Lai, King Fai; Tan, Ki-Seng A generalized Iwasawa’s theorem and its application. (English) Zbl 07332639 Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021). MSC: 11R29 11R23 12G05 11R65 PDF BibTeX XML Cite \textit{K. F. Lai} and \textit{K.-S. Tan}, Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021; Zbl 07332639) Full Text: DOI
Ahmed, Suman; Lim, Meng Fai On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 07324322 Acta Arith. 197, No. 4, 353-377 (2021). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Acta Arith. 197, No. 4, 353--377 (2021; Zbl 07324322) Full Text: DOI
Pal, Aprameyo; Zábrádi, Gergely Cohomology and overconvergence for representations of powers of Galois groups. (English) Zbl 07321572 J. Inst. Math. Jussieu 20, No. 2, 361-421 (2021). MSC: 11S25 11S20 11S37 11F80 12G05 PDF BibTeX XML Cite \textit{A. Pal} and \textit{G. Zábrádi}, J. Inst. Math. Jussieu 20, No. 2, 361--421 (2021; Zbl 07321572) Full Text: DOI
Wang, Shan Wen Le système d’Euler de Kato en famillie (II). (English) Zbl 07314983 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 PDF BibTeX XML Cite \textit{S. W. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 1, 173--204 (2021; Zbl 07314983) Full Text: DOI
Xie, Bing Yong Derivatives of Frobenius and derivatives of Hodge-Tate weights. (English) Zbl 07314975 Acta Math. Sin., Engl. Ser. 37, No. 1, 1-34 (2021). MSC: 11S25 PDF BibTeX XML Cite \textit{B. Y. Xie}, Acta Math. Sin., Engl. Ser. 37, No. 1, 1--34 (2021; Zbl 07314975) Full Text: DOI
Mináč, Jan; Pasini, Federico William; Quadrelli, Claudio; Tân, Nguyễn Duy Koszul algebras and quadratic duals in Galois cohomology. (English) Zbl 07309935 Adv. Math. 380, Article ID 107569, 50 p. (2021). MSC: 12G05 17A45 20F40 20F14 PDF BibTeX XML Cite \textit{J. Mináč} et al., Adv. Math. 380, Article ID 107569, 50 p. (2021; Zbl 07309935) Full Text: DOI
Maarefparvar, Abbas Pre-Pólya group in even dihedral extensions of \(\mathbb{Q}\). (English) Zbl 07308676 Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021). MSC: 11R16 11R21 11R34 11R37 PDF BibTeX XML Cite \textit{A. Maarefparvar}, Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021; Zbl 07308676) Full Text: DOI
Dokuchaev, M.; Paques, A.; Pinedo, H.; Rocha, I. Partial generalized crossed products and a seven-term exact sequence. (English) Zbl 07305012 J. Algebra 572, 195-230 (2021). MSC: 13B05 13A50 16H05 16K50 16S35 16W22 20M18 PDF BibTeX XML Cite \textit{M. Dokuchaev} et al., J. Algebra 572, 195--230 (2021; Zbl 07305012) Full Text: DOI
Cerchia, Michael; Rouse, Jeremy Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves. (English) Zbl 07299102 Proc. Am. Math. Soc. 149, No. 2, 583-589 (2021). MSC: 11F80 11G05 12G05 PDF BibTeX XML Cite \textit{M. Cerchia} and \textit{J. Rouse}, Proc. Am. Math. Soc. 149, No. 2, 583--589 (2021; Zbl 07299102) Full Text: DOI
Asensouyis, Hassan; Assim, Jilali; Mazigh, Youness A genus formula for the positive étale wild kernel. (English) Zbl 1453.11147 J. Number Theory 218, 161-179 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R34 11R70 PDF BibTeX XML Cite \textit{H. Asensouyis} et al., J. Number Theory 218, 161--179 (2021; Zbl 1453.11147) Full Text: DOI
Benois, Denis \(p\)-adic heights and \(p\)-adic Hodge theory. (English. French summary) Zbl 07333374 Mém. Soc. Math. Fr., Nouv. Sér. 167, 1-135 (2020). MSC: 11R23 11F80 11S25 11G40 PDF BibTeX XML Cite \textit{D. Benois}, Mém. Soc. Math. Fr., Nouv. Sér. 167, 1--135 (2020; Zbl 07333374) Full Text: DOI
Snegirov, Stephan Spherical varieties over large fields. (English) Zbl 07332263 J. Lie Theory 30, No. 3, 653-672 (2020). MSC: 20G15 12G05 14M17 14G27 14M27 PDF BibTeX XML Cite \textit{S. Snegirov}, J. Lie Theory 30, No. 3, 653--672 (2020; Zbl 07332263) Full Text: Link
Iyengar, Ashwin Deformation theory of the trivial mod \(p\) Galois representation for \(\mathrm{GL}_n\). (English) Zbl 07323406 Int. Math. Res. Not. 2020, No. 22, 8896-8935 (2020). MSC: 11F80 11S37 14F30 PDF BibTeX XML Cite \textit{A. Iyengar}, Int. Math. Res. Not. 2020, No. 22, 8896--8935 (2020; Zbl 07323406) Full Text: DOI
Lê, Hông Vân; Vanžura, Jiří Classification of \(k\)-forms on \(\mathbb{R}^n\) and the existence of associated geometry on manifolds. (English) Zbl 07319015 Chebyshevskiĭ Sb. 21, No. 2(74), 362-382 (2020). MSC: 17B 15A 20G PDF BibTeX XML Cite \textit{H. V. Lê} and \textit{J. Vanžura}, Chebyshevskiĭ Sb. 21, No. 2(74), 362--382 (2020; Zbl 07319015) Full Text: DOI MNR
