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pro vyhledávání: '"Ayoub, Joseph"'
Autor:
Ayoub, Joseph
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G7, Pp 1087-1090 (2023)
We exhibit counterexamples to F. Morel’s conjecture on the $\mathbb{A}^1$-invariance of the sheaves of connected components of $\mathbb{A}^1$-local spaces.
Externí odkaz:
https://doaj.org/article/57c85577fb44454aa9d48ad4428f3444
Autor:
Ayoub, Joseph
In this paper we discuss a general notion of Weil cohomology theories, both in algebraic geometry and in rigid analytic geometry. We allow our Weil cohomology theories to have coefficients in arbitrary commutative ring spectra. Using the theory of mo
Externí odkaz:
http://arxiv.org/abs/2312.11906
Autor:
Ayoub, Joseph
Publikováno v:
In Indagationes Mathematicae September 2024
Publikováno v:
Forum of Mathematics, Sigma, 10, E61 (2022)
We offer a systematic study of rigid analytic motives over general rigid analytic spaces, and we develop their six-functor formalism. A key ingredient is an extended proper base change theorem that we are able to justify by reducing to the case of al
Externí odkaz:
http://arxiv.org/abs/2010.15004
Autor:
Thankam, Finosh G, Ayoub, Joseph G, Ahmed, Mohamed M Radwan, Siddique, Aleem, Sanchez, Thomas C, Peralta, Rafael A, Pennington, Thomas J, Agrawal, Devendra K
Publikováno v:
In Translational Research March 2021 229:38-52
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety
Autor:
Ayoub, Joseph, Zucker, Steven
Publikováno v:
Invent. Math. 188 (2012), 277-427
We introduce the notion of Artin motives and cohomological motives over a scheme X. Given a cohomological motive M over X, we construct its punctual weight zero part $\omega^0_X(M)$ as the universal Artin motive mapping to M. We use this to define a
Externí odkaz:
http://arxiv.org/abs/1002.2771
Autor:
Ayoub, Joseph
Publikováno v:
In Journal of Pure and Applied Algebra July 2017 221(7):1507-1559
Akademický článek
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Autor:
Ayyub, Omar B., Behrens, Adam M., Heligman, Brian T., Natoli, Mary E., Ayoub, Joseph J., Cunningham, Gary, Summar, Marshall, Kofinas, Peter
Publikováno v:
In Molecular Genetics and Metabolism June-July 2015 115(2-3):95-100
Autor:
Ayoub, Joseph
Publikováno v:
Annals of Mathematics, 2015 May 01. 181(3), 905-992.
Externí odkaz:
http://www.jstor.org/stable/24523352