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From Singularities to Polyhedral Products

In: Handbook of Geometry and Topology of Singularities II

Author

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  • Santiago López de Medrano

    (Universidad Nacional Autónoma de México, Instituto de Matemáticas)

Abstract

The topology of intersections of concentric ellipsoids intersections of concentric ellipsoids in $$\mathbb {R}^n$$ R n have been studied for some time under the different names of links of pencils of quadrics, intersections of quadrics in $$\mathbb {R}^n$$ R n and real moment-angle manifoldsMoment-angle manifoldsreal. During this time, different authors were working independently and with different aims without knowing about the others’ work. When the relations were stablished, the interchange of ideas was useful and in some cases there were fruitful collaborations between members of different schools. We will tell this story, ending with some recent unpublished work on singular intersections that extends previous results.

Suggested Citation

  • Santiago López de Medrano, 2021. "From Singularities to Polyhedral Products," Springer Books, in: José Luis Cisneros-Molina & Dũng Tráng Lê & José Seade (ed.), Handbook of Geometry and Topology of Singularities II, chapter 0, pages 463-499, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-78024-1_9
    DOI: 10.1007/978-3-030-78024-1_9
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