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Variations on an example of Hirzebruch

By Matthew Stover

Appears in collection : Topology of complex algebraic varieties / Topologie des variétés algébriques complexes

In ’84, Hirzebruch constructed a very explicit noncompact ball quotient manifold in the process of constructing smooth projective surfaces with Chern slope arbitrarily close to 3. I will discuss how this and some closely related ball quotients are useful in answering a variety of other questions. Some of this is joint with Luca Di Cerbo.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18990203
  • Cite this video Stover, Matthew (01/06/2016). Variations on an example of Hirzebruch. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18990203
  • URL https://dx.doi.org/10.24350/CIRM.V.18990203

Bibliography

  • Di Cerbo, Luca F., & Stover, Matthew (2015). Multiple realizations of varieties as ball quotient compactifications. <arXiv:1503.06712> - http://arxiv.org/abs/1503.06712
  • Di Cerbo, Luca F., & Stover, Matthew (2015). Classification and arithmeticity of toroidal compactifications with $3\bar{c}_2=\bar{c}^2_1=3$ - http://arxiv.org/abs/1505.01414

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