English

Degenerations of twisted maps to algebraic stacks

Algebraic Geometry 2023-01-10 v2

Abstract

We give a definition of twisted map to a quotient stack with projective good moduli space, and we show that the resulting functor satisfies the existence part of the valuative criterion for properness.

Keywords

Cite

@article{arxiv.2210.03806,
  title  = {Degenerations of twisted maps to algebraic stacks},
  author = {Andrea Di Lorenzo and Giovanni Inchiostro},
  journal= {arXiv preprint arXiv:2210.03806},
  year   = {2023}
}

Comments

28 pages, comments very welcome! V2: corrected a mistake, added an additional assumption in the main theorem; we require the algebraic stack to be a quotient stack