English

The compactified jacobian can be nonreduced

Algebraic Geometry 2015-07-31 v1

Abstract

We prove by explicit example that the compactified jacobian can be nonreduced. The example is a rational space curve of arithmetic genus 4. This answers a question posed by Cyril D'Souza in 1979.

Cite

@article{arxiv.1507.08558,
  title  = {The compactified jacobian can be nonreduced},
  author = {Jesse Leo Kass},
  journal= {arXiv preprint arXiv:1507.08558},
  year   = {2015}
}

Comments

Final version

R2 v1 2026-06-22T10:22:32.685Z