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Two-dimensional Virasoro algebras

代数几何 2026-05-12 v1 数学物理 math.MP 表示论

摘要

We classify central extensions of the dg Lie algebra of derived global sections of the tangent sheaf on the punctured, formal 2-disk. We then prove a local and universal form of the Grothendieck--Rieman--Roch theorem for families of two-dimensional complex varieties.

关键词

引用

@article{arxiv.2605.10549,
  title  = {Two-dimensional Virasoro algebras},
  author = {Zhengping Gui and Brian R. Williams},
  journal= {arXiv preprint arXiv:2605.10549},
  year   = {2026}
}

备注

32 pages, 3 figures. Comments are very welcome!