Birational and non-archimedean geometries

Project Information

BirNonArchGeom

Grant agreement ID: 770922

DOI

10.3030/770922

Project closed

EC signature date 30 January 2018

Start date 1 May 2018

End date 30 April 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 365 600,00

EU contribution

€ 1 365 600,00

Coordinated by

THE HEBREW UNIVERSITY OF JERUSALEM
Israel

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 (12)

Reduction and lifting problem for differential forms on Berkovich curves

Author(s): Michael Temkin; Ilya Tyomkin
Published in: Advances in Mathematics, Issue 397, 2022, Page(s) 1-23, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108208

Height reduction for local uniformization of varieties and non-archimedean spaces

Author(s): Michael Temkin
Published in: Journal of Algebra, Issue 646, 2024, Page(s) 205-235, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2024.02.011

Models of Jacobians of curves

Author(s): David Holmes; Sam Molcho; Giulio Orecchia; Thibault Poiret
Published in: Journal für die reine und angewandte Mathematik, 2023 (801), 2023, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2023-0031

On the Severi problem in arbitrary characteristic

Author(s): Karl Christ, Xiang He, Ilya Tyomkin
Published in: Publications mathématiques de l'IHÉS, Issue 137, 2023, Page(s) 1–45, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-022-00137-9

Degenerations of Grassmannians via lattice configurations

Author(s): Xiang He; Naizhen Zhang
Published in: IMRN, Issue 2023, 2023, Page(s) 298–349, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab241

Degeneration of curves on some polarized toric surfaces

Author(s): Karl Christ; Xiang He; Ilya Tyomkin
Published in: Crelles Journal, Issue 787, 2022, Page(s) 197–240, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.48550/arxiv.2012.06766

Some Cases of the Zilber–Pink Conjecture for Curves in Ag

Author(s): Georgios Papas
Published in: IMRN, Issue 2024, 2024, Page(s) 4160–4206, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad201

Tropicalization of the universal Jacobian

Author(s): Melo, Margarida; Molcho, Samouil; Ulirsch, Martin; Viviani, Filippo
Published in: Épijournal de Géométrie Algébrique, Vol Volume 6 (2022), 2022, ISSN 2491-6765
Publisher: epi sciences overlay journals
DOI: 10.46298/epiga.2022.8352

Tame and strongly étale cohomology of curves

Author(s): Katharina Hübner
Published in: Israel Journal of Mathematics, Issue 253, 2023, Page(s) 1–42, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-022-2355-x

Non-archimedean pinchings

Author(s): Temkin, Michael
Published in: Mathematische Zeitschrift, Issue 301, 2022, Page(s) 2099–2109, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-022-02979-9

Logarithmically regular morphisms

Author(s): Sam Molcho, Michael Temkin
Published in: Mathematische Annalen, Issue 21.11.2020, 2020, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-02116-z

Functorial embedded resolution via weighted blowings up

Author(s): Dan Abramovich, Michael Temkin, Jarosław Włodarczyk
Published in: Algebra & Number Theory, Issue to appear, 2024, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers

Book chapters (1)

Relative and Logarithmic Resolution of Singularities

Author(s): Michael Temkin
Published in: Oberwolfach Seminars, New Techniques in Resolution of Singularities, 2023, Page(s) 139-218
Publisher: Springer International Publishing
DOI: 10.1007/978-3-031-32115-3_5

Other (13)

Principalization on logarithmically foliated orbifolds

Author(s): Dan Abramovich, André Belotto da Silva, Michael Temkin, Jarosław Włodarczyk
Published in: 2025
Publisher: Cornell University
DOI: 10.48550/arxiv.2503.00926

Functorial monomialization and uniqueness of centers for relative principalization

Author(s): Dan Abramovich, Michael Temkin, Jarosław Włodarczyk
Published in: 2025
Publisher: Cornell University
DOI: 10.48550/arxiv.2503.13345

Adic curves: stable reduction, skeletons and metric structure

Author(s): Katharina Hübner, Michael Temkin
Published in: 2024
Publisher: Cornell University
DOI: 10.48550/arxiv.2406.07414

Relative desingularization and principalization of ideals

Author(s): Abramovich, Dan; Temkin, Michael; Włodarczyk, Jarosław
Published in: 2020, Page(s) 1-90
Publisher: Cornell University
DOI: 10.48550/arxiv.2003.03659

Small extensions of analytic fields

Author(s): Michael Temkin
Published in: 2025
Publisher: Cornell University
DOI: 10.48550/arxiv.2503.17740

Effective Brauer-Siegel on some curves in $Y(1)^n$

Author(s): Papas, Georgios
Published in: 2023, Page(s) 1-29
Publisher: Cornell University
DOI: 10.48550/arxiv.2310.04943

Dream resolution and principalization I: enough derivations

Author(s): Michael Temkin
Published in: 2025
Publisher: Cornell University
DOI: 10.48550/arxiv.2503.18205

Semistable reduction over thick log points

Author(s): Motzkin, Alexander E.; Temkin, Michael
Published in: 2022, Page(s) 1-21
Publisher: Cornell University
DOI: 10.48550/arxiv.2204.09318

Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups

Author(s): Dan Abramovich, André belotto da Silva, Ming Hao Quek, Michael Temkin, Jarosław Włodarczyk
Published in: 2025
Publisher: Cornell University
DOI: 10.48550/arxiv.2503.13341

Some cases of the Zilber-Pink conjecture for curves in $\mathcal{A}_g$

Author(s): Papas, Georgios
Published in: 2022, Page(s) 1-44
Publisher: Cornell University
DOI: 10.48550/arxiv.2211.06763

Logarithmic differentials on discretely ringed adic spaces

Author(s): Hübner, Katharina
Published in: 2020, Page(s) 1-24
Publisher: Cornell University
DOI: 10.48550/arxiv.2009.14128

Log smoothness and polystability over valuation rings

Author(s): Adiprasito, Karim; Liu, Gaku; Pak, Igor; Temkin, Michael
Published in: 2018, Page(s) 1-40
Publisher: Cornell University
DOI: 10.48550/arxiv.1806.09168

Semistable reduction in characteristic 0

Author(s): Adiprasito, Karim; Liu, Gaku; Temkin, Michael
Published in: 2018, Page(s) 1-22
Publisher: Cornell University
DOI: 10.48550/arxiv.1810.03131

Monographic books (1)

New Techniques in Resolution of Singularities

Author(s): Dan Abramovich, Anne Frühbis-Krüger, Michael Temkin, Jarosław Włodarczyk
Published in: Oberwolfach Seminars, Issue 50, 2023, ISBN 978-3-031-32114-6
Publisher: Birkhäuser, Cham
DOI: 10.1007/978-3-031-32115-3_7