Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. Local-global principles for constant reductive groups over semi-global fields. (English) Zbl 1502.14059 Mich. Math. J. 72, 77-144 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 14G12 14D10 14G20 14F20 14L15 11G20 05C05 20G25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Mich. Math. J. 72, 77--144 (2022; Zbl 1502.14059) Full Text: DOI arXiv Link
Harbater, David; Hartmann, Julia; Krashen, Daniel Bounding cohomology classes over semiglobal fields. arXiv:2203.06770 Preprint, arXiv:2203.06770 [math.NT] (2022). MSC: 11E72 12G05 14H25 14G27 12E30 BibTeX Cite \textit{D. Harbater} et al., ``Bounding cohomology classes over semiglobal fields'', Preprint, arXiv:2203.06770 [math.NT] (2022) Full Text: arXiv OA License
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian Large fields in differential Galois theory. (English) Zbl 1481.12007 J. Inst. Math. Jussieu 20, No. 6, 1931-1946 (2021). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12E30 20G15 12F12 14H25 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., J. Inst. Math. Jussieu 20, No. 6, 1931--1946 (2021; Zbl 1481.12007) Full Text: DOI arXiv
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael Free differential Galois groups. (English) Zbl 1481.12008 Trans. Am. Math. Soc. 374, No. 6, 4293-4308 (2021). Reviewer: Andy R. Magid (Norman) MSC: 12H05 12F12 34M50 14L15 20G15 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., Trans. Am. Math. Soc. 374, No. 6, 4293--4308 (2021; Zbl 1481.12008) Full Text: DOI arXiv
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael The differential Galois group of the rational function field. (English) Zbl 1461.12003 Adv. Math. 381, Article ID 107605, 28 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 12H05 12F12 34M50 14L15 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., Adv. Math. 381, Article ID 107605, 28 p. (2021; Zbl 1461.12003) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally Local-global principles for tori over arithmetic curves. (English) Zbl 1468.11097 Algebr. Geom. 7, No. 5, 607-633 (2020). Reviewer: Ming Ng (Birmingham) MSC: 11E72 12G05 14G05 14H25 20G15 14G27 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Algebr. Geom. 7, No. 5, 607--633 (2020; Zbl 1468.11097) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. (English) Zbl 1440.14035 Trans. Am. Math. Soc. 372, No. 8, 5263-5286 (2019). Reviewer: Yongqi Liang (Hefei) MSC: 14C25 14G05 14H25 11E72 12G05 12F10 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., Trans. Am. Math. Soc. 372, No. 8, 5263--5286 (2019; Zbl 1440.14035) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally Local-global Galois theory of arithmetic function fields. (English) Zbl 1451.11126 Isr. J. Math. 232, No. 2, 849-882 (2019). MSC: 11R58 11R32 12F10 14H05 14H25 PDFBibTeX XMLCite \textit{D. Harbater} et al., Isr. J. Math. 232, No. 2, 849--882 (2019; Zbl 1451.11126) Full Text: DOI arXiv
Bell, Renee; Hartmann, Julia; Karemaker, Valentijn; Srinivasan, Padmavathi; Vogt, Isabel Thinking positive: arithmetic geometry in characteristic \(p\). (English) Zbl 1414.14001 Notices Am. Math. Soc. 66, No. 2, 239-241 (2019). MSC: 14-03 01A60 14G40 PDFBibTeX XMLCite \textit{R. Bell} et al., Notices Am. Math. Soc. 66, No. 2, 239--241 (2019; Zbl 1414.14001) Full Text: DOI
