English

Formal and rigid geometry: an intuitive introduction, and some applications

Algebraic Geometry 2009-03-25 v3

Abstract

We give an informal introduction to formal and rigid geometry over complete discrete valuation rings, and we discuss some applications in algebraic and arithmetic geometry and singularity theory, with special emphasis on recent applications to the Milnor fibration and the motivic zeta function by J. Sebag and the author.

Keywords

Cite

@article{arxiv.math/0701532,
  title  = {Formal and rigid geometry: an intuitive introduction, and some applications},
  author = {Johannes Nicaise},
  journal= {arXiv preprint arXiv:math/0701532},
  year   = {2009}
}

Comments

Minor errors corrected. For the final version, please consult the published article

R2 v1 2026-07-22T17:49:35.138Z