Generalized toric varieties, LVMB manifolds and Lie groupoids

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 est...

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Bibliographic Details
Published in:European journal of mathematics 2024-12, Vol.10 (4), Article 54
Main Authors: Costa, Matheus Silva, Grama, Lino, Katzarkov, Ludmil
Format: Article
Language:English
Subjects:
Algebraic Geometry
Mathematics
Mathematics and Statistics
Research Article
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Summary: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.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-024-00769-7