Grieve, Nathan Vertices of the Harder and Narasimhan polygons and the laws of large numbers. (English) Zbl 07664412 Can. Math. Bull. 66, No. 1, 340-357 (2023). Reviewer: David McKinnon (Waterloo) MSC: 14F06 11J68 14J10 PDF BibTeX XML Cite \textit{N. Grieve}, Can. Math. Bull. 66, No. 1, 340--357 (2023; Zbl 07664412) Full Text: DOI OpenURL
Bost, Jean-Benoît Euclidean lattices, theta invariants, and thermodynamic formalism. (English) Zbl 1458.11112 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 105-211 (2021). MSC: 11Hxx 14G40 11-01 14-01 PDF BibTeX XML Cite \textit{J.-B. Bost}, Lect. Notes Math. 2276, 105--211 (2021; Zbl 1458.11112) Full Text: DOI arXiv OpenURL
Gaudron, Éric Minima and slopes of rigid adelic spaces. (English) Zbl 1458.11163 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 37-76 (2021). MSC: 11R56 11E12 14G40 11-01 PDF BibTeX XML Cite \textit{É. Gaudron}, Lect. Notes Math. 2276, 37--76 (2021; Zbl 1458.11163) Full Text: DOI OpenURL
Coulangeon, Renaud; Nebe, Gabriele Slopes of Euclidean lattices, tensor product and group actions. (English) Zbl 1451.11064 Isr. J. Math. 235, No. 1, 39-61 (2020). Reviewer: Alar Leibak (Tallinn) MSC: 11H50 11E12 20H05 11E39 14G40 16S34 PDF BibTeX XML Cite \textit{R. Coulangeon} and \textit{G. Nebe}, Isr. J. Math. 235, No. 1, 39--61 (2020; Zbl 1451.11064) Full Text: DOI arXiv OpenURL
Solan, Omri N. Stable and well-rounded lattices in diagonal orbits. (English) Zbl 1445.11057 Isr. J. Math. 234, No. 2, 501-519 (2019). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H06 PDF BibTeX XML Cite \textit{O. N. Solan}, Isr. J. Math. 234, No. 2, 501--519 (2019; Zbl 1445.11057) Full Text: DOI OpenURL
Randriambololona, Hugues Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory). (English) Zbl 1409.14047 J. Pure Appl. Algebra 223, No. 7, 2997-3030 (2019). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94B27 05B35 06C05 06C10 11H71 14G40 14H60 14L24 94B05 94B75 PDF BibTeX XML Cite \textit{H. Randriambololona}, J. Pure Appl. Algebra 223, No. 7, 2997--3030 (2019; Zbl 1409.14047) Full Text: DOI arXiv OpenURL
Vogtmann, Karen The topology and geometry of automorphism groups of free groups. (English) Zbl 1439.20049 Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS). 181-202 (2018). MSC: 20F65 20E05 20E36 20F28 57S05 PDF BibTeX XML Cite \textit{K. Vogtmann}, in: European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18--22, 2016. Zürich: European Mathematical Society (EMS). 181--202 (2018; Zbl 1439.20049) Full Text: DOI arXiv OpenURL
Macrì, Emanuele; Schmidt, Benjamin Lectures on Bridgeland stability. (English) Zbl 1391.14001 Brambila Paz, Leticia (ed.) et al., Moduli of curves. CIMAT Guanajuato, Mexico 2016. Lecture notes of a CIMPA-ICTP school, Guanajuato, Mexico, February 22 – March 4, 2016. Cham: Springer (ISBN 978-3-319-59485-9/pbk; 978-3-319-59486-6/ebook). Lecture Notes of the Unione Matematica Italiana 21, 139-211 (2017). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14-01 14F05 18E30 PDF BibTeX XML Cite \textit{E. Macrì} and \textit{B. Schmidt}, Lect. Notes Unione Mat. Ital. 21, 139--211 (2017; Zbl 1391.14001) Full Text: DOI arXiv OpenURL
Guignard, Quentin Counting algebraic points of bounded height on projective spaces. (English) Zbl 1416.11112 J. Number Theory 170, 103-141 (2017). MSC: 11G50 11G35 14G05 PDF BibTeX XML Cite \textit{Q. Guignard}, J. Number Theory 170, 103--141 (2017; Zbl 1416.11112) Full Text: DOI OpenURL
Bartels, Arthur On proofs of the Farrell-Jones conjecture. (English) Zbl 1434.19002 Davis, Michael W. (ed.) et al., Topology and geometric group theory, Ohio State University, Columbus, USA, 2010–2011. Cham: Springer. Springer Proc. Math. Stat. 184, 1-31 (2016). MSC: 19D50 19A31 19B28 19G24 20F67 PDF BibTeX XML Cite \textit{A. Bartels}, Springer Proc. Math. Stat. 184, 1--31 (2016; Zbl 1434.19002) Full Text: DOI arXiv OpenURL
