English

Non-extendable MMPs

Algebraic Geometry 2025-07-01 v1

Abstract

We construct examples of families of pairs over a DVR of positive characteristic, with very mild singularities, such that the MMP on the closed fiber does not extend to a relative MMP.

Cite

@article{arxiv.2506.23883,
  title  = {Non-extendable MMPs},
  author = {Iacopo Brivio},
  journal= {arXiv preprint arXiv:2506.23883},
  year   = {2025}
}

Comments

14 pages, comments welcome

R2 v1 2026-07-01T03:39:35.059Z