Arredondo, Carolina Rivera Height pairings of 1-motives. (English) Zbl 1522.14034 Rend. Semin. Mat. Univ. Padova 149, 151-181 (2023). Reviewer: Mounir Hajli (Shanghai) MSC: 14G40 14F40 14K15 14H25 PDFBibTeX XMLCite \textit{C. R. Arredondo}, Rend. Semin. Mat. Univ. Padova 149, 151--181 (2023; Zbl 1522.14034) Full Text: DOI arXiv
Huber, Annette; Wüstholz, Gisbert Transcendence and linear relations of 1-periods. (English) Zbl 1502.14002 Cambridge Tracts in Mathematics 227. Cambridge: Cambridge University Press (ISBN 978-1-316-51993-6/hbk; 978-1-00-901972-9/ebook). xx, 243 p. (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 14-02 11-02 11Gxx 14F40 14F42 14C30 PDFBibTeX XMLCite \textit{A. Huber} and \textit{G. Wüstholz}, Transcendence and linear relations of 1-periods. Cambridge: Cambridge University Press (2022; Zbl 1502.14002) Full Text: DOI arXiv
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 1486.11111 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835-852 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11G20 11G25 11G45 14F30 PDFBibTeX XMLCite \textit{C. Greither} and \textit{C. Popescu}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835--852 (2022; Zbl 1486.11111) Full Text: DOI
Ivorra, Florian; Yamazaki, Takao Mixed Hodge structures with modulus. (English) Zbl 1502.14022 J. Inst. Math. Jussieu 21, No. 1, 161-195 (2022). Reviewer: Mohammad Reza Rahmati (León) MSC: 14C30 14F42 58A14 PDFBibTeX XMLCite \textit{F. Ivorra} and \textit{T. Yamazaki}, J. Inst. Math. Jussieu 21, No. 1, 161--195 (2022; Zbl 1502.14022) Full Text: DOI arXiv
Mazzari, Nicola On log differentials of local fields. (English) Zbl 1465.14026 Rend. Semin. Mat. Univ. Padova 145, 207-212 (2021). MSC: 14G20 14L05 14F30 11S20 PDFBibTeX XMLCite \textit{N. Mazzari}, Rend. Semin. Mat. Univ. Padova 145, 207--212 (2021; Zbl 1465.14026) Full Text: DOI arXiv
Bertolin, Cristiana; Galluzzi, Federica Brauer groups of 1-motives. (English) Zbl 1475.14042 J. Pure Appl. Algebra 225, No. 11, Article ID 106754, 22 p. (2021). MSC: 14F22 16H05 16K50 PDFBibTeX XMLCite \textit{C. Bertolin} and \textit{F. Galluzzi}, J. Pure Appl. Algebra 225, No. 11, Article ID 106754, 22 p. (2021; Zbl 1475.14042) Full Text: DOI arXiv Link
Lecouturier, Emmanuel Mixed modular symbols and the generalized cuspidal 1-motive. (English) Zbl 1473.11102 Trans. Am. Math. Soc. 374, No. 4, 2823-2872 (2021). MSC: 11F67 14G35 PDFBibTeX XMLCite \textit{E. Lecouturier}, Trans. Am. Math. Soc. 374, No. 4, 2823--2872 (2021; Zbl 1473.11102) Full Text: DOI arXiv Backlinks: MO
Bertolin, Cristiana Third kind elliptic integrals and 1-motives. (English) Zbl 1450.11077 J. Pure Appl. Algebra 224, No. 10, Article ID 106396, 27 p. (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J81 11J95 11G99 PDFBibTeX XMLCite \textit{C. Bertolin}, J. Pure Appl. Algebra 224, No. 10, Article ID 106396, 27 p. (2020; Zbl 1450.11077) Full Text: DOI arXiv Link
