Andreatta, F.; Barbieri-Viale, L.; Bertapelle, A.; Kahn, B. Motivic periods and Grothendieck arithmetic invariants. (English) Zbl 1433.14017 Adv. Math. 359, Article ID 106880, 50 p. (2020). Reviewer: Alberto Merici (Zürich) MSC: 14F42 14F40 19E15 14C30 14L15 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Adv. Math. 359, Article ID 106880, 50 p. (2020; Zbl 1433.14017) Full Text: DOI
Brinon, Olivier; Andreatta, Fabrizio; Brasca, Riccardo; Chiarellotto, Bruno; Mazzari, Nicola; Panozzo, Simone; Seveso, Marco An introduction to perfectoid spaces. (English) Zbl 1443.14022 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, 207-265 (2019). MSC: 14F20 14F30 14G20 14G22 32P05 14G45 14-01 PDF BibTeX XML Cite \textit{O. Brinon} et al., Panor. Synth. 54, 207--265 (2019; Zbl 1443.14022)
Andreatta, Fabrizio; Brasca, Riccardo; Brinon, Olivier; Caruso, Xavier; Chiarellotto, Bruno; Freixas i Montplet, Gérard; Hattori, Shin; Mazzari, Nicola; Panozzo, Simone; Seveso, Marco; Yamashita, Go An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. (English, French) Zbl 1430.14001 Panoramas et Synthèses 54. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-913-5/pbk). xii, 268 p. (2019). MSC: 14-02 14-06 14F30 14C30 14G45 PDF BibTeX XML Cite \textit{F. Andreatta} et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF) (2019; Zbl 1430.14001)
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent \(p\)-adic variation of automorphic sheaves. (English) Zbl 1443.11109 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249-276 (2018). MSC: 11G18 11G40 PDF BibTeX XML Cite \textit{F. Andreatta} et al., in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249--276 (2018; Zbl 1443.11109) Full Text: DOI
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent The spectral halo. (Le halo spectral.) (French. English summary) Zbl 1444.11075 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 603-655 (2018). MSC: 11F33 11G18 14G35 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 603--655 (2018; Zbl 1444.11075) Full Text: Link Link
Andreatta, Fabrizio; Goren, Eyal; Howard, Benjamin; Madapusi Pera, Keerthi Faltings heights of abelian varieties with complex multiplication. (English) Zbl 06841544 Ann. Math. (2) 187, No. 2, 391-531 (2018). MSC: 11G15 11G18 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Ann. Math. (2) 187, No. 2, 391--531 (2018; Zbl 06841544) Full Text: DOI
Andreatta, Fabrizio; Goren, Eyal Z.; Howard, Benjamin; Madapusi Pera, Keerthi Height pairings on orthogonal Shimura varieties. (English) Zbl 1428.11114 Compos. Math. 153, No. 3, 474-534 (2017). MSC: 11G18 14G40 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Compos. Math. 153, No. 3, 474--534 (2017; Zbl 1428.11114) Full Text: DOI arXiv
Andreatta, F.; Barbieri-Viale, L.; Bertapelle, A. Ogus realization of 1-motives. (English) Zbl 1401.14109 J. Algebra 487, 294-316 (2017). MSC: 14F30 14F40 14L05 11G10 PDF BibTeX XML Cite \textit{F. Andreatta} et al., J. Algebra 487, 294--316 (2017; Zbl 1401.14109) Full Text: DOI
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent On overconvergent Hilbert modular cusp forms. (À propos des formes modulaires surconvergentes cuspidales de Hilbert.) (English. French summary) Zbl 1408.11037 Andreatta, Fabrizio et al., Arithmétique \(p\)-adique des formes de Hilbert. Paris: Société Mathématique de France (SMF). Astérisque 382, 163-193 (2016). MSC: 11F41 11F85 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Astérisque 382, 163--193 (2016; Zbl 1408.11037)
