@article{RSMUP_2015__134__47_0, author = {Ohkawa, Sachio}, title = {On logarithmic nonabelian {Hodge} theory of higher level in characteristic $p$}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {47--92}, publisher = {Seminario Matematico of the University of Padua}, volume = {134}, year = {2015}, mrnumber = {3428415}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2015__134__47_0/} }
TY - JOUR AU - Ohkawa, Sachio TI - On logarithmic nonabelian Hodge theory of higher level in characteristic $p$ JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2015 SP - 47 EP - 92 VL - 134 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2015__134__47_0/ LA - en ID - RSMUP_2015__134__47_0 ER -
%0 Journal Article %A Ohkawa, Sachio %T On logarithmic nonabelian Hodge theory of higher level in characteristic $p$ %J Rendiconti del Seminario Matematico della Università di Padova %D 2015 %P 47-92 %V 134 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2015__134__47_0/ %G en %F RSMUP_2015__134__47_0
Ohkawa, Sachio. On logarithmic nonabelian Hodge theory of higher level in characteristic $p$. Rendiconti del Seminario Matematico della Università di Padova, Volume 134 (2015), pp. 47-92. http://archive.numdam.org/item/RSMUP_2015__134__47_0/
[1] Berthelot letter to Illusie, (1990).
,[2] -modules arithmétiques I. Opérateurs différentiels de niveau fini. Ann. Sci. École Norm. Sup. (4), 29(2) (1996), 185–272. | Numdam | MR | Zbl
,[3] -module arithmétiques II. Descente par Frobenius, Mém. Soc. Math. France 81 (2000). | Numdam | Zbl
,[4] A Simpson correspondance in positive characteristic, Publ. Res. Inst. Math. Sci. 46 (2010), 1–35. | MR | Zbl
, and ,[5] Logarithmic structures of Fontaine-Illusie, in Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), 191–224, Johns Hopkins Univ. Press, Baltimore, MD (1989). | MR | Zbl
,[6] Transversal crystals of finite level. Ann. Inst. Fourier (Grenoble), 47(1) (1997), 69–100. | Numdam | MR | Zbl
and ,[7] Indexed algebras associated to a log structure and a theorem of p-descent on log schemes, Manuscripta Mathematica 101 (2000), 271–299. | MR | Zbl
,[8] On the finitude of logarithmic crystalline cohomology of higher level, master thesis (2009).
,[9] Généralisation de la théorie arithmétique des D-modules la géométrie logarithmique, Ph.D. thesis, L’université de Rennes I (2002); see http://tel.archives-ouvertes.fr/docs/00/04/52/24/PDF/tel-00002545.pdf.
,[10] Nonabelian Hodge theory in characteristic . Publ. Math. Inst. Hautes Études Sci., 106 (2007), 1–138. | MR | Zbl
and ,[11] Logarithmic nonabelian Hodge theory in characteristic , arXiv:0802.1977. | MR
,[12] Higgs bundles and local systems. Publ. Math. Inst. Hautes Études Sci., 75 (1992), 5–95. | Numdam | MR | Zbl
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