Mazzari, Nicola The Fontaine-Ogus realization of Laumon 1-motives. (English) Zbl 1441.14075 Commun. Algebra 48, No. 1, 299-306 (2020). MSC: 14F30 14L15 14F40 PDFBibTeX XMLCite \textit{N. Mazzari}, Commun. Algebra 48, No. 1, 299--306 (2020; Zbl 1441.14075) Full Text: DOI arXiv
Suzuki, Takashi Néron models of 1-motives and duality. (English) Zbl 1440.14027 Kodai Math. J. 42, No. 3, 431-475 (2019). MSC: 14C15 14F20 11G10 PDFBibTeX XMLCite \textit{T. Suzuki}, Kodai Math. J. 42, No. 3, 431--475 (2019; Zbl 1440.14027) Full Text: DOI arXiv Euclid
Lehalleur, Simon Pepin Constructible \(1\)-motives and exactness of realisation functors. (English) Zbl 1440.14024 Doc. Math. 24, 1721-1737 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 19E15 PDFBibTeX XMLCite \textit{S. P. Lehalleur}, Doc. Math. 24, 1721--1737 (2019; Zbl 1440.14024) Full Text: DOI
Lehalleur, Simon Pepin Triangulated categories of relative 1-motives. (English) Zbl 1422.18012 Adv. Math. 347, 473-596 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 18E30 14F05 PDFBibTeX XMLCite \textit{S. P. Lehalleur}, Adv. Math. 347, 473--596 (2019; Zbl 1422.18012) Full Text: DOI arXiv
Greither, Cornelius; Popescu, Cristian D. Abstract \(\ell\)-adic 1-motives and Tate’s canonical class for number fields. (English) Zbl 1405.11144 Doc. Math. 23, 839-870 (2018). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R34 11R37 11R42 PDFBibTeX XMLCite \textit{C. Greither} and \textit{C. D. Popescu}, Doc. Math. 23, 839--870 (2018; Zbl 1405.11144) Full Text: DOI arXiv
Barbieri-Viale, Luca; Kahn, Bruno On the derived category of 1-motives. (English) Zbl 1356.19001 Astérisque 381. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-837-4/pbk). xi, 254 p. (2016). Reviewer: Piotr Krasoń (Szczecin) MSC: 19E15 14C15 14F20 14C30 18E30 PDFBibTeX XMLCite \textit{L. Barbieri-Viale} and \textit{B. Kahn}, On the derived category of 1-motives. Paris: Société Mathématique de France (SMF) (2016; Zbl 1356.19001)
Greither, Cornelius; Popescu, Cristian D. An equivariant main conjecture in Iwasawa theory and applications. (English) Zbl 1330.11070 J. Algebr. Geom. 24, No. 4, 629-692 (2015). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R33 PDFBibTeX XMLCite \textit{C. Greither} and \textit{C. D. Popescu}, J. Algebr. Geom. 24, No. 4, 629--692 (2015; Zbl 1330.11070) Full Text: DOI arXiv
Greither, Cornelius Families of curves with Galois action and their \(L\)-functions. (English) Zbl 1326.11051 J. Number Theory 154, 292-323 (2015). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 11M38 11G20 11G25 11G45 14F30 11G40 PDFBibTeX XMLCite \textit{C. Greither}, J. Number Theory 154, 292--323 (2015; Zbl 1326.11051) Full Text: DOI
Bertapelle, A. Generalized 1-motivic sheaves. (English) Zbl 1376.14007 J. Algebra 420, 261-268 (2014). MSC: 14C15 18E30 14F42 14L15 PDFBibTeX XMLCite \textit{A. Bertapelle}, J. Algebra 420, 261--268 (2014; Zbl 1376.14007) Full Text: DOI arXiv
Jossen, Peter On the second Tate-Shafarevich group of a \(1\)-motive. (English) Zbl 1326.14104 Algebra Number Theory 7, No. 10, 2511-2544 (2013). MSC: 14K15 14G25 14G20 PDFBibTeX XMLCite \textit{P. Jossen}, Algebra Number Theory 7, No. 10, 2511--2544 (2013; Zbl 1326.14104) Full Text: DOI arXiv
