Families of embeddings of the alternating group of rank 5 into the Cremona group

Krylov, Igor

doi:10.48550/arxiv.2005.07354

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“…We expect that a similar result holds also in the case when G = G 48,3 or G = G 96,72 . We plan to prove this in a sequel to this paper together with Igor Krylov by combining our technique with the methods developed in [47,17,37].…”

Section: In This Paper the Notationmentioning

confidence: 99%

Equivariant pliability of the projective space

Cheltsov¹,

Sarikyan²

2022

Preprint

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We classify finite subgroups G ⊂ PGL 4 (C) such that P 3 is not G-birational to conic bundles and del Pezzo fibrations, and explicitly describe all G-Mori fibre spaces that are G-birational to P 3 for these subgroups. Contents 1. Introduction 1 2. Irreducible monomial subgroups of degree four 5 3. Equivariant geometry of projective space: group of order 48 14 4. Equivariant geometry of projective space: group of order 192 34 5. Equivariant geometry of projective space: large groups 39 6. Rational Fano-Enriques threefold of degree 24 45 7. The proof of Main Theorem 52 References 65Throughout this paper, all varieties are assumed to be projective and defined over C.

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Section: In This Paper the Notationmentioning

confidence: 99%

Equivariant pliability of the projective space

Cheltsov¹,

Sarikyan²

2022

Preprint

View full text Add to dashboard Cite

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Section: Introductionmentioning

confidence: 99%

Equivariant pliability of the projective space

Cheltsov,

Sarikyan

2023

Sel. Math. New Ser.

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We classify finite subgroups $$G\subset {\textrm{PGL}}_4({\mathbb {C}})$$ G ⊂ PGL 4 ( C ) such that $${\mathbb {P}}^3$$ P 3 is not G-birational to conic bundles and del Pezzo fibrations, and explicitly describe all G-Mori fibre spaces that are G-birational to $${\mathbb {P}}^3$$ P 3 for these subgroups.

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Families of embeddings of the alternating group of rank 5 into the Cremona group

Cited by 2 publications

References 7 publications

Equivariant pliability of the projective space

Equivariant pliability of the projective space

Equivariant pliability of the projective space

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