Reichstein, Zinovy; Shukla, Abhishek Kumar Essential dimension of double covers of symmetric and alternating groups. (English) Zbl 07316795 J. Ramanujan Math. Soc. 35, No. 4, 357-372 (2020). MSC: 20C25 20B30 20G10 11E72 PDF BibTeX XML Cite \textit{Z. Reichstein} and \textit{A. K. Shukla}, J. Ramanujan Math. Soc. 35, No. 4, 357--372 (2020; Zbl 07316795) Full Text: Link
Hu, Yong; Wu, Zhengyao On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3. (English) Zbl 07314404 Ann. \(K\)-Theory 5, No. 4, 677-707 (2020). MSC: 11S25 16K50 17A35 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{Z. Wu}, Ann. \(K\)-Theory 5, No. 4, 677--707 (2020; Zbl 07314404) Full Text: DOI
Sakamoto, Ryotaro On the theory of higher rank Euler, Kolyvagin and Stark systems: a research announcement. (English) Zbl 07311546 RIMS Kôkyûroku Bessatsu B83, 141-159 (2020). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{R. Sakamoto}, RIMS Kôkyûroku Bessatsu B83, 141--159 (2020; Zbl 07311546) Full Text: Link
Hirsch, Christian On the decomposability of mod 2 cohomological invariants of Weyl groups. (English) Zbl 07310901 Comment. Math. Helv. 95, No. 4, 765-809 (2020). MSC: 20G10 12G05 PDF BibTeX XML Cite \textit{C. Hirsch}, Comment. Math. Helv. 95, No. 4, 765--809 (2020; Zbl 07310901) Full Text: DOI
Iwanari, Isamu Motivic rational homotopy type. (English) Zbl 07308121 High. Struct. 4, No. 2, 57-133 (2020). MSC: 14F35 55P62 19E15 PDF BibTeX XML Cite \textit{I. Iwanari}, High. Struct. 4, No. 2, 57--133 (2020; Zbl 07308121) Full Text: Link
Lim, Meng Fai On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions. (English) Zbl 07304472 Doc. Math. 25, 2445-2471 (2020). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Doc. Math. 25, 2445--2471 (2020; Zbl 07304472) Full Text: DOI
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Linear algebraic groups with good reduction. (English) Zbl 07304317 Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020). MSC: 14L15 11E72 14G05 20G05 PDF BibTeX XML Cite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020; Zbl 07304317) Full Text: DOI
Yukie, Akihiko Rational orbits of prehomogeneous vector spaces. (English) Zbl 1453.11160 RIMS Kôkyûroku Bessatsu B77, 179-182 (2020). MSC: 11S90 11R34 PDF BibTeX XML Cite \textit{A. Yukie}, RIMS Kôkyûroku Bessatsu B77, 179--182 (2020; Zbl 1453.11160) Full Text: Link
Hoshi, Akinari Noether’s problem and rationality problem for multiplicative invariant fields: a survey. (English) Zbl 1455.12004 RIMS Kôkyûroku Bessatsu B77, 29-53 (2020). MSC: 12F12 13A50 14E08 14F22 11E72 14M20 20J06 12-02 PDF BibTeX XML Cite \textit{A. Hoshi}, RIMS Kôkyûroku Bessatsu B77, 29--53 (2020; Zbl 1455.12004) Full Text: Link
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3-rank of ambiguous class groups of cubic Kummer extensions. (English) Zbl 07301188 Period. Math. Hung. 81, No. 2, 250-274 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Period. Math. Hung. 81, No. 2, 250--274 (2020; Zbl 07301188) Full Text: DOI
Nizioł, Wiesława On uniqueness of \(p\)-adic period morphisms. II. (English) Zbl 07283073 Compos. Math. 156, No. 9, 1915-1964 (2020). MSC: 14F30 11F80 14F40 14F42 PDF BibTeX XML Cite \textit{W. Nizioł}, Compos. Math. 156, No. 9, 1915--1964 (2020; Zbl 07283073) Full Text: DOI
Liu, Yifeng; Tian, Yichao Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups. (English) Zbl 07275222 Algebra Number Theory 14, No. 8, 2059-2119 (2020). MSC: 14G35 11G05 11R34 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y. Tian}, Algebra Number Theory 14, No. 8, 2059--2119 (2020; Zbl 07275222) Full Text: DOI
Hu, Yong Reduced norms of division algebras over complete discrete valuation fields of local-global type. (English) Zbl 07272762 J. Algebra Appl. 19, No. 11, Article ID 2050217, 16 p. (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E72 17A35 11R52 16K50 PDF BibTeX XML Cite \textit{Y. Hu}, J. Algebra Appl. 19, No. 11, Article ID 2050217, 16 p. (2020; Zbl 07272762) Full Text: DOI
