Homotopy Theory of Algebraic Varieties and Wild Ramification

Project Information

KAPIBARA

Grant agreement ID: 802787

DOI

10.3030/802787

EC signature date 16 August 2018

Start date 1 June 2019

End date 31 May 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 007 500,00

EU contribution

€ 1 007 500,00

Coordinated by

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Poland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (30)

Beauville-Laszlo gluing of algebraic spaces

Author(s): Piotr Achinger, Alex Youcis
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x
DOI: 10.48550/arxiv.2410.20500

Variants of the de Jong fundamental group

Author(s): Piotr Achinger, Marcin Lara, Alex Youcis
Published in: American Journal of Mathematics (accepted for publication), 2025, ISSN 0000-0000
Publisher: x

The Morel-Voevodsky Construction over Algebraic Stacks

Author(s): Neeraj Deshmukh, Felix Sefzig
Published in: arXiv preprint, submitted for publication, 2025, ISSN 0000-0000
Publisher: x

Rigid analytic reconstruction of Hyodo-Kato theory

Author(s): Veronika Ertl, Kazuki Yamada
Published in: arXiv preprint, revised, submitted for publication, 2025, ISSN 0000-0000
Publisher: x

Betti realization of varieties defined by formal Laurent series

Author(s): Achinger, Piotr; Talpo, Mattia
Published in: Geometry and Topology, Issue 25 (2021), 2021, Page(s) 1919–1978, ISSN 1364-0380
Publisher: MSP
DOI: 10.2140/gt.2021.25.1919

A Motivic Riemann-Roch Theorem for Deligne-Mumford Stacks

Author(s): Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

A1-connected stacky curves and the Brauer group of moduli of elliptic curves

Author(s): Neeraj Deshmukh, Suraj Yadav
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

Geometric arcs and fundamental groups of rigid spaces

Author(s): Piotr Achinger; Marcin Lara; Alex Youcis
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, ISSN 1435-5345
Publisher: De Gruyter
DOI: 10.1515/crelle-2023-0013

Integral p-adic cohomology theories for open and singular varieties

Author(s): Veronika Ertl, Atsushi Shiho, Johannes Sprang
Published in: arXiv preprint, revised in 2023 and 2025, submitted for publication, 2025, ISSN 0000-0000
Publisher: x

Compactifications of rigid analytic spaces through formal models

Author(s): Kobak, Mateusz
Published in: arxiv preprint, submitted for publication, Issue 4, 2023, ISSN 0000-0000
Publisher: x
DOI: 10.48550/arxiv.2306.09141

A theorem on meromorphic descent and the specialization of the pro-étale fundamental group

Author(s): Marcin Lara, Jiu-Kang Yu, Lei Zhang
Published in: arXiv preprint, submitted for publication, 2021, ISSN 0000-0000
Publisher: x

Modules of minimal dimension over completed Weyl algebras

Author(s): Feliks Rączka
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

On the Motivic Homotopy Type of Algebraic Stacks

Author(s): Neeraj Deshmukh, with appendix joint with Jack Hall
Published in: arXiv preprint, submitted for publication, 2023, ISSN 0000-0000
Publisher: x

Berthelot's conjecture via homotopy theory

Author(s): Veronika Ertl, Alberto Vezzani
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

Poincaré duality for rigid analytic Hyodo-Kato theory

Author(s): Veronika Ertl, Kazuki Yamada
Published in: arXiv preprint, revised in 2023 and 2024, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

On the <i>v</i>-Picard Group of Stein Spaces

Author(s): Veronika Ertl, Sally Gilles, Wiesława Nizioł
Published in: International Mathematics Research Notices, Issue 2024, 2024, Page(s) 13352-13379, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnae185

Homotopy Exact Sequence for the Pro-\'Etale Fundamental Group II

Author(s): Lara, Marcin
Published in: International Mathematics Research Notices, Issue online first, 2021, Page(s) n/a, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab101

Compactly supported p-adic pro-étale cohomology of analytic varieties

Author(s): Piotr Achinger, Sally Gilles, Wiesława Nizioł
Published in: arXiv preprint, submitted for publication, 2025, ISSN 0000-0000
Publisher: x

Topological rigidity of maps in positive characteristic and anabelian geometry

Author(s): Piotr Achinger, Jakob Stix
Published in: Proceedings of the American Mathematical Society, Issue 152, 2024, Page(s) 4171-4186, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16858

Frobenius pushforwards of vector bundles on projective spaces

Author(s): Feliks Rączka
Published in: manuscripta mathematica, Issue 176, 2025, ISSN 0025-2611
Publisher: Springer Verlag
DOI: 10.1007/s00229-024-01605-8

Hodge symmetry for rigid varieties via log hard Lefschetz

Author(s): Achinger, Piotr
Published in: Mathematical Research Letters, 2023, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2023.v30.n1.a1

Fundamental exact sequence for the pro-étalefundamental group

Author(s): Marcin Lara
Published in: Algebra &amp; Number Theory, Issue 18, 2024, Page(s) 631-683, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2024.18.631

Regular logarithmic connections

Author(s): Piotr Achinger
Published in: Mathematische Annalen, Issue 391, 2025, Page(s) 5293-5339, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-024-03047-9

Continuity of differential operators for nonarchimedean Banach algebras

Author(s): Feliks Rączka
Published in: arXiv preprint, submitted for publication, 2025, ISSN 0000-0000
Publisher: x

Holonomic D-modules on rigid analytic varieties

Author(s): Feliks Rączka
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

Logarithmic geometry beyond fs

Author(s): Piotr Achinger, Katharina Hübner, Marcin Lara, Jakob Stix
Published in: arXiv preprint, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

An approach to the characterization of the local Langlands correspondence

Author(s): Alexander Bertoloni Meli; Alex Youcis
Published in: Representation Theory, Issue 7, 2023, ISSN 0000-0000
Publisher: American Mathematical Society
DOI: 10.1090/ert/643

Comparison of different Tate conjectures

Author(s): Veronika Ertl, Timo Keller, Yanshuai Qin
Published in: arXiv preprint, revised in 2024, submitted for publication, 2024, ISSN 0000-0000
Publisher: x

On p-torsions of geometric Brauer groups

Author(s): Zhenghui Li, Yanshuai Qin, Veronika Ertl
Published in: arXiv preprint (ZL and YQ are authors, VE supplied the appendix) submitted for publication, 2024, ISSN 0000-0000
Publisher: x

Specialization for the pro-etale fundamental group

Author(s): Piotr Achinger, Marcin Lara, Alex Youcis
Published in: Compositio Mathematica, 2022, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x2200759x