Bertapelle, Alessandra Remarks on 1-motivic sheaves. (English) Zbl 1317.14011 J. \(K\)-Theory 12, No. 2, 363-380 (2013). Reviewer: Charles Vial (Cambridge) MSC: 14C15 14L15 PDFBibTeX XMLCite \textit{A. Bertapelle}, J. \(K\)-Theory 12, No. 2, 363--380 (2013; Zbl 1317.14011) Full Text: DOI arXiv
Dodge, Joel; Popescu, Cristian D. The refined Coates-Sinnott conjecture for characteristic \(p\) global fields. (English) Zbl 1283.11126 J. Number Theory 133, No. 6, 2047-2065 (2013). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11M38 11G20 11G25 11R23 PDFBibTeX XMLCite \textit{J. Dodge} and \textit{C. D. Popescu}, J. Number Theory 133, No. 6, 2047--2065 (2013; Zbl 1283.11126) Full Text: DOI arXiv
Bertolin, Cristiana Homological interpretation of extensions and biextensions of 1-motives. (English) Zbl 1253.14004 J. Number Theory 132, No. 10, 2103-2131 (2012). Reviewer: Ana Rita Martins (Lisbon) MSC: 14C15 14L15 PDFBibTeX XMLCite \textit{C. Bertolin}, J. Number Theory 132, No. 10, 2103--2131 (2012; Zbl 1253.14004) Full Text: DOI arXiv
Greither, Cornelius; Popescu, Cristian D. The Galois module structure of \(\ell \)-adic realizations of Picard 1-motives and applications. (English) Zbl 1254.11063 Int. Math. Res. Not. 2012, No. 5, 986-1036 (2012). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R33 11G20 11G25 11G45 11M38 14F30 PDFBibTeX XMLCite \textit{C. Greither} and \textit{C. D. Popescu}, Int. Math. Res. Not. 2012, No. 5, 986--1036 (2012; Zbl 1254.11063) Full Text: DOI arXiv
Polishchuk, Alexander Kernel algebras and generalized Fourier-Mukai transforms. (English) Zbl 1214.14015 J. Noncommut. Geom. 5, No. 2, 153-251 (2011). Reviewer: Pawel Sosna (Milano) MSC: 14F05 14A22 18E30 14K05 PDFBibTeX XMLCite \textit{A. Polishchuk}, J. Noncommut. Geom. 5, No. 2, 153--251 (2011; Zbl 1214.14015) Full Text: DOI arXiv
Mazzari, Nicola Cohomologial dimension of Laumon 1-motives up to isogenies. (English. French summary) Zbl 1230.14011 J. Théor. Nombres Bordx. 22, No. 3, 719-726 (2010). Reviewer: Cristiana Bertolin (Padova) MSC: 14C99 14L15 PDFBibTeX XMLCite \textit{N. Mazzari}, J. Théor. Nombres Bordx. 22, No. 3, 719--726 (2010; Zbl 1230.14011) Full Text: DOI arXiv Numdam EuDML
González-Avilés, Cristian D.; Tan, Ki-Seng The generalized Cassels-Tate dual exact sequence for 1-motives. (English) Zbl 1215.11064 Math. Res. Lett. 16, No. 5-6, 827-839 (2009). Reviewer: Martin Bright (Warwick) MSC: 11G35 11G05 11G10 14L15 14G25 14K15 PDFBibTeX XMLCite \textit{C. D. González-Avilés} and \textit{K.-S. Tan}, Math. Res. Lett. 16, No. 5--6, 827--839 (2009; Zbl 1215.11064) Full Text: DOI arXiv
Bertapelle, Alessandra Deligne’s duality for de Rham realizations of 1-motives. (English) Zbl 1182.14010 Math. Nachr. 282, No. 12, 1637-1655 (2009). Reviewer: Cristiana Bertolin (Padova) MSC: 14F40 14L15 PDFBibTeX XMLCite \textit{A. Bertapelle}, Math. Nachr. 282, No. 12, 1637--1655 (2009; Zbl 1182.14010) Full Text: DOI arXiv