Shapira, Uri; Weiss, Barak Stable lattices and the diagonal group. (English) Zbl 1370.11074 J. Eur. Math. Soc. (JEMS) 18, No. 8, 1753-1767 (2016). Reviewer: Alar Leibak (Tallinn) MSC: 11H06 52C07 22E10 11H46 PDF BibTeX XML Cite \textit{U. Shapira} and \textit{B. Weiss}, J. Eur. Math. Soc. (JEMS) 18, No. 8, 1753--1767 (2016; Zbl 1370.11074) Full Text: DOI arXiv OpenURL
Rüping, H. The Farrell-Jones conjecture for \(S\)-arithmetic groups. (English) Zbl 1365.18010 J. Topol. 9, No. 1, 51-90 (2016). Reviewer: Stratos Prassidis (Karlovassi) MSC: 18F25 19A31 19B28 19G24 PDF BibTeX XML Cite \textit{H. Rüping}, J. Topol. 9, No. 1, 51--90 (2016; Zbl 1365.18010) Full Text: DOI arXiv OpenURL
Fukshansky, Lenny Stability of ideal lattices from quadratic number fields. (English) Zbl 1325.11061 Ramanujan J. 37, No. 2, 243-256 (2015). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11H06 11R11 11E16 11H55 PDF BibTeX XML Cite \textit{L. Fukshansky}, Ramanujan J. 37, No. 2, 243--256 (2015; Zbl 1325.11061) Full Text: DOI arXiv OpenURL
Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\). (English) Zbl 1300.19001 Publ. Math., Inst. Hautes Étud. Sci. 119, 97-125 (2014). Reviewer: Piotr Krasoń (Szczecin) MSC: 19D55 19G24 20J05 PDF BibTeX XML Cite \textit{A. Bartels} et al., Publ. Math., Inst. Hautes Étud. Sci. 119, 97--125 (2014; Zbl 1300.19001) Full Text: DOI arXiv OpenURL
Bost, Jean-Benoît; Chen, Huayi Concerning the semistability of tensor products in Arakelov geometry. (English) Zbl 1286.14040 J. Math. Pures Appl. (9) 99, No. 4, 436-488 (2013). Reviewer: Shun Tang (Beijing) MSC: 14G40 PDF BibTeX XML Cite \textit{J.-B. Bost} and \textit{H. Chen}, J. Math. Pures Appl. (9) 99, No. 4, 436--488 (2013; Zbl 1286.14040) Full Text: DOI arXiv OpenURL
André, Yves On nef and semistable Hermitian lattices, and their behaviour under tensor product. (English) Zbl 1256.11030 Tohoku Math. J. (2) 63, No. 4, Centen. Iss., 629-649 (2011). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E39 14G25 14H60 PDF BibTeX XML Cite \textit{Y. André}, Tôhoku Math. J. (2) 63, No. 4, 629--649 (2011; Zbl 1256.11030) Full Text: DOI arXiv OpenURL
Velásquez Castañón, Oswaldo Upper bound for the number of zeros of a meromorphic function outside a vertical line and applications. (Majoration du nombre de zéros d’une fonction méromorphe en dehors d’une droite verticale et applications.) (French, English) Zbl 1203.11059 J. Anal. Math. 110, 67-127 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 PDF BibTeX XML Cite \textit{O. Velásquez Castañón}, J. Anal. Math. 110, 67--127 (2010; Zbl 1203.11059) Full Text: DOI arXiv OpenURL
Bost, Jean-Benoît; Künnemann, Klaus Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers. (English) Zbl 1187.14027 Adv. Math. 223, No. 3, 987-1106 (2010). Reviewer: Xander Faber (Montreal) MSC: 14G40 11H31 11H55 14F05 18G15 PDF BibTeX XML Cite \textit{J.-B. Bost} and \textit{K. Künnemann}, Adv. Math. 223, No. 3, 987--1106 (2010; Zbl 1187.14027) Full Text: DOI arXiv Link OpenURL
Chen, Huayi Harder-Narasimhan categories. (English) Zbl 1186.18006 J. Pure Appl. Algebra 214, No. 2, 187-200 (2010). Reviewer: Gereon Quick (Münster) MSC: 18E10 14H60 14G40 18F99 PDF BibTeX XML Cite \textit{H. Chen}, J. Pure Appl. Algebra 214, No. 2, 187--200 (2010; Zbl 1186.18006) Full Text: DOI arXiv OpenURL
Chen, Huayi Maximal slope of tensor product of Hermitian vector bundles. (English) Zbl 1170.14013 J. Algebr. Geom. 18, No. 3, 575-603 (2009). Reviewer: Cristiana Bertolin (Padova) MSC: 14F05 14G40 PDF BibTeX XML Cite \textit{H. Chen}, J. Algebr. Geom. 18, No. 3, 575--603 (2009; Zbl 1170.14013) Full Text: DOI arXiv OpenURL
