English

Mnev-Sturmfels universality for schemes

Algebraic Geometry 2012-08-17 v2

Abstract

We prove a scheme-theoretic version of Mnev-Sturmfels Universality, suitable to be used in the proof of Murphy's Law in Algebraic Geometry. Somewhat more precisely, we show that any singularity type of finite type over Z appears on some incidence scheme of points and lines, subject to some particular further constraints.

Keywords

Cite

@article{arxiv.1202.3934,
  title  = {Mnev-Sturmfels universality for schemes},
  author = {Seok Hyeong Lee and Ravi Vakil},
  journal= {arXiv preprint arXiv:1202.3934},
  year   = {2012}
}

Comments

14 pages, 5 figures; revised thanks to suggestions of referees and other readers

R2 v1 2026-06-21T20:21:10.116Z