Andreatta, Fabrizio; Iovita, Adrian; Stevens, Glenn A 0.5 (half) overconvergent Eichler-Shimura isomorphism. (English. French summary) Zbl 1416.11093 Ann. Math. Qué. 40, No. 1, 121-148 (2016). MSC: 11G18 11G07 11F41 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Ann. Math. Qué. 40, No. 1, 121--148 (2016; Zbl 1416.11093) Full Text: DOI
Andreatta, Fabrizio; Bijakowski, Stéphane; Iovita, Adrian; Kassaei, Payman L.; Pilloni, Vincent; Stroh, Benoît; Tian, Yichao; Xiao, Liang \(p\)-adic arithmetic of Hilbert modular forms. (Arithmétique \(p\)-adique des formes de Hilbert.) (French) Zbl 1353.11003 Astérisque 382. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-843-5/pbk). xxii, 266 p. (2016). MSC: 11-06 11F41 11F85 11F33 11G18 14G35 00B15 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Arithmétique \(p\)-adique des formes de Hilbert. Paris: Société Mathématique de France (SMF) (2016; Zbl 1353.11003)
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent The adic, cuspidal, Hilbert eigenvarieties. (English) Zbl 1417.11063 Res. Math. Sci. 3, Paper No. 34, 36 p. (2016). MSC: 11F41 11G18 14G35 14F05 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Res. Math. Sci. 3, Paper No. 34, 36 p. (2016; Zbl 1417.11063) Full Text: DOI
Andreatta, Fabrizio; Gasbarri, Carlo Deformation of torsors under monogenic group schemes. (English. French summary) Zbl 1346.14064 J. Théor. Nombres Bordx. 28, No. 1, 125-143 (2016). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G20 11G20 14H30 14C15 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{C. Gasbarri}, J. Théor. Nombres Bordx. 28, No. 1, 125--143 (2016; Zbl 1346.14064) Full Text: DOI
Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong A \(p\)-adic nonabelian criterion for good reduction of curves. (English) Zbl 1347.11051 Duke Math. J. 164, No. 13, 2597-2642 (2015). Reviewer: Feng-Wen An (Hubei) MSC: 11G20 14F30 14G22 14G32 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Duke Math. J. 164, No. 13, 2597--2642 (2015; Zbl 1347.11051) Full Text: DOI Euclid
Andreatta, Fabrizio; Iovita, Adrian; Stevens, Glenn Overconvergent Eichler-Shimura isomorphisms. (English) Zbl 1379.11062 J. Inst. Math. Jussieu 14, No. 2, 221-274 (2015). MSC: 11F85 11G25 14G20 PDF BibTeX XML Cite \textit{F. Andreatta} et al., J. Inst. Math. Jussieu 14, No. 2, 221--274 (2015; Zbl 1379.11062) Full Text: DOI arXiv
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent \(p\)-adic families of Siegel modular cuspforms. (English) Zbl 1394.11045 Ann. Math. (2) 181, No. 2, 623-697 (2015). Reviewer: Matteo Longo (Padova) MSC: 11F85 11F46 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Ann. Math. (2) 181, No. 2, 623--697 (2015; Zbl 1394.11045) Full Text: DOI arXiv
Andreatta, Fabrizio; Iovita, Adrian; Stevens, Glenn Overconvergent modular sheaves and modular forms for \(\mathrm{GL}_{2/F}\). (English) Zbl 1326.14051 Isr. J. Math. 201, Part A, 299-359 (2014). Reviewer: Gerd Faltings (Bonn) MSC: 14F30 11F41 11F85 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Isr. J. Math. 201, Part A, 299--359 (2014; Zbl 1326.14051) Full Text: DOI
Andreatta, Fabrizio; Brinon, Olivier Geometric acyclicity of \(B_{\mathrm{cris}}\). (Acyclicité géométrique de \(B_{\mathrm{cris}}\).) (French) Zbl 1302.14016 Comment. Math. Helv. 88, No. 4, 965-1022 (2013). Reviewer: Laurent Berger (Lyon) MSC: 14F30 11S15 11S25 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{O. Brinon}, Comment. Math. Helv. 88, No. 4, 965--1022 (2013; Zbl 1302.14016) Full Text: DOI
