Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations

Autor:	Araujo, Carolina, Corti, Alessio, Massarenti, Alex
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry 14E30 (Primary) 14E05 14E07 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 $X=\mathbb{P}^3$ and $D\subset \mathbb{P}^3$ is a quartic surface. We investigate how the appearance of increasingly worse singularities on $D$ enriches the birational geometry of the pair $(\mathbb{P}^3, D)$. Comment: This is a major revision containing a revised Section 4.2, adding detail to several proofs, and correcting several mistakes and many typos. We thank a careful anonymous referee for making many suggestions for improvement, on which this revision is based
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.00207 Zobrazit plný text záznamu View this record from Arxiv