Hoshi, Yuichiro; Mochizuki, Shinichi Topics surrounding the combinatorial anabelian geometry of hyperbolic curves. IV: Discreteness and sections. (English) Zbl 07960606 Nagoya Math. J. 256, 785-885 (2024). MSC: 14H30 14H10 × Cite Format Result Cite Review PDF Full Text: DOI
Koymans, Peter; Pagano, Carlo Two-step nilpotent extensions are not anabelian. (English) Zbl 07794044 Math. Z. 306, No. 2, Paper No. 31, 42 p. (2024). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bresciani, Giulio On the birational section conjecture with strong birationality assumptions. (English) Zbl 1545.11059 Invent. Math. 235, No. 1, 129-150 (2024). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 14H25 14H30 14G05 14F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivanov, Sergei; Mamaev, Daniil; Nordskova, Anya Banach’s isometric subspace problem in dimension four. (English) Zbl 1532.46007 Invent. Math. 233, No. 3, 1393-1425 (2023). Reviewer: Tomasz Kania (Praha) MSC: 46B04 46C15 52A21 52A20 52A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jarden, Moshe; Petersen, Sebastian The section conjecture over large algebraic extensions of finitely generated fields. (English) Zbl 1544.12001 Math. Nachr. 295, No. 5, 890-911 (2022). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12E30 12F10 14K15 14G25 × Cite Format Result Cite Review PDF Full Text: DOI
Lehmann, Brian; Tanimoto, Sho Classifying sections of del Pezzo fibrations. II. (English) Zbl 1504.14054 Geom. Topol. 26, No. 6, 2565-2647 (2022). Reviewer: Edoardo Ballico (Povo) MSC: 14H10 14J10 14J20 14J26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saïdi, Mohamed; Tyler, Michael On the birational section conjecture over finitely generated fields. (English) Zbl 1481.11066 Algebra Number Theory 15, No. 2, 435-460 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bresciani, Giulio Some implications between Grothendieck’s anabelian conjectures. (English) Zbl 1468.14046 Algebr. Geom. 8, No. 2, 231-267 (2021). MSC: 14F35 14F30 11G35 14A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogomolov, Fedor A.; Rovinsky, Marat; Tschinkel, Yuri Homomorphisms of multiplicative groups of fields preserving algebraic dependence. (English) Zbl 1431.14018 Eur. J. Math. 5, No. 3, 656-685 (2019). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 14G32 11R32 11R58 14E08 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pop, Florian The \(\mathbb{Z}/p\) metabelian birational \(p\)-adic section conjecture for varieties. (English) Zbl 1428.11120 Compos. Math. 153, No. 7, 1433-1445 (2017). MSC: 11G20 14G05 14G32 × Cite Format Result Cite Review PDF Full Text: DOI
Wickelgren, Kirsten Massey products \(\langle y,x,x,\ldots ,x,x,y\rangle\) in Galois cohomology via rational points. (English) Zbl 1380.55013 J. Pure Appl. Algebra 221, No. 7, 1845-1866 (2017). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 55S30 11S25 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saïdi, Mohamed On the section conjecture over function fields and finitely generated fields. (English) Zbl 1405.11085 Publ. Res. Inst. Math. Sci. 52, No. 3, 335-357 (2016). MSC: 11G30 14H25 14H30 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borne, Niels; Emsalem, Michel; Stix, Jakob Lifting Galois sections along torsors. (English) Zbl 1405.14074 Math. Nachr. 288, No. 17-18, 1939-1951 (2015). MSC: 14H30 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stix, Jakob On the birational section conjecture with local conditions. (English) Zbl 1362.14030 Invent. Math. 199, No. 1, 239-265 (2015). Reviewer: Gerd Faltings (Bonn) MSC: 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ryabogin, Dmitry; Zvavitch, Artem Analytic methods in convex geometry. (English) Zbl 1319.52008 Analytical and probabilistic methods in the geometry of convex bodies. Warsaw: Polish Academy of Science, Institute of Mathematics (ISBN 978-83-86806-24-9/pbk). IMPAN Lecture Notes 2, 87-183 (2014). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A38 52A40 42A38 × Cite Format Result Cite Review PDF
Saïdi, Mohamed A local-global principle for torsors under geometric prosolvable fundamental groups. (English) Zbl 1297.11066 Manuscr. Math. 145, No. 1-2, 163-174 (2014). Reviewer: Lars Kindler (Berlin) MSC: 11G30 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mochizuki, Shinichi Topics in absolute anabelian geometry. II: Decomposition groups and endomorphisms. (English) Zbl 1367.14011 J. Math. Sci., Tokyo 20, No. 2, 171-269 (2013). MSC: 14H30 14H25 × Cite Format Result Cite Review PDF