Li, Jianing; Yu, Chia-Fu The Chevalley-Gras formula over global fields. (English. French summary) Zbl 07272151 J. Théor. Nombres Bordx. 32, No. 2, 525-543 (2020). MSC: 11R29 11R37 11R34 PDF BibTeX XML Cite \textit{J. Li} and \textit{C.-F. Yu}, J. Théor. Nombres Bordx. 32, No. 2, 525--543 (2020; Zbl 07272151) Full Text: DOI
Quadrelli, Claudio; Weigel, Thomas S. Profinite groups with a cyclotomic \(p\)-orientation. (English) Zbl 07270335 Doc. Math. 25, 1881-1916 (2020). MSC: 12G05 20E18 12F10 PDF BibTeX XML Cite \textit{C. Quadrelli} and \textit{T. S. Weigel}, Doc. Math. 25, 1881--1916 (2020; Zbl 07270335) Full Text: DOI
Demarche, Cyril; Harari, David Duality for complexes of tori over a global field of positive characteristic. (Dualité pour les complexes de tores sur un corps global de caractéristique strictement positive.) (English. French summary) Zbl 07269404 J. Éc. Polytech., Math. 7, 831-870 (2020). MSC: 11E72 11G20 14F20 14H25 PDF BibTeX XML Cite \textit{C. Demarche} and \textit{D. Harari}, J. Éc. Polytech., Math. 7, 831--870 (2020; Zbl 07269404) Full Text: DOI
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally Local-global principles for tori over arithmetic curves. (English) Zbl 07262980 Algebr. Geom. 7, No. 5, 607-633 (2020). MSC: 11E72 12G05 14G05 14H25 20G15 14G27 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} et al., Algebr. Geom. 7, No. 5, 607--633 (2020; Zbl 07262980) Full Text: DOI
Srinivasan, Srimathy A finiteness theorem for special unitary groups of quaternionic skew-Hermitian forms with good reduction. (English) Zbl 07262582 Doc. Math. 25, 1171-1194 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 14L35 11E72 11R34 PDF BibTeX XML Cite \textit{S. Srinivasan}, Doc. Math. 25, 1171--1194 (2020; Zbl 07262582) Full Text: DOI
Bayer-Fluckiger, Eva; Parimala, Raman On unramified Brauer groups of torsors over tori. (English) Zbl 07261430 Doc. Math. 25, 1263-1284 (2020). MSC: 11G35 12G05 14G05 14G25 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} and \textit{R. Parimala}, Doc. Math. 25, 1263--1284 (2020; Zbl 07261430) Full Text: DOI
Matar, Ahmed On the \(\Lambda \)-cotorsion subgroup of the Selmer group. (English) Zbl 1444.11120 Asian J. Math. 24, No. 3, 437-456 (2020). MSC: 11G05 11R23 12G05 PDF BibTeX XML Cite \textit{A. Matar}, Asian J. Math. 24, No. 3, 437--456 (2020; Zbl 1444.11120) Full Text: DOI
Ayoub, Joseph New Weil cohomologies in positive characteristic. (Nouvelles cohomologies de Weil en caractéristique positive.) (French. English summary) Zbl 07248671 Algebra Number Theory 14, No. 7, 1747-1790 (2020). MSC: 14F42 PDF BibTeX XML Cite \textit{J. Ayoub}, Algebra Number Theory 14, No. 7, 1747--1790 (2020; Zbl 07248671) Full Text: DOI
Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Park, Jeehoon; Yoo, Hwajong Arithmetic Chern-Simons theory. II. (English) Zbl 1440.11207 Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7–13, 2017. Cham: Springer. Simons Symp., 81-128 (2020). MSC: 11R23 11G05 12F10 11R34 11R37 14F20 PDF BibTeX XML Cite \textit{H.-J. Chung} et al., in: \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7--13, 2017. Cham: Springer. 81--128 (2020; Zbl 1440.11207) Full Text: DOI
Burns, David On the Galois structure of arithmetic cohomology. I: Compactly supported \(p\)-adic cohomology. (English) Zbl 07236579 Nagoya Math. J. 239, 294-321 (2020). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R34 11R23 20C11 PDF BibTeX XML Cite \textit{D. Burns}, Nagoya Math. J. 239, 294--321 (2020; Zbl 07236579) Full Text: DOI
Aravire, Roberto; Jacob, Bill; O’Ryan, Manuel Cohomological kernels of purely inseparable field extensions. (English) Zbl 07229703 Pac. J. Math. 306, No. 2, 385-419 (2020). MSC: 12F15 12G05 16K50 PDF BibTeX XML Cite \textit{R. Aravire} et al., Pac. J. Math. 306, No. 2, 385--419 (2020; Zbl 07229703) Full Text: DOI
D’Addezio, Marco The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals. (English) Zbl 1454.14058 Sel. Math., New Ser. 26, No. 3, Paper No. 45, 41 p. (2020). MSC: 14F30 11F80 PDF BibTeX XML Cite \textit{M. D'Addezio}, Sel. Math., New Ser. 26, No. 3, Paper No. 45, 41 p. (2020; Zbl 1454.14058) Full Text: DOI
