Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations
File(s)
Accepted version
Author(s)
Corti, Alessio
Massarenti, Alex
Araujo, Carolina
Type
Journal Article
Abstract
In this paper we develop a framework that allows one to describe the birational geometry of Calabi–Yau pairs (X, D). After establishing some general results for Calabi–Yau
pairs (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 lead to interesting subgroups of the
Cremona group of P3.
pairs (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 lead to interesting subgroups of the
Cremona group of P3.
Date Issued
2026-03-01
Date Acceptance
2025-11-26
Citation
Journal für die Reine und Angewandte Mathematik, 2026, 2026 (832)
ISSN
0075-4102
Publisher
De Gruyter
Journal / Book Title
Journal für die Reine und Angewandte Mathematik
Volume
2026
Issue
832
Copyright Statement
© De Gruyter 2026. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2026-01-22