Thom polynomials for singularities of maps
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912886197059584 |
|---|---|
| author | Ohmoto, Toru |
| author_facet | Ohmoto, Toru |
| contents | This is a gentle introduction to a general theory of universal polynomials associated to classification of map-germs, called Thom polynomials. The theory was originated by René Thom in the 1950s and has since been evolved in various aspects by many authors. In a nutshell, this is about intersection theory on certain moduli spaces, say `classifying spaces of mono/multi-singularities of maps', which provides consistent and deep insights into both classical and modern enumerative geometry with many potential applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16727 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thom polynomials for singularities of maps Ohmoto, Toru Algebraic Geometry This is a gentle introduction to a general theory of universal polynomials associated to classification of map-germs, called Thom polynomials. The theory was originated by René Thom in the 1950s and has since been evolved in various aspects by many authors. In a nutshell, this is about intersection theory on certain moduli spaces, say `classifying spaces of mono/multi-singularities of maps', which provides consistent and deep insights into both classical and modern enumerative geometry with many potential applications. |
| title | Thom polynomials for singularities of maps |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.16727 |