Nakamura, Hiroaki; Wojtkowiak, Zdzisław On distribution formulas for complex and \(l\)-adic polylogarithms. (English) Zbl 07228594 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer (ISBN 978-3-030-37030-5/hbk; 978-3-030-37031-2/ebook). Springer Proceedings in Mathematics & Statistics 314, 593-619 (2020). MSC: 11G55 19F27 11R70 19D45 PDF BibTeX XML Cite \textit{H. Nakamura} and \textit{Z. Wojtkowiak}, in: Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15--19, 2014. Cham: Springer. 593--619 (2020; Zbl 07228594) Full Text: DOI
Reichstein, Zinovy On a rationality problem for fields of cross-ratios. (English) Zbl 1444.14040 Tokyo J. Math. 43, No. 1, 205-213 (2020). Reviewer: Charlotte Ure (Charlottesville) MSC: 14E08 12G05 16H05 16K50 PDF BibTeX XML Cite \textit{Z. Reichstein}, Tokyo J. Math. 43, No. 1, 205--213 (2020; Zbl 1444.14040) Full Text: DOI Euclid
Schoof, René On the ideal class group of the normal closure of \(\mathbb{Q}(\sqrt[p]{n})\). (English) Zbl 07226983 J. Number Theory 216, 69-82 (2020). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R20 11R32 PDF BibTeX XML Cite \textit{R. Schoof}, J. Number Theory 216, 69--82 (2020; Zbl 07226983) Full Text: DOI
Sakagaito, Makoto A note on Gersten’s conjecture for étale cohomology over two-dimensional Henselian regular local rings. (Une note sur la conjecture de Gersten pour la cohomologie étale sur des anneaux locaux réguliers henséliens à deux dimensions.) (English. French summary) Zbl 1440.14106 C. R., Math., Acad. Sci. Paris 358, No. 1, 33-39 (2020). MSC: 14F20 12G05 11E72 PDF BibTeX XML Cite \textit{M. Sakagaito}, C. R., Math., Acad. Sci. Paris 358, No. 1, 33--39 (2020; Zbl 1440.14106) Full Text: DOI
Garrel, Nicolas Witt and cohomological invariants of Witt classes. (English) Zbl 1450.11035 Ann. \(K\)-Theory 5, No. 2, 213-248 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 12G05 19D45 PDF BibTeX XML Cite \textit{N. Garrel}, Ann. \(K\)-Theory 5, No. 2, 213--248 (2020; Zbl 1450.11035) Full Text: DOI
Suzuki, Takashi Grothendieck’s pairing on Néron component groups: Galois descent from the semistable case. (English) Zbl 07223247 Kyoto J. Math. 60, No. 2, 593-716 (2020). MSC: 11G10 11S25 14F20 PDF BibTeX XML Cite \textit{T. Suzuki}, Kyoto J. Math. 60, No. 2, 593--716 (2020; Zbl 07223247) Full Text: DOI Euclid
Bayer-Fluckiger, E.; First, U. A.; Huruguen, M. Orders that are étale-locally isomorphic. (English) Zbl 07222198 St. Petersbg. Math. J. 31, No. 4, 573-584 (2020) and Algebra Anal. 31, No. 4, 1-15 (2019). Reviewer: Adam Chapman (Tel Hai) MSC: 16H10 16W10 11E57 11E72 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} et al., St. Petersbg. Math. J. 31, No. 4, 573--584 (2020; Zbl 07222198) Full Text: DOI
Lee, Wan; Seo, Soogil On the arithmetic of modified idèle class groups. (English. Russian original) Zbl 07222195 Izv. Math. 84, No. 3, 545-591 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 3, 119-167 (2020). MSC: 11R23 11R27 11R29 11R37 11S25 11S31 PDF BibTeX XML Cite \textit{W. Lee} and \textit{S. Seo}, Izv. Math. 84, No. 3, 545--591 (2020; Zbl 07222195); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 3, 119--167 (2020) Full Text: DOI
Castillo, Daniel Macias Congruences for critical values of higher derivatives of twisted Hasse-Weil \(L\)-functions. II. (English) Zbl 07221844 Acta Arith. 195, No. 4, 327-365 (2020). MSC: 11G40 11G35 11R34 PDF BibTeX XML Cite \textit{D. M. Castillo}, Acta Arith. 195, No. 4, 327--365 (2020; Zbl 07221844) Full Text: DOI
Gillibert, Florence; Ranieri, Gabriele On local-global divisibility over \(\mathrm{GL}_2\)-type varieties. (English) Zbl 1450.11119 Acta Arith. 193, No. 4, 339-354 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R34 11G10 PDF BibTeX XML Cite \textit{F. Gillibert} and \textit{G. Ranieri}, Acta Arith. 193, No. 4, 339--354 (2020; Zbl 1450.11119) Full Text: DOI
Hsu, Chi-Yun Fourier coefficients of the overconvergent generalized eigenform associated to a CM form. (English) Zbl 07219264 Int. J. Number Theory 16, No. 6, 1185-1197 (2020). MSC: 11F33 11F80 11R34 PDF BibTeX XML Cite \textit{C.-Y. Hsu}, Int. J. Number Theory 16, No. 6, 1185--1197 (2020; Zbl 07219264) Full Text: DOI
Suresh, Venapally Third Galois cohomology group of function fields of curves over number fields. (English) Zbl 1453.11152 Algebra Number Theory 14, No. 3, 721-749 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R34 PDF BibTeX XML Cite \textit{V. Suresh}, Algebra Number Theory 14, No. 3, 721--749 (2020; Zbl 1453.11152) Full Text: DOI
