Heisenberg vertex algebras and abelian varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917375841927168 |
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| author | Tarasca, Nicola |
| author_facet | Tarasca, Nicola |
| contents | Here we construct spaces of coinvariants for Heisenberg vertex algebras on abelian varieties and show that these globalize to twisted $\mathscr{D}$-modules on the moduli space of abelian varieties. Remarkably, we recover the standard construction of these sheaves over the Torelli locus. As an example, in the case of commutative Heisenberg vertex algebras we show that the realization of coinvariants on curves as polynomial functions on one-forms extends to arbitrary abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00103 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heisenberg vertex algebras and abelian varieties Tarasca, Nicola Algebraic Geometry Quantum Algebra 14K10, 17B65, 17B66, 17B69, 14F06 (primary), 14K25, 14L15 (secondary) Here we construct spaces of coinvariants for Heisenberg vertex algebras on abelian varieties and show that these globalize to twisted $\mathscr{D}$-modules on the moduli space of abelian varieties. Remarkably, we recover the standard construction of these sheaves over the Torelli locus. As an example, in the case of commutative Heisenberg vertex algebras we show that the realization of coinvariants on curves as polynomial functions on one-forms extends to arbitrary abelian varieties. |
| title | Heisenberg vertex algebras and abelian varieties |
| topic | Algebraic Geometry Quantum Algebra 14K10, 17B65, 17B66, 17B69, 14F06 (primary), 14K25, 14L15 (secondary) |
| url | https://arxiv.org/abs/2604.00103 |