Line bundles on rigid spaces in the v-topology
B Heuer - Forum of Mathematics, Sigma, 2022 - cambridge.org
For a smooth rigid space X over a perfectoid field extension K of, we investigate how the v-
Picard group of the associated diamond differs from the analytic Picard group of X. To this …
Picard group of the associated diamond differs from the analytic Picard group of X. To this …
A geometric p-adic Simpson correspondence in rank one
B Heuer - Compositio Mathematica, 2024 - cambridge.org
For any smooth proper rigid space $ X $ over a complete algebraically closed extension $ K
$ of $\mathbb {Q} _p $ we give a geometrisation of the $ p $-adic Simpson correspondence …
$ of $\mathbb {Q} _p $ we give a geometrisation of the $ p $-adic Simpson correspondence …
Line bundles on perfectoid covers: case of good reduction
B Heuer - arXiv preprint arXiv:2105.05230, 2021 - arxiv.org
We study Picard groups in profinite perfectoid limits of rigid spaces in the case of good
reduction. Our main result is that for sufficiently large covers, these can be described in …
reduction. Our main result is that for sufficiently large covers, these can be described in …
The p-adic Corlette–Simpson correspondence for abeloids
B Heuer, L Mann, A Werner - Mathematische Annalen, 2023 - Springer
For an abeloid variety A over a complete algebraically closed field extension K of Q p, we
construct ap-adic Corlette–Simpson correspondence, namely an equivalence between finite …
construct ap-adic Corlette–Simpson correspondence, namely an equivalence between finite …
Crystalline cohomology of rigid analytic spaces
H Guo - arXiv preprint arXiv:2112.14304, 2021 - arxiv.org
arXiv:2112.14304v1 [math.AG] 28 Dec 2021 Page 1 arXiv:2112.14304v1 [math.AG] 28 Dec
2021 CRYSTALLINE COHOMOLOGY OF RIGID ANALYTIC SPACES Haoyang Guo Abstract …
2021 CRYSTALLINE COHOMOLOGY OF RIGID ANALYTIC SPACES Haoyang Guo Abstract …
p-ADIC GEOMETRY
P Scholze - Proceedings of the International Congress of …, 2018 - World Scientific
We discuss recent developments in p-adic geometry, ranging from foundational results such
as the degeneration of the Hodge-to-de Rham spectral sequence for “compact p-adic …
as the degeneration of the Hodge-to-de Rham spectral sequence for “compact p-adic …
On rigid varieties with projective reduction
S Li - arXiv preprint arXiv:1704.03109, 2017 - arxiv.org
In this paper, we study smooth proper rigid varieties which admit formal models whose
special fibers are projective. The main theorem asserts that the identity components of the …
special fibers are projective. The main theorem asserts that the identity components of the …
[PDF][PDF] Prismatic cohomology of rigid analytic spaces over de Rham period ring
H Guo - arXiv preprint arXiv:2112.14746, 2021 - arxiv.org
arXiv:2112.14746v1 [math.AG] 29 Dec 2021 Page 1 arXiv:2112.14746v1 [math.AG] 29 Dec
2021 PRISMATIC COHOMOLOGY OF RIGID ANALYTIC SPACES OVER DE RHAM …
2021 PRISMATIC COHOMOLOGY OF RIGID ANALYTIC SPACES OVER DE RHAM …
On the u∞-torsion submodule of prismatic cohomology
S Li, T Liu - Compositio Mathematica, 2023 - cambridge.org
We investigate the maximal finite length submodule of the Breuil–Kisin prismatic
cohomology of a smooth proper formal scheme over a-adic étale cohomology. As an …
cohomology of a smooth proper formal scheme over a-adic étale cohomology. As an …
Rigid-analytic varieties with projective reduction violating Hodge symmetry
A Petrov - Compositio Mathematica, 2021 - cambridge.org
Rigid-analytic varieties with projective reduction violating Hodge symmetry Page 1 Rigid-analytic
varieties with projective reduction violating Hodge symmetry Alexander Petrov Compositio …
varieties with projective reduction violating Hodge symmetry Alexander Petrov Compositio …