Zarhin, Yuri G. Tate classes on self-products of abelian varieties over finite fields. (Classes de Tate dans les puissances des variétés abéliennes sur les corps finis.) (English. French summary) Zbl 07608216 Ann. Inst. Fourier 72, No. 6, 2339-2383 (2022). MSC: 11G10 11G25 14G15 PDF BibTeX XML Cite \textit{Y. G. Zarhin}, Ann. Inst. Fourier 72, No. 6, 2339--2383 (2022; Zbl 07608216) Full Text: DOI arXiv OpenURL
Fuselier, Jenny; Long, Ling; Ramakrishna, Ravi Kumar; Swisher, Holly; Tu, Fang-Ting Hypergeometric functions over finite fields. (English) Zbl 07607169 Memoirs of the American Mathematical Society 1382. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5433-3/pbk; 978-1-4704-7282-5/ebook). vii, 124 p. (2022). MSC: 11-02 11T23 11T24 33C05 33C20 11F80 11S40 PDF BibTeX XML Cite \textit{J. Fuselier} et al., Hypergeometric functions over finite fields. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07607169) Full Text: DOI OpenURL
Mayle, Jacob A bound for the image conductor of a principally polarized abelian variety with open Galois image. (English) Zbl 07535613 Proc. Am. Math. Soc., Ser. B 9, 272-285 (2022). MSC: 11G10 PDF BibTeX XML Cite \textit{J. Mayle}, Proc. Am. Math. Soc., Ser. B 9, 272--285 (2022; Zbl 07535613) Full Text: DOI arXiv OpenURL
Fité, Francesc; Guitart, Xavier Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of \(\mathrm{GL}_2\)-type. (English) Zbl 1498.11148 Math. Z. 300, No. 3, 2975-2995 (2022). Reviewer: Asvin G (Madison) MSC: 11G10 14K15 PDF BibTeX XML Cite \textit{F. Fité} and \textit{X. Guitart}, Math. Z. 300, No. 3, 2975--2995 (2022; Zbl 1498.11148) Full Text: DOI arXiv OpenURL
Freitas, Nuno; Kraus, Alain; Siksek, Samir On asymptotic Fermat over the \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}\). (Le théorème de Fermat asymptotique sur la \(\mathbb{Z}_2\)-extension de \(\mathbb{Q}\).) (English. French summary) Zbl 07472233 Ann. Math. Blaise Pascal 28, No. 1, 1-6 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F80 11G05 PDF BibTeX XML Cite \textit{N. Freitas} et al., Ann. Math. Blaise Pascal 28, No. 1, 1--6 (2022; Zbl 07472233) Full Text: DOI arXiv OpenURL
Garnek, Jędrzej On class numbers of division fields of abelian varieties. (English. French summary) Zbl 1471.11274 J. Théor. Nombres Bordx. 31, No. 1, 227-242 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R29 11G10 PDF BibTeX XML Cite \textit{J. Garnek}, J. Théor. Nombres Bordx. 31, No. 1, 227--242 (2019; Zbl 1471.11274) Full Text: DOI OpenURL
Bastianelli, Francesco; Kouvidakis, Alexis; Lopez, Angelo Felice; Viviani, Filippo Effective cycles on the symmetric product of a curve. I: The diagonal cone. (English) Zbl 1439.14036 Trans. Am. Math. Soc. 372, No. 12, 8709-8758 (2019). Reviewer: Dawei Chen (Chestnut Hill) MSC: 14C25 14H51 14C20 PDF BibTeX XML Cite \textit{F. Bastianelli} et al., Trans. Am. Math. Soc. 372, No. 12, 8709--8758 (2019; Zbl 1439.14036) Full Text: DOI arXiv OpenURL
Baldi, Gregorio Local to global principle for the moduli space of K3 surfaces. (English) Zbl 1470.11180 Arch. Math. 112, No. 6, 599-613 (2019). MSC: 11G35 14G35 11F80 PDF BibTeX XML Cite \textit{G. Baldi}, Arch. Math. 112, No. 6, 599--613 (2019; Zbl 1470.11180) Full Text: DOI arXiv OpenURL
Camporino, Maximiliano; Pacetti, Ariel Congruences between modular forms modulo prime powers. (English) Zbl 1446.11075 Rev. Mat. Iberoam. 34, No. 4, 1609-1643 (2018). MSC: 11F33 11F80 PDF BibTeX XML Cite \textit{M. Camporino} and \textit{A. Pacetti}, Rev. Mat. Iberoam. 34, No. 4, 1609--1643 (2018; Zbl 1446.11075) Full Text: DOI arXiv Link OpenURL
