INVARIANT HILBERT SCHEME RESOLUTION OF POPOV’S SL(2)-VARIETIES

Ayako Kubota

doi:10.1007/s00031-020-09592-2

INVARIANT HILBERT SCHEME RESOLUTION OF POPOV’S SL(2)-VARIETIES

Ayako Kubota^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We show that every 3-dimensional affine normal quasihomogeneous SL(2)-variety has an equivariant resolution of singularities given by an invariant Hilbert scheme and we present an explicit description of the invariant Hilbert scheme.

Original language	English
Pages (from-to)	1365-1415
Number of pages	51
Journal	Transformation Groups
Volume	26
Issue number	4
DOIs	https://doi.org/10.1007/s00031-020-09592-2
Publication status	Published - 2021 Dec

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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title = "INVARIANT HILBERT SCHEME RESOLUTION OF POPOV{\textquoteright}S SL(2)-VARIETIES",

abstract = "We show that every 3-dimensional affine normal quasihomogeneous SL(2)-variety has an equivariant resolution of singularities given by an invariant Hilbert scheme and we present an explicit description of the invariant Hilbert scheme.",

author = "Ayako Kubota",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

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doi = "10.1007/s00031-020-09592-2",

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INVARIANT HILBERT SCHEME RESOLUTION OF POPOV’S SL(2)-VARIETIES

Abstract

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