A Quadratically Enriched Correspondence Theorem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913312804962304 |
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| author | Puentes, Andrés Jaramillo Pauli, Sabrina |
| author_facet | Puentes, Andrés Jaramillo Pauli, Sabrina |
| contents | We quadratically enrich Mikhalkin's correspondence theorem. That is, we prove a correspondence between algebraic curves on a toric surface counted with Levine's quadratic enrichment of the Welschinger sign, and tropical curves counted with a quadratic enrichment of Mikhalkin's multiplicity for tropical curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11706 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Quadratically Enriched Correspondence Theorem Puentes, Andrés Jaramillo Pauli, Sabrina Algebraic Geometry Algebraic Topology 14N10, 14N35 (Primary) 14T25, 14G27 (Secondary) We quadratically enrich Mikhalkin's correspondence theorem. That is, we prove a correspondence between algebraic curves on a toric surface counted with Levine's quadratic enrichment of the Welschinger sign, and tropical curves counted with a quadratic enrichment of Mikhalkin's multiplicity for tropical curves. |
| title | A Quadratically Enriched Correspondence Theorem |
| topic | Algebraic Geometry Algebraic Topology 14N10, 14N35 (Primary) 14T25, 14G27 (Secondary) |
| url | https://arxiv.org/abs/2309.11706 |