Richard, Rodolphe Galois ultrametric distribution of an isogeny class of elliptic curves: the case of bad reduction. An application to local heights. (Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques: le cas de la mauvaise réduction. Application aux hauteurs locales.) (French. English summary) Zbl 1450.11054 J. Théor. Nombres Bordx. 30, No. 1, 1-18 (2018). MSC: 11G05 37P50 11S40 14G40 11F32 PDF BibTeX XML Cite \textit{R. Richard}, J. Théor. Nombres Bordx. 30, No. 1, 1--18 (2018; Zbl 1450.11054) Full Text: DOI OpenURL
Funar, Louis; Lochak, Pierre Profinite completions of Burnside-type quotients of surface groups. (English) Zbl 1404.20021 Commun. Math. Phys. 360, No. 3, 1061-1082 (2018). Reviewer: Bruno Zimmermann (Trieste) MSC: 20E18 20F38 20F65 57M07 PDF BibTeX XML Cite \textit{L. Funar} and \textit{P. Lochak}, Commun. Math. Phys. 360, No. 3, 1061--1082 (2018; Zbl 1404.20021) Full Text: DOI arXiv OpenURL
Zarhin, Yu. G. Endomorphism rings of reductions of elliptic curves and abelian varieties. (English) Zbl 1411.11051 St. Petersbg. Math. J. 29, No. 1, 81-106 (2018) and Algebra Anal. 29, No. 1, 110-144 (2017). MSC: 11G10 14G25 PDF BibTeX XML Cite \textit{Yu. G. Zarhin}, St. Petersbg. Math. J. 29, No. 1, 81--106 (2018; Zbl 1411.11051) Full Text: DOI arXiv OpenURL
Perret-Gentil, Corentin Gaussian distribution of short sums of trace functions over finite fields. (English) Zbl 1405.11102 Math. Proc. Camb. Philos. Soc. 163, No. 3, 385-422 (2017). MSC: 11L26 60F05 11L40 11T23 11T24 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Math. Proc. Camb. Philos. Soc. 163, No. 3, 385--422 (2017; Zbl 1405.11102) Full Text: DOI arXiv OpenURL
Lombardo, Davide Pink-type results for general subgroups of \(\mathrm{SL}_2(\mathbb{Z}_\ell)^n\). (English. French summary) Zbl 1431.20026 J. Théor. Nombres Bordx. 29, No. 1, 85-127 (2017). MSC: 20F40 11E57 11E95 20G25 11F80 PDF BibTeX XML Cite \textit{D. Lombardo}, J. Théor. Nombres Bordx. 29, No. 1, 85--127 (2017; Zbl 1431.20026) Full Text: DOI arXiv OpenURL
Zarhin, Yuri G. Almost isomorphic abelian varieties. (English) Zbl 1416.11092 Eur. J. Math. 3, No. 1, 22-33 (2017). MSC: 11G10 14K02 14K15 PDF BibTeX XML Cite \textit{Y. G. Zarhin}, Eur. J. Math. 3, No. 1, 22--33 (2017; Zbl 1416.11092) Full Text: DOI Link OpenURL
Zarhin, Yuri G. Two-dimensional families of hyperelliptic Jacobians with big monodromy. (English) Zbl 1343.14025 Trans. Am. Math. Soc. 368, No. 5, 3651-3672 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 14H40 14K05 11G30 11G10 PDF BibTeX XML Cite \textit{Y. G. Zarhin}, Trans. Am. Math. Soc. 368, No. 5, 3651--3672 (2016; Zbl 1343.14025) Full Text: DOI arXiv Link OpenURL
Liu, Tong; Yu, Jiu-Kang On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type. (English) Zbl 1375.11051 J. Number Theory 161, 49-74 (2016). MSC: 11F80 14F30 14L05 PDF BibTeX XML Cite \textit{T. Liu} and \textit{J.-K. Yu}, J. Number Theory 161, 49--74 (2016; Zbl 1375.11051) Full Text: DOI OpenURL
Dokchitser, Tim; Dokchitser, Vladimir Local invariants of isogenous elliptic curves. (English) Zbl 1395.11094 Trans. Am. Math. Soc. 367, No. 6, 4339-4358 (2015). MSC: 11G07 11G05 11G40 PDF BibTeX XML Cite \textit{T. Dokchitser} and \textit{V. Dokchitser}, Trans. Am. Math. Soc. 367, No. 6, 4339--4358 (2015; Zbl 1395.11094) Full Text: DOI arXiv OpenURL
