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Jet Schemes and Their Applications in Singularities, Toric Resolutions and Integer Partitions

Hussein Mourtada ()
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Hussein Mourtada: Université Paris Cité, Sorbonne Université, CNRS, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Chapter Chapter 4 in Handbook of Geometry and Topology of Singularities IV, 2023, pp 211-249 from Springer

Abstract: Abstract After a brief introduction to jet schemesJet schemes, this article surveys their applications in singularity theory (Nash problemNashproblem, motivic integrationMotivicintegration, birational geometry, jet components graphJet-components graph, equisingularityEquisingularity, local algebras of arc spacesLocal algebras of arc spaces), in the search for toric resolution of singularities (Teissier’s conjectureTeissier’s conjecture) and in the theory of integer partitionsInteger partitions.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31925-9_4

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DOI: 10.1007/978-3-031-31925-9_4

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