Minimal model program for algebraically integrable adjoint foliated structures
Algebraic Geometry
2024-08-27 v1 Dynamical Systems
Abstract
For -factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we deduce the existence of the minimal model program for such structures. We also prove the base-point-freeness theorem for such structures of general type and establish an adjunction formula and the existence of -factorial quasi-dlt modifications for algebraically integrable adjoint foliated structures.
Keywords
Cite
@article{arxiv.2408.14258,
title = {Minimal model program for algebraically integrable adjoint foliated structures},
author = {Paolo Cascini and Jingjun Han and Jihao Liu and Fanjun Meng and Calum Spicer and Roberto Svaldi and Lingyao Xie},
journal= {arXiv preprint arXiv:2408.14258},
year = {2024}
}
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50 pages