Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of G/P

Autor: N.I. Shepherd-Barron

Publikováno v: Shepherd-Barron, N I 2021, ' Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of G/P ', Michigan Mathematical Journal, vol. 70, no. 3, pp. 587-613 . https://doi.org/10.1307/mmj/1593741747

We unify results of Artin, Brieskorn, Slodowy and others by showing that, in all characteristics, the Artin component of the deformation space of a rational surface singularity has a ramified cover where simultaneous resolution exists and the Galois

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https://kclpure.kcl.ac.uk/ws/files/124307807/Weyl_group_cover_SHEPHERD_BARRON_Accepted_8_Nov_19_GREEN_AAM.pdf

Abelian varieties isogenous to a power of an elliptic curve

Autor: Bjorn Poonen, Eric M. Rains, Allan Keeton, N.I. Shepherd-Barron, Bruce W. Jordan, John Tate

Publikováno v: arXiv
Jordan, B W, Keeton, A G, Poonen, B, Rains, E M, Shepherd-Barron, N & Tate, J T 2018, ' Abelian varieties isogenous to a power of an elliptic curve ', COMPOSITIO MATHEMATICA, vol. 154, no. 5, pp. 934-959 . https://doi.org/10.1112/S0010437X17007990

Let $E$ be an elliptic curve over a field $k$. Let $R:= \text{End}\, E$. There is a functor $\mathscr{H}\!\!\mathit{om}_R(-,E)$ from the category of finitely presented torsion-free left $R$-modules to the category of abelian varieties isogenous to a

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Del Pezzo surfaces as Springer fibres for exceptional groups

Autor: I. Grojnowski, N.I. Shepherd-Barron

Publikováno v: King's College London
Grojnowski, I & Shepherd-Barron, N 2021, ' Del Pezzo surfaces as Springer fibres for exceptional groups ', PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol. 122, no. 1, pp. 1-41 . https://doi.org/10.1112/plms.12290
Grojnowski, I & Shepherd-Barron, N I 2019 ' Del Pezzo surfaces as Springer fibres for exceptional groups ' . < https://arxiv.org/abs/1507.01872 >

We show that simultaneous log resolutions of simply elliptic singularities can be constructed inside suitable stacks of principal bundles over elliptic curves. In particular, we give a direct geometrical construction of del Pezzo surfaces from the co

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https://kclpure.kcl.ac.uk/portal/en/publications/del-pezzo-surfaces-as-springer-fibres-for-exceptional-groups(36b8a652-ca41-4180-aa3a-1cb31cecd7f0).html