Lekaus, Silke On Albanese and Picard 1-motives with \({\mathbb{G}_a}\)-factors. (English) Zbl 1180.14006 Manuscr. Math. 130, No. 4, 495-522 (2009). Reviewer: Cristiana Bertolin (Padova) MSC: 14C30 14F42 14K30 PDFBibTeX XMLCite \textit{S. Lekaus}, Manuscr. Math. 130, No. 4, 495--522 (2009; Zbl 1180.14006) Full Text: DOI
Lichtenbaum, Stephen Euler characteristics and special values of zeta-functions. (English) Zbl 1245.14023 de Jeu, Rob (ed.) et al., Motives and algebraic cycles. A celebration in honour of Spencer J. Bloch. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences. (ISBN 978-0-8218-4494-6/hbk). Fields Institute Communications 56, 249-255 (2009). MSC: 14G10 14F20 PDFBibTeX XMLCite \textit{S. Lichtenbaum}, Fields Inst. Commun. 56, 249--255 (2009; Zbl 1245.14023)
Harari, David; Szamuely, Tamás Corrigendum: Arithmetic duality theorems for 1-motives. (English) Zbl 1172.14029 J. Reine Angew. Math. 632, 233-236 (2009). Reviewer: Cristiana Bertolin (Padova) MSC: 14L15 11G09 12G05 PDFBibTeX XMLCite \textit{D. Harari} and \textit{T. Szamuely}, J. Reine Angew. Math. 632, 233--236 (2009; Zbl 1172.14029) Full Text: DOI
González-Avilés, Cristian D. Arithmetic duality theorems for 1-motives over function fields. (English) Zbl 1172.14028 J. Reine Angew. Math. 632, 203-231 (2009); corrigendum ibid. 632, 233-236 (2009). Reviewer: Cristiana Bertolin (Padova) MSC: 14L15 11G09 12G05 PDFBibTeX XMLCite \textit{C. D. González-Avilés}, J. Reine Angew. Math. 632, 203--231 (2009; Zbl 1172.14028) Full Text: DOI arXiv
Russell, Henrik Generalized Albanese and its dual. (English) Zbl 1170.14005 J. Math. Kyoto Univ. 48, No. 4, Article ID 10, p. 907-949 (2008). Reviewer: Cristiana Bertolin (Padova) MSC: 14C15 14C25 14K30 14C05 PDFBibTeX XMLCite \textit{H. Russell}, J. Math. Kyoto Univ. 48, No. 4, Article ID 10, p. 907--949 (2008; Zbl 1170.14005) Full Text: DOI arXiv
Harari, David; Szamuely, Tamás Arithmetic duality theorems for 1-motives. (English) Zbl 1088.14012 J. Reine Angew. Math. 578, 93-128 (2005); corrigendum ibid. 632, 233-236 (2009). Reviewer: Noriko Yui (Kingston) MSC: 14L15 11G09 12G05 14G20 PDFBibTeX XMLCite \textit{D. Harari} and \textit{T. Szamuely}, J. Reine Angew. Math. 578, 93--128 (2005; Zbl 1088.14012) Full Text: DOI arXiv
Bertolin, Cristiana Periods of 1-motives and transcendence. (Périodes de 1-motifs et transcendance.) (French) Zbl 1067.11041 J. Number Theory 97, No. 2, 204-221 (2002). Reviewer: Michel Waldschmidt (Paris) MSC: 11J95 11G05 11J81 PDFBibTeX XMLCite \textit{C. Bertolin}, J. Number Theory 97, No. 2, 204--221 (2002; Zbl 1067.11041) Full Text: DOI
Barbieri-Viale, Luca On algebraic 1-motives related to Hodge cycles. (English) Zbl 1060.14012 Beltrametti, Mauro C. (ed.) et al., Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter (ISBN 3-11-017180-5/hbk). 25-60 (2002). Reviewer: Claudio Pedrini (Genova) MSC: 14C30 14F42 32S35 19E15 14C25 PDFBibTeX XMLCite \textit{L. Barbieri-Viale}, in: Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter. 25--60 (2002; Zbl 1060.14012) Full Text: arXiv