Barkatou, Moulay; Cluzeau, Thomas; Di Vizio, Lucia; Weil, Jacques-Arthur Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz. (English) Zbl 1448.12002 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 054, 13 p. (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 12G05 34M03 34M15 34M35 PDF BibTeX XML Cite \textit{M. Barkatou} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 054, 13 p. (2020; Zbl 1448.12002) Full Text: DOI
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Sharifi, R.; Taylor, M. J. Higher Chern classes in Iwasawa theory. (English) Zbl 07208784 Am. J. Math. 142, No. 2, 627-682 (2020). MSC: 11R23 11R34 14C17 19D99 20E18 PDF BibTeX XML Cite \textit{F. M. Bleher} et al., Am. J. Math. 142, No. 2, 627--682 (2020; Zbl 07208784) Full Text: DOI
Li, Jiangtao Depth-graded motivic Lie algebra. (English) Zbl 1436.14013 J. Number Theory 214, 38-55 (2020). MSC: 14C15 14G32 11M32 14F42 17B01 17B55 19E15 PDF BibTeX XML Cite \textit{J. Li}, J. Number Theory 214, 38--55 (2020; Zbl 1436.14013) Full Text: DOI
Caraiani, Ana; Gulotta, Daniel R.; Hsu, Chi-Yun; Johansson, Christian; Mocz, Lucia; Reinecke, Emanuel; Shih, Sheng-Chi Shimura varieties at level \(\Gamma_1(p^{\infty})\) and Galois representations. (English) Zbl 1452.11063 Compos. Math. 156, No. 6, 1152-1230 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F75 11F80 11G18 14G22 PDF BibTeX XML Cite \textit{A. Caraiani} et al., Compos. Math. 156, No. 6, 1152--1230 (2020; Zbl 1452.11063) Full Text: DOI
Mináč, Ján; Palaisti, Marina; Pasini, Federico W.; Tân, Nguyễn Duy Enhanced Koszul properties in Galois cohomology. (English) Zbl 1439.12009 Res. Math. Sci. 7, No. 2, Paper No. 10, 34 p. (2020). Reviewer: Pierre Guillot (Strasbourg) MSC: 12G05 16S37 16E05 11E81 PDF BibTeX XML Cite \textit{J. Mináč} et al., Res. Math. Sci. 7, No. 2, Paper No. 10, 34 p. (2020; Zbl 1439.12009) Full Text: DOI
Boyer, Pascal Mirabolic subgroup, refined Newton stratification and cohomology of Lubin-Tate spaces. (Groupe mirabolique, stratification de Newton raffinée et cohomologie des espaces de Lubin-Tate.) (French. English summary) Zbl 07202204 Bull. Soc. Math. Fr. 148, No. 1, 1-23 (2020). MSC: 11F70 11F80 11F85 11G18 20C08 PDF BibTeX XML Cite \textit{P. Boyer}, Bull. Soc. Math. Fr. 148, No. 1, 1--23 (2020; Zbl 07202204) Full Text: DOI
Tschinkel, Yuri Rationality and specialization. (English) Zbl 1449.14005 Afr. Mat. 31, No. 1, 191-205 (2020). MSC: 14E08 14J60 14M20 PDF BibTeX XML Cite \textit{Y. Tschinkel}, Afr. Mat. 31, No. 1, 191--205 (2020; Zbl 1449.14005) Full Text: DOI
Nickel, Andreas A generalization of a theorem of Swan with applications to Iwasawa theory. (English) Zbl 1442.11146 Can. J. Math. 72, No. 3, 656-675 (2020). Reviewer: Wei Feng (Beijing) MSC: 11R23 11R34 11S23 11S25 PDF BibTeX XML Cite \textit{A. Nickel}, Can. J. Math. 72, No. 3, 656--675 (2020; Zbl 1442.11146) Full Text: DOI
Larsen, Michael J.; Lunts, Valery A. Irrationality of motivic zeta functions. (English) Zbl 07198454 Duke Math. J. 169, No. 1, 1-30 (2020). MSC: 14G10 11F80 14F42 14K15 PDF BibTeX XML Cite \textit{M. J. Larsen} and \textit{V. A. Lunts}, Duke Math. J. 169, No. 1, 1--30 (2020; Zbl 07198454) Full Text: DOI Euclid
Clausen, Dustin; Mathew, Akhil; Naumann, Niko; Noel, Justin Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes. (English) Zbl 1453.18011 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1149-1200 (2020). MSC: 18F25 18F20 19D55 55P42 55P43 PDF BibTeX XML Cite \textit{D. Clausen} et al., J. Eur. Math. Soc. (JEMS) 22, No. 4, 1149--1200 (2020; Zbl 1453.18011) Full Text: DOI
Caputo, Luca; Nuccio Mortarino Majno Di Capriglio, Filippo A. E. Class number formula for dihedral extensions. (English) Zbl 1450.11117 Glasg. Math. J. 62, No. 2, 323-353 (2020). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R20 11R34 11R37 PDF BibTeX XML Cite \textit{L. Caputo} and \textit{F. A. E. Nuccio Mortarino Majno Di Capriglio}, Glasg. Math. J. 62, No. 2, 323--353 (2020; Zbl 1450.11117) Full Text: DOI
Yu, Yih-Jeng A note on number knots and the splitting of the Hilbert class field. (English) Zbl 1442.11151 Taiwanese J. Math. 24, No. 2, 283-300 (2020). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11R32 11R34 11R37 12F10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 24, No. 2, 283--300 (2020; Zbl 1442.11151) Full Text: DOI Euclid
