simultaneous relationship between toric varieties, orbifolds, and quasifolds, with Lie groupoids, is known as LVMB manifolds. Additionally, we establish a link between generalized log transformations and the generation of categorical phantoms.