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pro vyhledávání: '"mixed Hodge modules"'
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Publikováno v:
Advances in Mathematics. 352:372-405
We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these systems underly mixed Hodge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f03977a40cde3bedee521737318a6d4
https://doi.org/10.1016/j.aim.2019.06.007
https://doi.org/10.1016/j.aim.2019.06.007
Autor:
Lefèvre, Louis-Clément
V2, various improvements, changed title.31 pages, comments are welcome!; We describe locally the representation varieties of fundamental groups for smooth complex varieties at representations coming from the monodromy of a variation of mixed Hodge st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______212::248b469282f4cbaa4e5b645a0220d552
https://hal.archives-ouvertes.fr/hal-02399676v2/file/Article.pdf
https://hal.archives-ouvertes.fr/hal-02399676v2/file/Article.pdf
Autor:
Lefèvre, Louis-Clément
31 pages, comments are welcome!; We describe locally the representation varieties of fundamental groups for smooth complex manifolds admitting a compactification into a Kähler manifold, at representations coming from the monodromy of a variation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9c566a7c784fb6659c2af69f94f8a6a5
https://hal.archives-ouvertes.fr/hal-02399676/document
https://hal.archives-ouvertes.fr/hal-02399676/document
Autor:
Lefèvre, Louis-Clément
We describe locally the representation varieties of fundamental groups for smooth complex varieties at representations coming from the monodromy of a variation of mixed Hodge structure. Given such a manifold $X$ and such a linear representation $\rho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57aaf6b32b84bed3d2091b35855265d7
Autor:
Kochersperger, Matthieu
Dans cette thèse nous nous intéressons aux singularités d'espaces analytiques complexes définis comme le lieu des zéros d'un morphisme sans pente. Nous étudions dans un premier temps les cycles proches et les cycles évanescents associés à un
Externí odkaz:
http://www.theses.fr/2018SACLX041/document
Autor:
Florian Ivorra
Publikováno v:
Rendiconti del Seminario Matematico della Università di Padova
Rendiconti del Seminario Matematico della Università di Padova, University of Padua / European Mathematical Society, 2015, 133, pp.11-77. ⟨10.4171/RSMUP/133-2⟩
Rendiconti del Seminario Matematico della Università di Padova, 2015, 133, pp.11-77. ⟨10.4171/RSMUP/133-2⟩
Rendiconti del Seminario Matematico della Università di Padova, 2015, 133, pp.11-77. 〈10.4171/RSMUP/133-2〉
Rendiconti del Seminario Matematico della Università di Padova, University of Padua / European Mathematical Society, 2015, 133, pp.11-77. ⟨10.4171/RSMUP/133-2⟩
Rendiconti del Seminario Matematico della Università di Padova, 2015, 133, pp.11-77. ⟨10.4171/RSMUP/133-2⟩
Rendiconti del Seminario Matematico della Università di Padova, 2015, 133, pp.11-77. 〈10.4171/RSMUP/133-2〉
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8f7943df41f53e87b398a06fde02f87
https://doi.org/10.4171/rsmup/133-2
https://doi.org/10.4171/rsmup/133-2
Autor:
Gregory Pearlstein, Patrick Brosnan
Publikováno v:
Duke Mathematical Journal
Duke Math. J. 168, no. 10 (2019), 1737-1842
Duke Math. J. 168, no. 10 (2019), 1737-1842
We introduce a pairing on local intersection cohomology groups of variations of pure Hodge structure, which we call the asymptotic height pairing. Our original application of this pairing was to answer a question on the Ceresa cycle posed by R. Hain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3d7bea21c1a53b69124df6bbf63086e
http://arxiv.org/abs/1701.05527
http://arxiv.org/abs/1701.05527
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 50:85-112
We show that the dualizing sheaves of reduced simple normal crossings pairs have a canonical weight ltration in a compatible way with the one on the corresponding mixed Hodge modules by calculating the extension classes between the dualizing sheaves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cef60f3186ba08b7974718c798ed3d7f
https://doi.org/10.4171/prims/125
https://doi.org/10.4171/prims/125
Autor:
ZHAO, YAN
Publikováno v:
None
In this thesis, we studied the Hodge theory and deformation theory of nodal surfaces. We showed that nodal surfaces in the projective 3-space satisfy the infinitesimal Torelli property. We considered families of examples of even nodal surfaces, that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c47dc90a7f8598979696e6f0274e63a4