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Birational geometry of Calabi-Yau pairs $(\mathbb{P}^3, D)$ of coregularity 2

Birational geometry of Calabi-Yau pairs $(\mathbb{P}^3, D)$ of coregularity 2

This paper aims to study the birational geometry of log Calabi-Yau pairs$(\mathbb{P}^3, D)$ of coregularity 2, where in this case $D$ is an irreducible normal quartic surface with canonical singularities. We completely classify which toric weighted blowups of a point will initiate a volume preserving Sarkisov link starting with this …