Davis, Rachel; Pries, Rachel Cohomology groups of Fermat curves via ray class fields of cyclotomic fields. (English) Zbl 1448.11202 J. Algebra 554, 78-105 (2020). MSC: 11R34 11D41 11R18 11R37 11Y40 13A50 14F20 55S35 PDF BibTeX XML Cite \textit{R. Davis} and \textit{R. Pries}, J. Algebra 554, 78--105 (2020; Zbl 1448.11202) Full Text: DOI
Garge, Shripad M.; Singh, Anupam Finiteness of \(z\)-classes in reductive groups. (English) Zbl 07189156 J. Algebra 554, 41-53 (2020). MSC: 20G15 11E72 PDF BibTeX XML Cite \textit{S. M. Garge} and \textit{A. Singh}, J. Algebra 554, 41--53 (2020; Zbl 07189156) Full Text: DOI
Harari, David Galois cohomology and class field theory. Translated from the French by Andrei Yafaev. (English) Zbl 07188893 Universitext. Cham: Springer (ISBN 978-3-030-43900-2/pbk; 978-3-030-43901-9/ebook). xiv, 338 p. (2020). MSC: 11-01 11R34 11R29 11R37 12G05 PDF BibTeX XML Cite \textit{D. Harari}, Galois cohomology and class field theory. Translated from the French by Andrei Yafaev. Cham: Springer (2020; Zbl 07188893) Full Text: DOI
Macedo, André The Hasse norm principle for \(A_n\)-extensions. (English) Zbl 1442.14086 J. Number Theory 211, 500-512 (2020). MSC: 14G12 14G05 11E72 11R37 20D06 PDF BibTeX XML Cite \textit{A. Macedo}, J. Number Theory 211, 500--512 (2020; Zbl 1442.14086) Full Text: DOI
Ahmed, Suman; Lim, Meng Fai On the Euler characteristics of signed Selmer groups. (English) Zbl 07184159 Bull. Aust. Math. Soc. 101, No. 2, 238-246 (2020). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Bull. Aust. Math. Soc. 101, No. 2, 238--246 (2020; Zbl 07184159) Full Text: DOI
Ash, A.; Gunnells, P. E.; Mcconnell, M.; Yasaki, D. On the growth of torsion in the cohomology of arithmetic groups. (English) Zbl 07182069 J. Inst. Math. Jussieu 19, No. 2, 537-569 (2020). Reviewer: Thomas A. Schmidt (Corvallis) MSC: 11F75 11F67 11F80 11Y99 PDF BibTeX XML Cite \textit{A. Ash} et al., J. Inst. Math. Jussieu 19, No. 2, 537--569 (2020; Zbl 07182069) Full Text: DOI
Ash, Avner; Gunnells, Paul E.; McConnell, Mark Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations. (English) Zbl 1445.11043 J. Algebra 553, 211-247 (2020). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F75 11F67 20J06 20E42 PDF BibTeX XML Cite \textit{A. Ash} et al., J. Algebra 553, 211--247 (2020; Zbl 1445.11043) Full Text: DOI
Morrow, Matthew Tell me …about the Fargues-Fontaine curve. (Raconte-moi …la courbe de Fargues-Fontaine.) (French) Zbl 1442.14076 Gaz. Math., Soc. Math. Fr. 163, 36-41 (2020). MSC: 14F30 11F80 11G25 PDF BibTeX XML Cite \textit{M. Morrow}, Gaz. Math., Soc. Math. Fr. 163, 36--41 (2020; Zbl 1442.14076)
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic cohomology of the Drinfeld tower: the 1-dimensional case. (Cohomologie \(p\)-adique de la tour de Drinfeld: Le cas de la dimension 1.) (French. English summary) Zbl 1451.11029 J. Am. Math. Soc. 33, No. 2, 311-362 (2020). Reviewer: Lekbir Chakri (Rabat) MSC: 11E95 11F80 11F85 14F30 14G35 14H99 20G25 22E35 PDF BibTeX XML Cite \textit{P. Colmez} et al., J. Am. Math. Soc. 33, No. 2, 311--362 (2020; Zbl 1451.11029) Full Text: DOI
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre Decomposability of orthogonal involutions in degree 12. (English) Zbl 1452.11040 Pac. J. Math. 304, No. 1, 169-180 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E72 11E81 16W10 PDF BibTeX XML Cite \textit{A. Quéguiner-Mathieu} and \textit{J.-P. Tignol}, Pac. J. Math. 304, No. 1, 169--180 (2020; Zbl 1452.11040) Full Text: DOI
Fakhruddin, Najmuddin Finite group schemes of essential dimension one. (English) Zbl 1441.14149 Doc. Math. 25, 55-64 (2020). MSC: 14L15 12G05 PDF BibTeX XML Cite \textit{N. Fakhruddin}, Doc. Math. 25, 55--64 (2020; Zbl 1441.14149) Full Text: DOI
Barry, Demba; Chapman, Adam; Laghribi, Ahmed The descent of biquaternion algebras in characteristic two. (English) Zbl 1454.16024 Isr. J. Math. 235, No. 1, 295-323 (2020). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 11E81 11E04 12G05 PDF BibTeX XML Cite \textit{D. Barry} et al., Isr. J. Math. 235, No. 1, 295--323 (2020; Zbl 1454.16024) Full Text: DOI