Hayashi, Tsukasa Computation of Weng’s rank 2 zeta function over an algebraic number field. (English) Zbl 1135.11061 J. Number Theory 125, No. 2, 473-527 (2007). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11M41 PDF BibTeX XML Cite \textit{T. Hayashi}, J. Number Theory 125, No. 2, 473--527 (2007; Zbl 1135.11061) Full Text: DOI OpenURL
Lagarias, Jeffrey C.; Suzuki, Masatoshi The Riemann hypothesis for certain integrals of Eisenstein series. (English) Zbl 1208.11106 J. Number Theory 118, No. 1, 98-122 (2006). MSC: 11M36 11M26 11F37 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{M. Suzuki}, J. Number Theory 118, No. 1, 98--122 (2006; Zbl 1208.11106) Full Text: DOI arXiv OpenURL
Borek, Thomas Successive minima and slopes of hermitian vector bundles over number fields. (English) Zbl 1100.14513 J. Number Theory 113, No. 2, 380-388 (2005). MSC: 14G40 14G25 14F05 PDF BibTeX XML Cite \textit{T. Borek}, J. Number Theory 113, No. 2, 380--388 (2005; Zbl 1100.14513) Full Text: DOI OpenURL
Viada, Evelina Slopes and abelian subvariety theorem. (English) Zbl 1080.11048 J. Number Theory 112, No. 1, 67-115 (2005). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 11G10 14K15 PDF BibTeX XML Cite \textit{E. Viada}, J. Number Theory 112, No. 1, 67--115 (2005; Zbl 1080.11048) Full Text: DOI OpenURL
Fulton, William Eigenvalues, invariant factors, highest weights, and Schubert calculus. (English) Zbl 0994.15021 Bull. Am. Math. Soc., New Ser. 37, No. 3, 209-249 (2000). MSC: 15A42 14M15 05E15 13F10 14C17 15A18 47B07 22E46 PDF BibTeX XML Cite \textit{W. Fulton}, Bull. Am. Math. Soc., New Ser. 37, No. 3, 209--249 (2000; Zbl 0994.15021) Full Text: DOI arXiv OpenURL
Ash, Avner; McConnell, Mark Cohomology at infinity and the well-rounded retract for general linear groups. (English) Zbl 0903.11016 Duke Math. J. 90, No. 3, 549-576 (1997). Reviewer: Joachim Schwermer (Düsseldorf) MSC: 11F75 22E41 57T15 PDF BibTeX XML Cite \textit{A. Ash} and \textit{M. McConnell}, Duke Math. J. 90, No. 3, 549--576 (1997; Zbl 0903.11016) Full Text: DOI arXiv OpenURL
Soulé, C. Successive minima on arithmetic varieties. (English) Zbl 0871.14019 Compos. Math. 96, No. 1, 85-98 (1995). Reviewer: J.Top (Groningen) MSC: 14G40 PDF BibTeX XML Cite \textit{C. Soulé}, Compos. Math. 96, No. 1, 85--98 (1995; Zbl 0871.14019) Full Text: Numdam EuDML OpenURL
Bost, Jean-Benoît Semi-stability and heights of cycles. (English) Zbl 0873.14028 Invent. Math. 118, No. 2, 223-253 (1994). MSC: 14G40 14C25 14D20 14G25 PDF BibTeX XML Cite \textit{J.-B. Bost}, Invent. Math. 118, No. 2, 223--253 (1994; Zbl 0873.14028) Full Text: DOI EuDML OpenURL
Bost, J.-B.; Gillet, H.; Soulé, C. Heights of projective varieties and positive Green forms. (English) Zbl 0973.14013 J. Am. Math. Soc. 7, No. 4, 903-1027 (1994). MSC: 14G40 14C17 11G50 14G25 PDF BibTeX XML Cite \textit{J. B. Bost} et al., J. Am. Math. Soc. 7, No. 4, 903--1027 (1994; Zbl 0973.14013) Full Text: DOI OpenURL
Moriwaki, Atsushi Inequality of Bogomolov-Gieseker type on arithmetic surfaces. (English) Zbl 0854.14012 Duke Math. J. 74, No. 3, 713-761 (1994). Reviewer: Sun Xiao Tao (MR 95i:14025) MSC: 14G40 14F45 57R20 PDF BibTeX XML Cite \textit{A. Moriwaki}, Duke Math. J. 74, No. 3, 713--761 (1994; Zbl 0854.14012) Full Text: DOI arXiv OpenURL
Kim, Minhyong Numerically positive line bundles on an Arakelov variety. (English) Zbl 0787.14013 Duke Math. J. 61, No. 3, 805-822 (1990). MSC: 14G40 14C20 14F05 PDF BibTeX XML Cite \textit{M. Kim}, Duke Math. J. 61, No. 3, 805--822 (1990; Zbl 0787.14013) Full Text: DOI OpenURL