Grbac, Neven; Grobner, Harald The residual Eisenstein cohomology of \(\mathrm{Sp}_4\) over a totally real number field. (English) Zbl 1298.11049 Trans. Am. Math. Soc. 365, No. 10, 5199-5235 (2013). Reviewer: Jean Raimbault (Toulouse) MSC: 11F75 11F55 PDF BibTeX XML Cite \textit{N. Grbac} and \textit{H. Grobner}, Trans. Am. Math. Soc. 365, No. 10, 5199--5235 (2013; Zbl 1298.11049) Full Text: DOI OpenURL
Fuchs, Elena Counting problems in Apollonian packings. (English) Zbl 1309.11058 Bull. Am. Math. Soc., New Ser. 50, No. 2, 229-266 (2013). MSC: 11H55 11H31 52C26 PDF BibTeX XML Cite \textit{E. Fuchs}, Bull. Am. Math. Soc., New Ser. 50, No. 2, 229--266 (2013; Zbl 1309.11058) Full Text: DOI OpenURL
Zarhin, Yuri G. Homomorphisms of abelian varieties over geometric fields of finite characteristic. (English) Zbl 1298.11055 J. Inst. Math. Jussieu 12, No. 2, 225-236 (2013). Reviewer: Remke Kloosterman (Berlin) MSC: 11G10 14K15 14K02 PDF BibTeX XML Cite \textit{Y. G. Zarhin}, J. Inst. Math. Jussieu 12, No. 2, 225--236 (2013; Zbl 1298.11055) Full Text: DOI arXiv OpenURL
Fité, Francesc Artin representations attached to pairs of isogenous abelian varieties. (English) Zbl 1275.11100 J. Number Theory 133, No. 4, 1331-1345 (2013). MSC: 11G10 PDF BibTeX XML Cite \textit{F. Fité}, J. Number Theory 133, No. 4, 1331--1345 (2013; Zbl 1275.11100) Full Text: DOI arXiv OpenURL
Dokchitser, Tim; Dokchitser, Vladimir Surjectivity of mod \(2^n\) representations of elliptic curves. (English) Zbl 1315.11046 Math. Z. 272, No. 3-4, 961-964 (2012). Reviewer: Imin Chen (Burnaby) MSC: 11G05 11F80 14G25 PDF BibTeX XML Cite \textit{T. Dokchitser} and \textit{V. Dokchitser}, Math. Z. 272, No. 3--4, 961--964 (2012; Zbl 1315.11046) Full Text: DOI arXiv OpenURL
Coates, John; Kim, Minhyong Selmer varieties for curves with CM Jacobians. (English) Zbl 1283.11092 Kyoto J. Math. 50, No. 4, 827-852 (2010). MSC: 11G15 11G30 11R23 PDF BibTeX XML Cite \textit{J. Coates} and \textit{M. Kim}, Kyoto J. Math. 50, No. 4, 827--852 (2010; Zbl 1283.11092) Full Text: DOI arXiv OpenURL
Bogomolov, Fedor A.; Zarhin, Yuri G. Ordinary reduction of K3 surfaces. (English) Zbl 1178.14039 Cent. Eur. J. Math. 7, No. 2, 206-213 (2009). Reviewer: Remke Kloosterman (Berlin) MSC: 14J28 14G25 11G35 PDF BibTeX XML Cite \textit{F. A. Bogomolov} and \textit{Y. G. Zarhin}, Cent. Eur. J. Math. 7, No. 2, 206--213 (2009; Zbl 1178.14039) Full Text: DOI arXiv OpenURL
Dokchitser, Tim; Dokchitser, Vladimir Regulator constants and the parity conjecture. (English) Zbl 1219.11083 Invent. Math. 178, No. 1, 23-71 (2009). MSC: 11G05 11G07 11G10 11G40 19A22 20B99 PDF BibTeX XML Cite \textit{T. Dokchitser} and \textit{V. Dokchitser}, Invent. Math. 178, No. 1, 23--71 (2009; Zbl 1219.11083) Full Text: DOI arXiv OpenURL
Arias-de-Reyna, Sara; Vila, Núria Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). (English) Zbl 1193.11106 J. Number Theory 129, No. 5, 1056-1065 (2009). Reviewer: Bernat Plans (Barcelona) MSC: 11R32 11F80 11G05 PDF BibTeX XML Cite \textit{S. Arias-de-Reyna} and \textit{N. Vila}, J. Number Theory 129, No. 5, 1056--1065 (2009; Zbl 1193.11106) Full Text: DOI OpenURL
Hall, Chris Big symplectic or orthogonal monodromy modulo \(\ell\). (English) Zbl 1205.11062 Duke Math. J. 141, No. 1, 179-203 (2008). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11G05 11G10 12F12 14D05 14H40 14J27 14K15 PDF BibTeX XML Cite \textit{C. Hall}, Duke Math. J. 141, No. 1, 179--203 (2008; Zbl 1205.11062) Full Text: DOI arXiv OpenURL
