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pro vyhledávání: '"Esnault H"'
Autor:
Esnault, H��l��ne, Kerz, Moritz
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex variety are Zariski dense in their moduli. v2: we waited for feedback and added a consequence of Alexandr Petrov's theorem. 3: we tightened the last s
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https://explore.openaire.eu/search/publication?articleId=doi_________::d573ab32105642b584c7056611262964
Autor:
Esnault, H., Lahaye, C., Girard, L., Desoutter, M.-A., Couvelard, A., Alexandra, J.-F., Faucher, N., Raynaud-Simon, A., Lilamand, M., Sanchez, M.
Publikováno v:
In La revue de médecine interne January 2020 41(1):62-64
Autor:
Esnault, H��l��ne, Srinivas, Vasudevan
We prove that $\bar {\mathbb Q}_\ell$-local systems of bounded rank and ramification on a smooth variety $X$ defined over an algebraically closed field $k$ of characteristic $p\neq \ell$ are tamified outside of codimension $2$ by a finite separable c
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Akademický článek
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Autor:
Esnault, H��l��ne, Kerz, Moritz
We show that in positive characteristic special loci of deformation spaces of rank one $\ell$-adic local systems are quasilinear. From this we deduce the Hard Lefschetz theorem for rank one $\ell$-adic local systems and a generic vanishing theorem. L
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https://explore.openaire.eu/search/publication?articleId=doi_________::118184a6fc52215938c92598cbc8e443
Autor:
Esnault, H��l��ne
It is a short report for the ICCM2019 Proceedings on recent results obtained with Michael Groechenig and Moritz Kerz concerning special subloci of the Betti moduli space of irreducible complex local systems on complex varieties.
8 pages
8 pages
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https://explore.openaire.eu/search/publication?articleId=doi_________::2e02a4101b88fbd442726d62d6de7ff9
Autor:
Esnault, H��l��ne, Kerz, Moritz
We show that closed subsets of the character variety of a complex variety with negatively weighted homology, which are $p$-adically integral and Galois invariant, are motivic. Final version: Cambridge Journal of Mathematics
latex 20 pages
latex 20 pages
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https://explore.openaire.eu/search/publication?articleId=doi_________::7ef344bdda134595c76aff4882e14342
Autor:
Esnault, H��l��ne
We give a proof without use of perfectoid geometry of Scholzes' vanishing theorem of ��tale cohomology with $\mathbb{F}_p$-coefficients beyond the dimension of projective varieties in a specific pro $p$-tower in characteristic not equal to $p$. F
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Autor:
Esnault, H��l��ne, Sabbah, Claude
We construct a logarithmic model of connections on smooth quasi-projective $n$-dimensional geometrically irreducible varieties defined over an algebraically closed field of characteristic $0$. It consists of a good compactification of the variety tog
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https://explore.openaire.eu/search/publication?articleId=doi_________::20d8dacb4b6421c670dbbb8933b3d712
Autor:
Esnault, H��l��ne, Groechenig, Michael
We prove that the monodromy of an irreducible cohomologically complex rigid local system with finite determinant and quasi-unipotent local monodromies at infinity on a smooth quasiprojective complex variety $X$ is integral. This answers positively a
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