Stix, Jakob Birational \(p\)-adic Galois sections in higher dimensions. (English) Zbl 1306.14007 Isr. J. Math. 198, 49-61 (2013). Reviewer: Hiroaki Nakamura (Osaka) MSC: 14G32 12J20 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saïdi, Mohamed On the \(p\)-adic section conjecture. (English) Zbl 1262.14029 J. Pure Appl. Algebra 217, No. 3, 583-584 (2013). Reviewer: Lars Kindler (Berlin) MSC: 14H30 14G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wickelgren, Kirsten \(n\)-nilpotent obstructions to \(\pi_1\) sections of \(\mathbb P^1-\{0,1,\infty\}\) and Massey products. (English) Zbl 1321.11116 Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 579-600 (2012). MSC: 11S25 14H30 55S30 × Cite Format Result Cite Review PDF Full Text: arXiv
Stix, Jakob On cuspidal sections of algebraic fundamental groups. (English) Zbl 1321.14027 Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 519-563 (2012). MSC: 14H30 14G32 14G05 12E30 14F35 × Cite Format Result Cite Review PDF Full Text: arXiv
Fetter, Hans L. Numerical exploration of a hexagonal string billiard. (English) Zbl 1300.37027 Physica D 241, No. 8, 830-846 (2012). MSC: 37D50 70F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saïdi, Mohamed Around the Grothendieck anabelian section conjecture. (English) Zbl 1261.14012 Coates, John (ed.) et al., Non-abelian fundamental groups and Iwasawa theory. Cambridge: Cambridge University Press (ISBN 978-1-107-64885-2/pbk). London Mathematical Society Lecture Note Series 393, 72-106 (2012). Reviewer: Hiroaki Nakamura (Okayama) MSC: 14G32 12F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hu, Pei-Chu; Yang, Chung-Chun The second Main theorem of holomorphic curves into projective spaces. (English) Zbl 1233.32003 Trans. Am. Math. Soc. 363, No. 12, 6465-6479 (2011). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32A22 32H02 32H25 32H30 × Cite Format Result Cite Review PDF Full Text: DOI
Stix, Jakob The Brauer-Manin obstruction for sections of the fundamental group. (English) Zbl 1227.14032 J. Pure Appl. Algebra 215, No. 6, 1371-1397 (2011). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14H30 11G20 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoshi, Yuichiro Existence of nongeometric pro-\(p\) Galois sections of hyperbolic curves. (English) Zbl 1222.14057 Publ. Res. Inst. Math. Sci. 46, No. 4, 829-848 (2010). Reviewer: Hiroaki Nakamura (Okayama) MSC: 14H30 11G30 14H25 × Cite Format Result Cite Review PDF
Esnault, Hélène; Wittenberg, Olivier On abelian birational sections. (English) Zbl 1209.14007 J. Am. Math. Soc. 23, No. 3, 713-724 (2010). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14C25 14G20 14G25 14G32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stix, Jakob On the period-index problem in light of the section conjecture. (English) Zbl 1198.14025 Am. J. Math. 132, No. 1, 157-180 (2010). Reviewer: Gunther Cornelissen (Utrecht) MSC: 14H30 11G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stix, Jakob Trading degree for dimension in the section conjecture: the non-abelian Shapiro lemma. (English) Zbl 1190.14028 Math. J. Okayama Univ. 52, 29-43 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14H30 14G05 20E22 × Cite Format Result Cite Review PDF Full Text: arXiv
Harari, David; Szamuely, Tamás Galois sections for abelianized fundamental groups. (English) Zbl 1180.14027 Math. Ann. 344, No. 4, 779-800 (2009). Reviewer: Hiroaki Nakamura (Okayama) MSC: 14H30 11G10 11R32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mochizuki, Shinichi The absolute anabelian geometry of hyperbolic curves. (English) Zbl 1062.14031 Hashimoto, Ki-ichiro (ed.) et al., Galois theory and modular forms. Boston MA: Kluwer Academic Publishers (ISBN 1-4020-7689-4/hbk). Dev. Math. 11, 77-122 (2004). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 14G32 11G20 × Cite Format Result Cite Review PDF