Ghate, Eknath; Vatsal, Vinayak On the local behaviour of ordinary \(\Lambda\)-adic representations. (English) Zbl 1131.11341 Ann. Inst. Fourier 54, No. 7, 2143-2162 (2004). MSC: 11F80 11F33 11R23 PDF BibTeX XML Cite \textit{E. Ghate} and \textit{V. Vatsal}, Ann. Inst. Fourier 54, No. 7, 2143--2162 (2004; Zbl 1131.11341) Full Text: DOI Numdam EuDML OpenURL
Zarhin, Yuri G. The Tate conjecture for powers of ordinary cubic fourfolds over finite fields. (English) Zbl 1056.14031 J. Number Theory 108, No. 1, 44-59 (2004). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14G15 14J17 PDF BibTeX XML Cite \textit{Y. G. Zarhin}, J. Number Theory 108, No. 1, 44--59 (2004; Zbl 1056.14031) Full Text: DOI arXiv OpenURL
Ramachandran, Niranjan One-motives and a conjecture of Deligne. (English) Zbl 1058.14034 J. Algebr. Geom. 13, No. 1, 29-80 (2004). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14F42 14C30 11G09 14F20 14F40 PDF BibTeX XML Cite \textit{N. Ramachandran}, J. Algebr. Geom. 13, No. 1, 29--80 (2004; Zbl 1058.14034) Full Text: DOI arXiv OpenURL
Chavdarov, Nick The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy. (English) Zbl 0941.14006 Duke Math. J. 87, No. 1, 151-180 (1997). Reviewer: J. Vernon Armitage (Durham) MSC: 14G10 14G15 11G40 PDF BibTeX XML Cite \textit{N. Chavdarov}, Duke Math. J. 87, No. 1, 151--180 (1997; Zbl 0941.14006) Full Text: DOI OpenURL
Silverberg, A.; Zarhin, Yu. G. Variations on a theme of Minkowski and Serre. (English) Zbl 0885.14006 J. Pure Appl. Algebra 111, No. 1-3, 285-302 (1996). MSC: 14H37 14K99 11G10 11R18 PDF BibTeX XML Cite \textit{A. Silverberg} and \textit{Yu. G. Zarhin}, J. Pure Appl. Algebra 111, No. 1--3, 285--302 (1996; Zbl 0885.14006) Full Text: DOI OpenURL
de Jong, A. J. Étale fundamental groups of non-Archimedean analytic spaces. (English) Zbl 0864.14012 Compos. Math. 97, No. 1-2, 89-118 (1995). Reviewer: M.van der Put (Groningen) MSC: 14G20 14F35 14E20 14L05 PDF BibTeX XML Cite \textit{A. J. de Jong}, Compos. Math. 97, No. 1--2, 89--118 (1995; Zbl 0864.14012) Full Text: Numdam EuDML OpenURL
Bertolini, Massimo Selmer groups and Heegner points in anticyclotomic \(\mathbb{Z}_ p\)-extensions. (English) Zbl 0862.11043 Compos. Math. 99, No. 2, 153-182 (1995). Reviewer: M.Bertolini (Pavia) MSC: 11G40 14H52 11G05 11R23 11F67 PDF BibTeX XML Cite \textit{M. Bertolini}, Compos. Math. 99, No. 2, 153--182 (1995; Zbl 0862.11043) Full Text: Numdam EuDML OpenURL
Zarkhin, Yuri G. Transcendental cycles on ordinary K3 surfaces over finite fields. (English) Zbl 0819.14005 Duke Math. J. 72, No. 1, 65-83 (1993). Reviewer: L.Bădescu (Bucureşti) MSC: 14C25 14F20 14J28 PDF BibTeX XML Cite \textit{Y. G. Zarkhin}, Duke Math. J. 72, No. 1, 65--83 (1993; Zbl 0819.14005) Full Text: DOI OpenURL
Zarkhin, Yuri G. Abelian varieties having a reduction of \(K\)3 type. (English) Zbl 0774.14039 Duke Math. J. 65, No. 3, 511-527 (1992). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 14K15 14G40 PDF BibTeX XML Cite \textit{Y. G. Zarkhin}, Duke Math. J. 65, No. 3, 511--527 (1992; Zbl 0774.14039) Full Text: DOI OpenURL
Katz, Nicholas M. Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. (English) Zbl 0727.11057 Bull. Am. Math. Soc., New Ser. 23, No. 2, 269-309 (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 11T23 14F99 12H05 32C38 14J20 14G40 PDF BibTeX XML Cite \textit{N. M. Katz}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 269--309 (1990; Zbl 0727.11057) Full Text: DOI OpenURL