Bertolin, Cristiana The Mumford-Tate group of 1-motives. (English) Zbl 1001.14017 Ann. Inst. Fourier 52, No. 4, 1041-1059 (2002). MSC: 14L17 11G09 11G99 PDFBibTeX XMLCite \textit{C. Bertolin}, Ann. Inst. Fourier 52, No. 4, 1041--1059 (2002; Zbl 1001.14017) Full Text: DOI Numdam Numdam EuDML
Barbieri Viale, Luca; Srinivas, Vasudevan Albanese and Picard 1-motives. (English. Abridged French version) Zbl 0930.14012 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 12, 1397-1401 (1998). Reviewer: Roy Joshua (Bonn) MSC: 14F42 14C22 PDFBibTeX XMLCite \textit{L. Barbieri Viale} and \textit{V. Srinivas}, C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 12, 1397--1401 (1998; Zbl 0930.14012) Full Text: DOI arXiv
Lang, Serge Survey of diophantine geometry. Transl. from the Russian. Corr. 2nd printing. (English) Zbl 0869.11051 Berlin: Springer. xi, 298 p. (1997). MSC: 11Gxx 11-02 14Gxx 14-02 11G05 11G10 11G40 11Dxx 14G05 14G40 14H52 14G25 14G10 14K15 11J82 PDFBibTeX XMLCite \textit{S. Lang}, Survey of diophantine geometry. Transl. from the Russian. Corr. 2nd printing. Berlin: Springer (1997; Zbl 0869.11051)
Deligne, Pierre Of what use are motives? (À quoi servent les motifs?) (French) Zbl 0811.14001 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 143-161 (1994). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14A20 14C25 14C35 18D10 14C30 14D07 PDFBibTeX XMLCite \textit{P. Deligne}, Proc. Symp. Pure Math. 55, 143--161 (1994; Zbl 0811.14001)
Lichtenbaum, Stephen Suslin homology and Deligne 1-motives. (English) Zbl 0902.14004 Goerss, P. G. (ed.) et al., Algebraic \(K\)-theory and algebraic topology. Proceedings of the NATO Advanced Study Institute, Lake Louise, Alberta, Canada, December 12–16, 1991. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 407, 189-196 (1993). Reviewer: L.N.Vaserstein (University Park) MSC: 14A20 14F45 PDFBibTeX XMLCite \textit{S. Lichtenbaum}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 407, 189--196 (1993; Zbl 0902.14004)
Lang, Serge Gamkrelidze, R. V. (ed.) Number theory III: Diophantine geometry. (English) Zbl 0744.14012 Encyclopaedia of Mathematical Sciences. 60. Berlin etc.: Springer-Verlag. xi, 296 p. (1991). Reviewer: D.Bertrand (Paris) MSC: 14Gxx 14-02 11-02 14G40 14G05 11Gxx 11G40 11G10 11G05 11J82 11Dxx 14H52 14G25 14G10 14K15 PDFBibTeX XMLCite \textit{S. Lang} and \textit{R. V. Gamkrelidze} (ed.), Number theory III: Diophantine geometry. Berlin etc.: Springer-Verlag (1991; Zbl 0744.14012)
Bertrand, Daniel Transcendental methods in arithmetic geometry. (English) Zbl 0706.11039 Analytic number theory, Proc. Jap.-Fr. Symp., Tokyo/Jap. 1988, Lect. Notes Math. 1434, 31-44 (1990). Reviewer: P.Philippon MSC: 11J86 14K15 14G05 PDFBibTeX XML
Ribet, Kenneth A. Cohomological realization of a family of 1-motives. (English) Zbl 0666.14001 J. Number Theory 25, 152-161 (1987). Reviewer: Hans Joachim Nastold (Münster) MSC: 14A20 14K05 11R32 PDFBibTeX XMLCite \textit{K. A. Ribet}, J. Number Theory 25, 152--161 (1987; Zbl 0666.14001) Full Text: DOI