Add to ORKGThe purpose of this paper is to establish Hyodo--Kato theory with compact support for semistable schemes through rigid analytic methods. To this end we introduce several types of log rigid cohomology with compact support. moreover we show that additional structures on the (rigid) Hyodo--Kato cohomology and the Hyodo--Kato map introduced in our previous paper are compatible with Poincar\'{e} duality. Compared to the crystalline approach, the constructions are explicit yet versatile, and hence suitable for computations.Comment: 2nd version, 37 pages. We added a comparison result for compact support cohomology of smooth schemes in Definition 3.12--Proposition 3.14. We also added Remark 6.2. These changes do not affect the main line of the ...
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Ma...
In this paper, we establish a $p$-adic Simpson correspondence on the arena of Liu-Zhu for rigid anal...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, bas...
This is the author accepted manuscript. The final version is available from the Mathematisches Insti...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
In questa tesi andiamo a studiare alcune proprietà delle coomologie $p$-adiche. In primis, per un l...
This is the final version of the article. Available from the publisher via the URL in this recordThi...
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth ...
54 pages.International audienceLet $k$ be a perfect field of characteristic $p > 0$, $W_n = W_n(k)$....
In this article we prove a semistable version of the variational Tate conjecture for divisors in cry...
dissertationNizio l proved a p-adic comparison isomorphism of semistable schemes via K-theory. In th...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We introduce a logarithmic variant of the notion of $\delta$-rings, which we call $\delta_{\log}$-ri...
78 pages; final version, to appear in Compositio MathematicaInternational audienceFor a proper, smoo...
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Ma...
In this paper, we establish a $p$-adic Simpson correspondence on the arena of Liu-Zhu for rigid anal...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, bas...
This is the author accepted manuscript. The final version is available from the Mathematisches Insti...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
In questa tesi andiamo a studiare alcune proprietà delle coomologie $p$-adiche. In primis, per un l...
This is the final version of the article. Available from the publisher via the URL in this recordThi...
In this article we prove that the log Hodge de Rham spectral sequences of certain proper log smooth ...
54 pages.International audienceLet $k$ be a perfect field of characteristic $p > 0$, $W_n = W_n(k)$....
In this article we prove a semistable version of the variational Tate conjecture for divisors in cry...
dissertationNizio l proved a p-adic comparison isomorphism of semistable schemes via K-theory. In th...
AbstractIn [K. Kato, Toric singularities, Amer. J. Math. 116 (5) (1994) 1073–1099], Kato defined his...
We introduce a logarithmic variant of the notion of $\delta$-rings, which we call $\delta_{\log}$-ri...
78 pages; final version, to appear in Compositio MathematicaInternational audienceFor a proper, smoo...
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Ma...
In this paper, we establish a $p$-adic Simpson correspondence on the arena of Liu-Zhu for rigid anal...
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The...