Cais, Bryden; Liu, Tong Corrigendum to “Breuil-Kisin modules via crystalline cohomology”. (English) Zbl 1431.14013 Trans. Am. Math. Soc. 373, No. 3, 2251-2252 (2020). MSC: 14F30 11F80 11G25 14F20 14G20 14G22 PDF BibTeX XML Cite \textit{B. Cais} and \textit{T. Liu}, Trans. Am. Math. Soc. 373, No. 3, 2251--2252 (2020; Zbl 1431.14013) Full Text: DOI
Efrat, Ido The lower \(p\)-central series of a free profinite group and the shuffle algebra. (English) Zbl 07173738 J. Pure Appl. Algebra 224, No. 6, Article ID 106260, 13 p. (2020). MSC: 20J06 12E30 12F10 12G05 20E18 68R15 PDF BibTeX XML Cite \textit{I. Efrat}, J. Pure Appl. Algebra 224, No. 6, Article ID 106260, 13 p. (2020; Zbl 07173738) Full Text: DOI
Becher, Karim Johannes Biquaternion division algebras over rational function fields. (English) Zbl 1455.12002 J. Pure Appl. Algebra 224, No. 7, Article ID 106282, 7 p. (2020). Reviewer: Kevin Hutchinson (Dublin) MSC: 12E30 12G05 19D45 PDF BibTeX XML Cite \textit{K. J. Becher}, J. Pure Appl. Algebra 224, No. 7, Article ID 106282, 7 p. (2020; Zbl 1455.12002) Full Text: DOI
Scavia, Federico Retract rationality and algebraic tori. (English) Zbl 07166541 Can. Math. Bull. 63, No. 1, 173-186 (2020). MSC: 11E72 14E08 20C10 20G15 PDF BibTeX XML Cite \textit{F. Scavia}, Can. Math. Bull. 63, No. 1, 173--186 (2020; Zbl 07166541) Full Text: DOI
Ţurcaş, George C. On Serre’s modularity conjecture and Fermat’s equation over quadratic imaginary fields of class number one. (English) Zbl 07153005 J. Number Theory 209, 516-530 (2020). MSC: 11D41 11F03 11F80 11F75 PDF BibTeX XML Cite \textit{G. C. Ţurcaş}, J. Number Theory 209, 516--530 (2020; Zbl 07153005) Full Text: DOI
Hasegawa, Sumito; Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori in small dimensions. (English) Zbl 07146722 Math. Comput. 89, No. 322, 923-940 (2020). MSC: 11E72 20C10 20G15 13A50 14E08 PDF BibTeX XML Cite \textit{S. Hasegawa} et al., Math. Comput. 89, No. 322, 923--940 (2020; Zbl 07146722) Full Text: DOI arXiv
Ţurcaş, George C. Irreducible binary cubics and the generalised superelliptic equation over number fields. (English) Zbl 07146372 Acta Arith. 192, No. 1, 73-93 (2020). MSC: 11G05 11F80 11F03 11F75 PDF BibTeX XML Cite \textit{G. C. Ţurcaş}, Acta Arith. 192, No. 1, 73--93 (2020; Zbl 07146372) Full Text: DOI
Ash, Avner; Doud, Darrin Sums of Galois representations and arithmetic homology. (English) Zbl 07144591 Trans. Am. Math. Soc. 373, No. 1, 273-293 (2020). Reviewer: Anton Deitmar (Tübingen) MSC: 11F75 11F80 PDF BibTeX XML Cite \textit{A. Ash} and \textit{D. Doud}, Trans. Am. Math. Soc. 373, No. 1, 273--293 (2020; Zbl 07144591) Full Text: DOI
Maarefparvar, Abbas; Rajaei, Ali Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\). (English) Zbl 07118790 J. Number Theory 207, 367-384 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R29 11R34 11R37 11S15 13F20 PDF BibTeX XML Cite \textit{A. Maarefparvar} and \textit{A. Rajaei}, J. Number Theory 207, 367--384 (2020; Zbl 07118790) Full Text: DOI arXiv
Flicker, Yuval Z. Conjugacy classes of finite subgroups of \(\mathrm{SL}(2,F)\), \(\mathrm{SL}(3,\bar{F})\). (English. French summary) Zbl 1441.14150 J. Théor. Nombres Bordx. 31, No. 3, 555-571 (2019). MSC: 14L15 11E72 14E08 14G05 20G05 14G27 14G25 PDF BibTeX XML Cite \textit{Y. Z. Flicker}, J. Théor. Nombres Bordx. 31, No. 3, 555--571 (2019; Zbl 1441.14150) Full Text: DOI
Bitan, Rony A.; Schein, Michael M. On the flat cohomology of binary norm forms. (English. French summary) Zbl 1445.11023 J. Théor. Nombres Bordx. 31, No. 3, 527-553 (2019). MSC: 11E41 11E72 11E12 PDF BibTeX XML Cite \textit{R. A. Bitan} and \textit{M. M. Schein}, J. Théor. Nombres Bordx. 31, No. 3, 527--553 (2019; Zbl 1445.11023) Full Text: DOI
Hattori, Shin Integral \(p\)-adic Hodge theory and ramification of crystalline representations. (English) Zbl 1454.11105 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 159-203 (2019). MSC: 11F80 14C30 14G20 14F30 PDF BibTeX XML Cite \textit{S. Hattori}, Panor. Synth. 54, 159--203 (2019; Zbl 1454.11105)
Caruso, Xavier An introduction to \(p\)-adic period rings. (English) Zbl 1443.13018 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 19-92 (2019). MSC: 13F35 11F80 11S20 11S15 14F30 14G20 14-01 PDF BibTeX XML Cite \textit{X. Caruso}, Panor. Synth. 54, 19--92 (2019; Zbl 1443.13018)
