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P-Resolutions of Cyclic Quotients from the Toric Viewpoint

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Singularities

Part of the book series: Progress in Mathematics ((PM,volume 162))

Abstract

(1.1) The break through in deformation theory of (two-dimensional) quotient singularities Y was Kollár/Shepherd-Barron’s discovery of the one-to-one correspondence between so-called P-resolutions, on the one hand, and components of the versai base space, on the other (cf. [KS], Theorem (3.9)). It generalizes the fact that all deformations admitting a simultaneous (RDP-) resolution form one single component, the Artin component.

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References

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Altmann, K. (1998). P-Resolutions of Cyclic Quotients from the Toric Viewpoint. In: Arnold, V.I., Greuel, GM., Steenbrink, J.H.M. (eds) Singularities. Progress in Mathematics, vol 162. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8770-0_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8770-0_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9767-9

  • Online ISBN: 978-3-0348-8770-0

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