Harbater, David; Hartmann, Julia; Karemaker, Valentijn; Pop, Florian A comparison between obstructions to local-global principles over semiglobal fields. arXiv:1903.08007 Preprint, arXiv:1903.08007 [math.NT] (2019). MSC: 13F30 14G05 14H25 14G27 11E72 BibTeX Cite \textit{D. Harbater} et al., ``A comparison between obstructions to local-global principles over semiglobal fields'', Preprint, arXiv:1903.08007 [math.NT] (2019) Full Text: arXiv OA License
Bachmayr, Annette; Harbater, David; Hartmann, Julia Differential embedding problems over Laurent series fields. (English) Zbl 1431.12004 J. Algebra 513, 99-112 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 12F12 13F25 14H25 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., J. Algebra 513, 99--112 (2018; Zbl 1431.12004) Full Text: DOI arXiv
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Wibmer, Michael Differential embedding problems over complex function fields. (English) Zbl 1436.12006 Doc. Math. 23, 241-291 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 14H55 34M50 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., Doc. Math. 23, 241--291 (2018; Zbl 1436.12006) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel Local-global principles for torsors over arithmetic curves. (English) Zbl 1348.11036 Am. J. Math. 137, No. 6, 1559-1612 (2015). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 11E72 14H05 14G05 11E81 PDFBibTeX XMLCite \textit{D. Harbater} et al., Am. J. Math. 137, No. 6, 1559--1612 (2015; Zbl 1348.11036) Full Text: DOI arXiv Link
Harbater, David; Hartmann, Julia; Krashen, Daniel Refinements to patching and applications to field invariants. (English) Zbl 1386.14101 Int. Math. Res. Not. 2015, No. 20, 10399-10450 (2015). Reviewer: Detlev Hoffmann (Dortmund) MSC: 14H05 14F22 11E04 11E81 13F25 14H25 16K20 16K50 12J10 PDFBibTeX XMLCite \textit{D. Harbater} et al., Int. Math. Res. Not. 2015, No. 20, 10399--10450 (2015; Zbl 1386.14101) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel Local-global principles for Galois cohomology. (English) Zbl 1332.11046 Comment. Math. Helv. 89, No. 1, 215-253 (2014). Reviewer: Maneesh Thakur (New Delhi) MSC: 11E72 13F25 14H25 12G05 20G15 PDFBibTeX XMLCite \textit{D. Harbater} et al., Comment. Math. Helv. 89, No. 1, 215--253 (2014; Zbl 1332.11046) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel Weierstrass preparation and algebraic invariants. (English) Zbl 1300.13019 Math. Ann. 356, No. 4, 1405-1424 (2013). Reviewer: Igor Klep (Auckland) MSC: 13J10 14H25 16W60 11E04 32B05 PDFBibTeX XMLCite \textit{D. Harbater} et al., Math. Ann. 356, No. 4, 1405--1424 (2013; Zbl 1300.13019) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel Patching subfields of division algebras. (English) Zbl 1228.12004 Trans. Am. Math. Soc. 363, No. 6, 3335-3349 (2011). Reviewer: Ming-Chang Kang (Taipei) MSC: 12F12 16S35 12E30 16K50 16K20 14H25 PDFBibTeX XMLCite \textit{D. Harbater} et al., Trans. Am. Math. Soc. 363, No. 6, 3335--3349 (2011; Zbl 1228.12004) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia Patching over fields. (English) Zbl 1213.14052 Isr. J. Math. 176, 61-107 (2010). Reviewer: Arno Fehm (Konstanz) MSC: 14H05 12E30 12F10 12H05 PDFBibTeX XMLCite \textit{D. Harbater} and \textit{J. Hartmann}, Isr. J. Math. 176, 61--107 (2010; Zbl 1213.14052) Full Text: DOI arXiv
Hartmann, Julia; Shepler, Anne V. Reflection groups and differential forms. (English) Zbl 1151.58300 Math. Res. Lett. 14, No. 5-6, 955-971 (2007). MSC: 58A10 20F55 14L24 51F15 20C15 PDFBibTeX XMLCite \textit{J. Hartmann} and \textit{A. V. Shepler}, Math. Res. Lett. 14, No. 5--6, 955--971 (2007; Zbl 1151.58300) Full Text: DOI arXiv