Freixas i Montplet, Gerard An introduction to Hodge-Tate decompositions. (English) Zbl 1443.14023 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 1-17 (2019). MSC: 14F20 14F30 11G10 11G25 14-01 14F40 PDF BibTeX XML Cite \textit{G. Freixas i Montplet}, Panor. Synth. 54, 1--17 (2019; Zbl 1443.14023)
Merkurjev, Alexander S. Rationality problem for classifying spaces of spinor groups. (English. Russian original) Zbl 1442.14150 Proc. Steklov Inst. Math. 307, 115-124 (2019); translation from Tr. Mat. Inst. Steklova 307, 132-141 (2019). MSC: 14L35 11E72 15A66 20G15 PDF BibTeX XML Cite \textit{A. S. Merkurjev}, Proc. Steklov Inst. Math. 307, 115--124 (2019; Zbl 1442.14150); translation from Tr. Mat. Inst. Steklova 307, 132--141 (2019) Full Text: DOI
Chatzidakis, Zoé; Pillay, Anand Generalized Picard-Vessiot extensions and differential Galois cohomology. (English. French summary) Zbl 1447.12003 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 813-830 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 03C98 PDF BibTeX XML Cite \textit{Z. Chatzidakis} and \textit{A. Pillay}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 813--830 (2019; Zbl 1447.12003) Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Picard-Vessiot extensions of real differential fields. (English) Zbl 1447.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 13B05 14P05 12D15 PDF BibTeX XML Cite \textit{T. Crespo} and \textit{Z. Hajto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019; Zbl 1447.12004) Full Text: DOI
Alsaody, Seidon; Pianzola, Arturo On the classification of Lie bialgebras by cohomological means. (English) Zbl 07151186 Doc. Math. 24, 2583-2612 (2019). MSC: 17B62 17B37 20G10 PDF BibTeX XML Cite \textit{S. Alsaody} and \textit{A. Pianzola}, Doc. Math. 24, 2583--2612 (2019; Zbl 07151186) Full Text: DOI arXiv
Venkatesh, Akshay Derived Hecke algebra and cohomology of arithmetic groups. (English) Zbl 07147019 Forum Math. Pi 7, Paper No. e7, 119 p. (2019). Reviewer: Nils Matthes (Oxford) MSC: 11F75 11F80 PDF BibTeX XML Cite \textit{A. Venkatesh}, Forum Math. Pi 7, Paper No. e7, 119 p. (2019; Zbl 07147019) Full Text: DOI arXiv
Izquierdo, Diego Duality and local-global principle for two-dimensional Henselian local rings (with an appendix by Joël Riou). (Dualité et principe local-global pour les anneaux locaux henséliens de dimension 2 (avec un appendice de Joël Riou).) (French. English summary) Zbl 07141509 Algebr. Geom. 6, No. 2, 148-176 (2019). MSC: 11E72 11G99 12G05 14G05 14G27 PDF BibTeX XML Cite \textit{D. Izquierdo}, Algebr. Geom. 6, No. 2, 148--176 (2019; Zbl 07141509) Full Text: DOI
Merkurjev, A. On a pairing for algebraic tori. (English) Zbl 07140576 Math. Nachr. 292, No. 10, 2283-2293 (2019). MSC: 12G05 14L10 PDF BibTeX XML Cite \textit{A. Merkurjev}, Math. Nachr. 292, No. 10, 2283--2293 (2019; Zbl 07140576) Full Text: DOI
Le, Daniel; Hung, Bao V. Le; Levin, Brandon Weight elimination in Serre-type conjectures. (English) Zbl 07131292 Duke Math. J. 168, No. 13, 2433-2506 (2019). MSC: 11F80 11F33 11F75 20C33 PDF BibTeX XML Cite \textit{D. Le} et al., Duke Math. J. 168, No. 13, 2433--2506 (2019; Zbl 07131292) Full Text: DOI Euclid
Izquierdo, Diego Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields. (English) Zbl 1454.11201 Trans. Am. Math. Soc. 372, No. 12, 8621-8662 (2019). Reviewer: Mouad Moutaoukil (Fès) MSC: 11R34 11G25 11G35 11S25 12G05 14G15 14G20 14G25 14J20 14J17 PDF BibTeX XML Cite \textit{D. Izquierdo}, Trans. Am. Math. Soc. 372, No. 12, 8621--8662 (2019; Zbl 1454.11201) Full Text: DOI arXiv
Berger, Tobias; Klosin, Krzysztof Modularity of residual Galois extensions and the Eisenstein ideal. (English) Zbl 07130334 Trans. Am. Math. Soc. 372, No. 11, 8043-8065 (2019). MSC: 11F80 11F33 11R34 PDF BibTeX XML Cite \textit{T. Berger} and \textit{K. Klosin}, Trans. Am. Math. Soc. 372, No. 11, 8043--8065 (2019; Zbl 07130334) Full Text: DOI arXiv
Lan, Kai-Wen Cohomology of automorphic bundles. (English) Zbl 07128783 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-369-2/pbk; 978-1-57146-371-5/set). Advanced Lectures in Mathematics (ALM) 43, 303-325 (2019). MSC: 11G18 11F75 14F17 11F33 11F80 PDF BibTeX XML Cite \textit{K.-W. Lan}, in: Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. 303--325 (2019; Zbl 07128783)