Andreatta, Fabrizio; Iovita, Adrian Comparison isomorphisms for smooth formal schemes. (English) Zbl 1281.14013 J. Inst. Math. Jussieu 12, No. 1, 77-151 (2013). Reviewer: Brian Smithling (Baltimore) MSC: 14F30 14F05 14B20 14F20 11G25 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{A. Iovita}, J. Inst. Math. Jussieu 12, No. 1, 77--151 (2013; Zbl 1281.14013) Full Text: DOI arXiv
Andreatta, Fabrizio; Iovita, Adrian Semistable sheaves and comparison isomorphisms in the semistable case. (English) Zbl 1275.14012 Rend. Semin. Mat. Univ. Padova 128, 131-285 (2012). Reviewer: Gerd Faltings (Bonn) MSC: 14F05 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{A. Iovita}, Rend. Semin. Mat. Univ. Padova 128, 131--285 (2012; Zbl 1275.14012) Full Text: DOI arXiv
Andreatta, Fabrizio Coleman-Oort’s conjecture for degenerate irreducible curves. (English) Zbl 1256.14044 Isr. J. Math. 187, 231-285 (2012). Reviewer: Dan Petersen (Stockholm) MSC: 14K10 11G15 14G35 32G20 14H10 32M15 PDF BibTeX XML Cite \textit{F. Andreatta}, Isr. J. Math. 187, 231--285 (2012; Zbl 1256.14044) Full Text: DOI
Andreatta, Fabrizio; Bertapelle, Alessandra Universal extension crystals of 1-motives and applications. (English) Zbl 1225.14014 J. Pure Appl. Algebra 215, No. 8, 1919-1944 (2011). Reviewer: Claudio Pedrini (Genova) MSC: 14F40 14F42 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{A. Bertapelle}, J. Pure Appl. Algebra 215, No. 8, 1919--1944 (2011; Zbl 1225.14014) Full Text: DOI
Andreatta, Fabrizio; Iovita, Adrian Erratum to the article: Global applications to relative \((\varphi,\Gamma)\)-modules. I. (English) Zbl 1202.11038 Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-281-5/pbk). Astérisque 330, 543-554 (2010). MSC: 11G99 14F20 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{A. Iovita}, Astérisque 330, 543--554 (2010; Zbl 1202.11038) Full Text: Link
Andreatta, Fabrizio; Brinon, Olivier B\(_{\text{dR}}\)-representations in the relative case. (B\(_{\text{dR}}\)-représentations dans le cas relatif.) (French) Zbl 1195.11074 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 2, 279-339 (2010). Reviewer: Elmar Große-Klönne (Berlin) MSC: 11F80 11F85 11S37 11S20 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{O. Brinon}, Ann. Sci. Éc. Norm. Supér. (4) 43, No. 2, 279--339 (2010; Zbl 1195.11074) Full Text: DOI Link
Andreatta, Fabrizio; Iovita, Adrian Global applications of relative \((\varphi,\Gamma)\)-modules. I. (English) Zbl 1163.11051 Berger, Laurent (ed.) et al., Représentation \(p\)-adiques de groupes \(p\)-adiques I. Représentations galoisiennes et \((\varphi, \Gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-256-3/pbk). Astérisque 319, 339-419 (2008); erratum Astérisque 330, 543-554 (2010). Reviewer: Elmar Große-Klönne (Berlin) MSC: 11G99 14F20 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{A. Iovita}, Astérisque 319, 339--419 (2008; Zbl 1163.11051) Full Text: arXiv
Andreatta, Fabrizio; Brinon, Olivier Overconvergence of \(p\)-adic representations: the relative case. (Surconvergence des représentations \(p\)-adiques: le cas relatif.) (French. English summary) Zbl 1168.11018 Berger, Laurent (ed.) et al., Représentation \(p\)-adiques de groupes \(p\)-adiques I. Représentations galoisiennes et \((\varphi, \Gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-256-3/pbk). Astérisque 319, 39-116 (2008). Reviewer: Elmar Große-Klönne (Berlin) MSC: 11F80 11F85 11S25 11S15 11S20 13K05 14E22 14F30 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{O. Brinon}, Astérisque 319, 39--116 (2008; Zbl 1168.11018)
