# Luigi Cremona

> Italian mathematician (1830-1903)

**Wikidata**: [Q548266](https://www.wikidata.org/wiki/Q548266)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Luigi_Cremona)  
**Source**: https://4ort.xyz/entity/luigi-cremona

## Summary
Luigi Cremona was an Italian mathematician who lived from 1830 to 1903. He is best known for his foundational work in algebraic geometry and mechanics, which led to the naming of the Cremona group and the Cremona diagram in his honor. His legacy extends to astronomy, with a lunar impact crater named "Cremona."

## Biography
* Born: 1830
* Died: 1903
* Nationality: Italian
* Known for: Contributions to birational automorphisms and graphical statics
* Field(s): Mathematics

## Contributions
Luigi Cremona's most recognized mathematical contribution is the Cremona group, which is defined as the group of birational automorphisms of the n-dimensional projective space over a field k. In the realm of mechanics, he contributed to the Cremona diagram, a graphical method used to analyze forces. Beyond his direct academic work, his impact is commemorated by a lunar impact crater officially named Cremona. 

## FAQs
**Who was Luigi Cremona?**
Luigi Cremona, whose full name was Antonio Luigi Gaudenzio Giuseppe Cremona, was an prominent Italian mathematician who lived from 1830 until 1903.

**What is the Cremona group in mathematics?**
The Cremona group refers to the group of birational automorphisms of the n-dimensional projective space over a field k.

**What is a Cremona diagram?**
A Cremona diagram is a specific graphical representation utilized within the field of mechanics.

**Are there any astronomical features named after Luigi Cremona?**
Yes, a lunar impact crater is named "Cremona" in recognition of his contributions to science.

## Why They Matter
Luigi Cremona's work established core concepts that remain embedded in modern mathematics and mechanics. By defining the parameters of the Cremona group (the group of birational automorphisms of the n-dimensional projective space over a field k), he provided a structural framework that advanced the study of algebraic geometry. Furthermore, the application of the Cremona diagram in mechanics gave engineers and physicists a reliable visual tool for force analysis. The decision to name a lunar impact crater after him underscores the enduring weight of his scientific legacy. Today, his historical footprint is evidenced by a robust digital presence, with his primary Wikipedia entry alone tied to 31 sitelinks.

## Notable For
* Being an influential Italian mathematician born in 1830 and passing in 1903.
* Holding the full birth name Antonio Luigi Gaudenzio Giuseppe Cremona.
* Serving as the namesake for the Cremona group (the group of birational automorphisms of the n-dimensional projective space over a field k).
* The creation and application of the Cremona diagram in mechanics.
* Having a lunar impact crater named in his honor.

## Body

### Identity and Academic Profile
Antonio Luigi Gaudenzio Giuseppe Cremona, widely known as Luigi Cremona, was an Italian mathematician whose life spanned from 1830 to 1903. While specific details regarding his formal education and employers are not documented in the provided records, his professional identity is firmly established within the field of mathematics. His prominence is reflected in his digital footprint, which includes a Wikipedia title under his name and 31 sitelinks connecting his biographical data across various global databases.

### Mathematical Concepts and Terms
Cremona's name is permanently attached to several advanced mathematical and mechanical constructs. In algebraic geometry, he is the namesake of the Cremona group. This is defined as the group of birational automorphisms of the n-dimensional projective space over a field k. This mathematical concept currently has 5 sitelinks connecting it across different knowledge bases. 

In the field of mechanics, Cremona's name is utilized for the Cremona diagram. This tool serves as a structural diagram for analyzing mechanical forces, and it possesses a larger footprint of 11 sitelinks. 

### Extraterrestrial Honors
Beyond theoretical mathematics, Cremona's legacy reaches into astronomy. A lunar impact crater has been officially designated as "Cremona." This entity is a prominent fixture in astronomical records, being documented with 16 sitelinks across various global repositories.

## References

1. Great Soviet Encyclopedia (1969–1978)
2. www.accademiadellescienze.it
3. MacTutor History of Mathematics archive
4. BnF authorities
5. Integrated Authority File
6. [Source](https://www.senato.it/web/senregno.nsf/d7aba38662bfb3b8c125785e003c4334/bffbee41c2c1c3014125646f005a894b?OpenDocument)
7. [Source](https://www.movio.beniculturali.it/uniroma1/livesandlibraries/it/163/indice-per-tipi-di-letture-generi-materiali/show/2/93)
8. Mathematics Genealogy Project
9. dati.camera.it
10. Complete List of Royal Society Fellows 1660-2007
11. International Standard Name Identifier
12. Virtual International Authority File
13. CiNii Research
14. [Source](https://lingualibre.org/wiki//Q446606)
15. SNAC
16. Structurae
17. KNAW Past Members
18. Freebase Data Dumps. 2013
19. [Source](http://digitale.beic.it/primo_library/libweb/action/search.do?fn=search&vid=BEIC&vl%283134987UI0%29=creator&vl%28freeText0%29=Cremona%20Luigi)
20. CONOR.SI
21. Dizionario Biografico degli Italiani
22. La France savante
23. Treccani's Enciclopedia on line
24. [Source](https://www.mi.sanu.ac.rs/novi_sajt/publications/veroneze/31%20Commemorazione%20del%20Socio%20Luigi%20Cremona_Rendiconti%20d.%20R.A.d.L.%201903.pdf)
25. Enciclopedia Treccani
26. Catalogo of the National Library of India