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Pré-Publication, Document De Travail Année : 2023

Multi-centered dilatations and congruent isomorphisms

Arnaud Mayeux
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Résumé

We introduce a multi-centered formalism in the context of dilatations of schemes and algebraic spaces. In particular, this provides new results on the behavior of [MRR20] dilatations. Furthermore, we use our new formalism to deduce some refined congruent isomorphisms. Contents 1 Introduction 1 2 Dilatations of semirings 5 3 Multi-centered dilatations in the absolute setting 14 4 Iterated multi-centered dilatations 21 5 Multi-centered dilatations along multiples of a single divisor 24 6 Some flatness and smoothness results 26 7 Néron blowups 27 8 Congruent isomorphisms 29 References 30 Acknowledgement.
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Dates et versions

hal-04030139 , version 1 (15-03-2023)
hal-04030139 , version 2 (28-10-2023)

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  • HAL Id : hal-04030139 , version 1

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Arnaud Mayeux. Multi-centered dilatations and congruent isomorphisms. 2023. ⟨hal-04030139v1⟩
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