From Singularities to Polyhedral Products

Santiago López de Medrano ()
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Santiago López de Medrano: Universidad Nacional Autónoma de México, Instituto de Matemáticas

Chapter Chapter 9 in Handbook of Geometry and Topology of Singularities II, 2021, pp 463-499 from Springer

Abstract: 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 We will tell this story, ending with some recent unpublished work on singular intersections that extends previous results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-78024-1_9

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DOI: 10.1007/978-3-030-78024-1_9

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