Algebraic $2-$valued group structures on $\mathbb P^1$, Kontsevich-type polynomials, and multiplication formulas, I
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915057041932288 |
|---|---|
| author | Buchstaber, Victor Gaiur, Ilia Rubtsov, Vladimir |
| author_facet | Buchstaber, Victor Gaiur, Ilia Rubtsov, Vladimir |
| contents | The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, the local multiplication law is given by the Buchstaber polynomial or the generalized Kontsevich polynomial. One of the most exciting results of our studies is a simple construction of a two-valued algebraic group on $\mathbb C$ different from known coset-construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07330 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic $2-$valued group structures on $\mathbb P^1$, Kontsevich-type polynomials, and multiplication formulas, I Buchstaber, Victor Gaiur, Ilia Rubtsov, Vladimir Algebraic Geometry Group Theory The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, the local multiplication law is given by the Buchstaber polynomial or the generalized Kontsevich polynomial. One of the most exciting results of our studies is a simple construction of a two-valued algebraic group on $\mathbb C$ different from known coset-construction. |
| title | Algebraic $2-$valued group structures on $\mathbb P^1$, Kontsevich-type polynomials, and multiplication formulas, I |
| topic | Algebraic Geometry Group Theory |
| url | https://arxiv.org/abs/2412.07330 |