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Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
Online Contents | 2018|Abstract Using perfectoid algebras we introduce a mixed characteristic analog of the multiplier ideal, respectively test ideal, from ... -
Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
Springer Verlag | 2018|Abstract Using perfectoid algebras we introduce a mixed characteristic analog of the ... -
Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
Free accessArXiv | 2017|Using perfectoid algebras, we introduce a mixed characteristic analog of the multiplier ideal, respectively test ideal, from characteristic ... -
Singularities in mixed characteristic via perfectoid big Cohen–Macaulay algebras
Duke University Press | 2021|functorial, integral perfectoid big Cohen–Macaulay (BCM) algebras to study singularities of local rings in mixed ...Keywords: perfectoid -
Formalising perfectoid spaces
Free accessArXiv | 2019|Perfectoid spaces are sophisticated objects in arithmetic geometry introduced by Peter Scholze in 2012. We formalised enough definitions ... -
Perfectoid Spaces
Online Contents | 2012|Abstract We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings’ almost purity ... -
Perfectoid Spaces
Online Contents | 2012|Abstract We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings’ almost purity ... -
Perfectoid Spaces
Springer Verlag | 2012|Abstract We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework ... -
Le lemme d’Abhyankar perfectoide
Online Contents | 2017|Résumé Nous étendons le théorème de presque-pureté de Faltings-Scholze-Kedlaya-Liu sur les extensions étales finies d’algèbres perfectoïdes ... -
Le lemme d’Abhyankar perfectoide
Online Contents | 2017|Résumé Nous étendons le théorème de presque-pureté de Faltings-Scholze-Kedlaya-Liu sur les extensions étales finies d’algèbres perfectoïdes ... -
Le lemme d’Abhyankar perfectoide
Springer Verlag | 2017|version perfectoïde du lemme d’Abhyankar du théorème de presque-pureté, par un passage à la limite mettant en jeu des versions perfectoïdes du ... -
Integral perfectoid big Cohen–Macaulay algebras via André’s theorem
Online Contents | 2018|perfectoid big Cohen–Macaulay algebra. The proof of this result is based on the construction of almost Cohen–Macaulay algebras in mixed ... -
Integral perfectoid big Cohen–Macaulay algebras via André’s theorem
Springer Verlag | 2018|mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra. The proof of this result is based on the construction of almost ... -
Affinoids in the Lubin–Tate perfectoid space and special cases of the local Langlands correspondence
Springer Verlag | 2020|Lubin–Tate perfectoid space and their formal models such that the cohomology of the reduction of each formal model realizes the local Langlands ... -
Descent for solid quasi-coherent sheaves on perfectoid spaces
Free accessArXiv | 2024|We prove $v$-descent for solid quasi-coherent sheaves on perfectoid spaces as a key technical input for the development of a $6$-functor ... -
Perfectoid Shimura varieties and the Calegari–Emerton conjectures
Wiley | 2023|induction, we prove a new perfectoidness result for towers of minimally compactified Shimura varieties, generalizing previous work of Scholze. ... -
Real Topological Hochschild Homology of Perfectoid Rings
Free accessArXiv | 2023|We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute THR of perfectoid rings. This will be useful for ... -
Tilting and untilting for ideals in perfectoid rings
Free accessArXiv | 2023|For an (integral) perfectoid ring $R$ of characteristic $0$ with tilt $R^{\flat}$, we introduce and study a tilting map $(-)^{\flat}$ from ... -
Perfectoid rings as Thom spectra
Springer Verlag | 2023|theorem, realizing perfect rings k as Thom spectra, and we provide a further generalization by realizing perfectoid rings ...Keywords: Perfectoid rings -
A calculation of the perfectoidization of semiperfectoid rings
Free accessArXiv | 2023|We show that perfectoidization can be (almost) calculated by using $p$-root closure in certain cases, including the semiperfectoid case. To ...