Andreatta, F.; Gasbarri, C. Torsors under some group schemes of order \(p^n\). (English) Zbl 1135.14036 J. Algebra 318, No. 2, 1057-1067 (2007). Reviewer: Alan Koch (Decatur) MSC: 14L15 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{C. Gasbarri}, J. Algebra 318, No. 2, 1057--1067 (2007; Zbl 1135.14036) Full Text: DOI
Andreatta, F.; Gasbarri, C. The canonical subgroup for families of abelian varieties. (English) Zbl 1219.11087 Compos. Math. 143, No. 3, 566-602 (2007). Reviewer: Alan Koch (Decatur) MSC: 11G10 14K10 11F33 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{C. Gasbarri}, Compos. Math. 143, No. 3, 566--602 (2007; Zbl 1219.11087) Full Text: DOI
Andreatta, Fabrizio Generalized ring of norms and generalized \((\varphi ,\Gamma )\)-modules. (English) Zbl 1123.13007 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 599-647 (2006). Reviewer: Gerd Faltings (Bonn) MSC: 13B40 14F30 14F20 PDF BibTeX XML Cite \textit{F. Andreatta}, Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 599--647 (2006; Zbl 1123.13007) Full Text: DOI Numdam EuDML
Andreatta, F.; Goren, E. Z. Hilbert modular forms: mod \(p\) and \(p\)-adic aspects. (English) Zbl 1071.11023 Mem. Am. Math. Soc. 819, 100 p. (2005). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F41 11F85 11F33 11G18 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{E. Z. Goren}, Hilbert modular forms: mod \(p\) and \(p\)-adic aspects. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1071.11023) Full Text: DOI
Andreatta, Fabrizio; Barbieri-Viale, Luca Crystalline realizations of 1-motives. (English) Zbl 1101.14018 Math. Ann. 331, No. 1, 111-172 (2005). Reviewer: Claudio Pedrini (Genova) MSC: 14F30 14F42 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{L. Barbieri-Viale}, Math. Ann. 331, No. 1, 111--172 (2005; Zbl 1101.14018) Full Text: DOI arXiv
Andreatta, Fabrizio; Goren, Eyal Z. Hilbert modular varieties of low dimension. (English) Zbl 1118.11025 Adolphson, Alan (ed.) et al., Geometric aspects of Dwork theory. Vol. I, II. Berlin: Walter de Gruyter (ISBN 3-11-017478-2/hbk). 113-175 (2004). Reviewer: Imin Chen (Burnaby) MSC: 11F41 11G18 11G35 14G35 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{E. Z. Goren}, in: Geometric aspects of Dwork theory. Vol. I, II. Berlin: Walter de Gruyter. 113--175 (2004; Zbl 1118.11025)
Andreatta, F.; Goren, E. Z. Geometry of Hilbert modular varieties over totally ramified primes. (English) Zbl 1045.14012 Int. Math. Res. Not. 2003, No. 33, 1785-1835 (2003). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14G35 11G18 11R80 14B05 PDF BibTeX XML Cite \textit{F. Andreatta} and \textit{E. Z. Goren}, Int. Math. Res. Not. 2003, No. 33, 1785--1835 (2003; Zbl 1045.14012) Full Text: DOI
Andreatta, Fabrizio The small Schottky-Jung locus in positive characteristics different from two. (English) Zbl 1067.14025 Ann. Inst. Fourier 53, No. 1, 69-106 (2003). Reviewer: Christophe Ritzenthaler (Barcelona) MSC: 14H42 PDF BibTeX XML Cite \textit{F. Andreatta}, Ann. Inst. Fourier 53, No. 1, 69--106 (2003; Zbl 1067.14025) Full Text: DOI Numdam EuDML
Andreatta, Fabrizio On Mumford’s uniformization and Néron models of Jacobians of semistable curves over complete rings. (English) Zbl 1120.14036 Faber, Carel (ed.) et al., Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Basel: Birkhäuser (ISBN 3-7643-6517-X/hbk). Prog. Math. 195, 11-126 (2001). Reviewer: Herbert Lange (Erlangen) MSC: 14K15 14H40 14D15 11G10 PDF BibTeX XML Cite \textit{F. Andreatta}, Prog. Math. 195, 11--126 (2001; Zbl 1120.14036)