In this paper, we develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs (X, D) (X,D). After establishing some general results for (X, D) (X,D) with mild singularities, we focus on the special case when X = P3 and D ⊂ P3 is a quartic surface. We investigate how the appearance of increasingly worse singularities in D enriches the birational geometry of the pair (P3, D), and leads to interesting subgroups of the Cremona group of P3.
Birational geometry of Calabi–Yau pairs and 3-dimensional Cremona transformations
Araujo, CarolinaPrimo
;Corti, Alessio;Massarenti, Alex
Ultimo
2026
Abstract
In this paper, we develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs (X, D) (X,D). After establishing some general results for (X, D) (X,D) with mild singularities, we focus on the special case when X = P3 and D ⊂ P3 is a quartic surface. We investigate how the appearance of increasingly worse singularities in D enriches the birational geometry of the pair (P3, D), and leads to interesting subgroups of the Cremona group of P3.File in questo prodotto:
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Birational_Geometry_of_CY_Pairs.pdf
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