Petrović, Zoran Z. On applied algebraic topology. (English) Zbl 1012.57001 Bokan, Neda (ed.), Proceedings of the symposium on contemporary mathematics: devoted to the 125th anniversary of the Faculty of Mathematics and to 190 years of teaching mathematics in Serbia, Belgrade, Serbia, December 18-20, 1998. Belgrade: University of Belgrade, Faculty of Mathematics. 29-37 (2000). Reviewer: Siniša Vrećica (Beograd) MSC: 57-02 57R42 57R22 × Cite Format Result Cite Review PDF
De Sapio, Rodolfo; Walschap, Gerard Diffeomorphism of total spaces and equivalence of bundles. (English) Zbl 0955.55008 Topology 39, No. 5, 921-929 (2000). Reviewer: Július Korbaš (Bratislava) MSC: 55R25 57R22 57R60 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Bumsig Quantum hyperplane section theorem for homogeneous spaces. (English) Zbl 1023.14028 Acta Math. 183, No. 1, 71-99 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 14N35 14M17 14M10 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofer, Helmut H. W. Dynamics, topology and holomorphic curves. (English) Zbl 0908.58020 Doc. Math., Extra Vol. ICM Berlin 1998, vol. I, 255-280 (1998). Reviewer: George M.Rassias (Athens) MSC: 37J99 37D40 53D25 × Cite Format Result Cite Review PDF Full Text: EMIS
Simić, Slobodan Codimension one Anosov flows and a conjecture of Verjovsky. (English) Zbl 0903.58026 Ergodic Theory Dyn. Syst. 17, No. 5, 1211-1231 (1997). Reviewer: E.Ershov (St.Peterburg) MSC: 37D99 × Cite Format Result Cite Review PDF Full Text: DOI
Ashikaga, Tadashi Normal two-dimensional hypersurface triple points and the Horikawa type resolution. (English) Zbl 0801.14011 Tôhoku Math. J., II. Ser. 44, No. 2, 177-200 (1992). Reviewer: M.Vaquie (Paris) MSC: 14J17 14B05 14E20 32S25 32S45 × Cite Format Result Cite Review PDF Full Text: DOI
Usa, Takeshi An algebraic cycle relating to a section with high penetration. (English) Zbl 0756.14005 J. Math. Kyoto Univ. 30, No. 3, 517-522 (1990). Reviewer: G.Horrocks (Newcastle upon Tyne) MSC: 14C25 14C30 × Cite Format Result Cite Review PDF Full Text: DOI
Esnault, Hélène; Viehweg, Eckart Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields. (English) Zbl 0742.14020 Compos. Math. 76, No. 1-2, 69-85 (1990). Reviewer: L.Bădescu (Bucureşti) MSC: 14G40 14F05 14J20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
[Ahlswede, Rudolf; Erdős, Paul; Pach, János; Spencer, Joel; Nešetřil, Jaroslav; Babai, Laszlo; Fraissé, R.; Graham, Ronald L.; Sloane, N. J. A.; Tuza, Zs.] Problems. (English) Zbl 0699.05001 Irregularities of partitions, Pap. Meet., Fertod/Hung. 1986, Algorithms Comb. 8, 161-165 (1989). MSC: 05-01 05Cxx 00A07 × Cite Format Result Cite Review PDF
Böttcher, Albrecht; Silbermann, Bernd Toeplitz operators and determinants generated by symbols with one Fisher- Hartwig singularity. (English) Zbl 0613.47024 Math. Nachr. 127, 95-123 (1986). Reviewer: K.Seddighi MSC: 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
van Ravenstein, Tony; Tognetti, Keith; Winley, Graham Golden hops around a circle. (English) Zbl 0587.10002 Fibonacci numbers and their applications, Pap. 1st Int. Conf., Patras/Greece 1984, Math. Appl., D. Reidel Publ. Co. 28, 293-304 (1986). Reviewer: R.F.Tichy MSC: 11B37 11B39 × Cite Format Result Cite Review PDF
Ballico, Edoardo; Ellia, Philippe On postulation of curves in \({\mathbb{P}}^4\). (English) Zbl 0535.14015 Math. Z. 188, 215-223 (1985). MSC: 14H10 14N05 14E25 14D20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Barnsley, M.; Cornille, H. General solution of a Boltzmann equation, and the formation of Maxwellian tails. (English) Zbl 0488.76081 Proc. R. Soc. Lond., Ser. A 374, 371-400 (1981). MSC: 76P05 76M99 82B35 82B30 44A05 82B40 × Cite Format Result Cite Review PDF Full Text: DOI
Stellmacher, Bernd On finite groups whose Sylow 2-subgroups are contained in unique maximal subgroups. (English) Zbl 0454.20019 Finite groups, Santa Cruz Conf. 1979, Proc. Symp. Pure Math. 37, 123-125 (1980). MSC: 20D05 × Cite Format Result Cite Review PDF
McAvaney, K. L. A conjecture on two-point deleted subgraphs of Cartesian products. (English) Zbl 0443.05059 Combinatorical mathematics VII, Proc. 7th Aust. Conf., Newcastle/ Aust. 1979, Lect. Notes Math. 829, 172-185 (1980). MSC: 05C60 05C99 × Cite Format Result Cite Review PDF
Franks, John M. Morse-Smale flows and homotopy theory. (English) Zbl 0426.58013 Topology 18, 199-215 (1979). MSC: 37D15 57Q05 57R60 57N60 37C10 57R25 × Cite Format Result Cite Review PDF Full Text: DOI