# Elliptic singularity

> Mediated Wiki article. Canonical URL: https://mediated.wiki/source/Elliptic_singularity
> Markdown URL: https://mediated.wiki/source/Elliptic_singularity.md
> Source: https://en.wikipedia.org/wiki/Elliptic_singularity
> Source revision: 1255289655
> License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/)

{{Short description|Type of surface singularity used in algebraic geometry}}
{{one source |date=May 2024}}
In [algebraic geometry](/source/algebraic_geometry), an '''elliptic singularity''' of a surface, introduced by Philip Wagreich in 1970, is a surface singularity such that the [arithmetic genus](/source/arithmetic_genus) of its [local ring](/source/local_ring) is&nbsp;1.<ref>{{Citation |last=Wagreich |first=Philip |title=Elliptic singularities of surfaces |date=April 1970 |work=American Journal of Mathematics |volume=92 |issue=2 |pages=419-454 |publisher=The Johns Hopkins University Press |doi=10.2307/2373333 |issn=0002-9327 |jstor=2373333 |mr=0291170}}</ref>

==See also==
*[Rational singularity](/source/Rational_singularity)

==References==
Category:Algebraic surfaces
Category:Singularity theory
{{References list}}

{{geometry-stub}}

---
Adapted from the Wikipedia article [Elliptic singularity](https://en.wikipedia.org/wiki/Elliptic_singularity) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Elliptic_singularity?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.