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Found 119 Documents (Results 1–100)

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Viu-Sos, Juan

An introduction to \(p\)-adic and motivic integration, zeta functions and invariants of singularities. (English) Zbl 1503.14015

Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 103-176 (2022).
Reviewer: Peter Petrov (Sofia)
MSC:  14E18 14G10 14B05 11S80 32S40
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\textit{J. Viu-Sos}, Contemp. Math. 778, 103--176 (2022; Zbl 1503.14015)
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Kedlaya, Kiran Sridhara

\(p\)-adic differential equations. 2nd edition. (English) Zbl 07504238

Cambridge Studies in Advanced Mathematics 199. Cambridge: Cambridge University Press (ISBN 978-1-00-912334-1/hbk; 978-1-00-912768-4/ebook). xx, 496 p. (2022).
Reviewer: Elmar Große-Klönne (Berlin)
MSC:  12-02 12H25 11S80 12H05 14G20 13A35
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\textit{K. S. Kedlaya}, \(p\)-adic differential equations. 2nd edition. Cambridge: Cambridge University Press (2022; Zbl 07504238)
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André, Yves; Baldassarri, Francesco; Cailotto, Maurizio

De Rham cohomology of differential modules on algebraic varieties. 2nd revised edition. (English) Zbl 1437.14029

Progress in Mathematics 189. Cham: Birkhäuser (ISBN 978-3-030-39718-0/hbk; 978-3-030-39719-7/ebook). xiv, 241 p. (2020).
MSC:  14F40 14F10 14-02 13N05 32S40
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\textit{Y. André} et al., De Rham cohomology of differential modules on algebraic varieties. 2nd revised edition. Cham: Birkhäuser (2020; Zbl 1437.14029)
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Banerjee, Kalyan; Guletskiĭ, Vladimir

Étale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in \(\mathbb{P}^5\). (English. Russian original) Zbl 1448.14011

Sb. Math. 211, No. 2, 161-200 (2020); translation from Mat. Sb. 211, No. 2, 3-45 (2020).
Reviewer: Vladimir P. Kostov (Nice)
MSC:  14C25 14D05 14F30 14J30 14J35
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\textit{K. Banerjee} and \textit{V. Guletskiĭ}, Sb. Math. 211, No. 2, 161--200 (2020; Zbl 1448.14011); translation from Mat. Sb. 211, No. 2, 3--45 (2020)
Full Text: DOI arXiv
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Lachaud, Gilles

The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158

Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019).
MSC:  11L07 14D05 20G41 22E45 60B15 60B20 11K36 33D80
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\textit{G. Lachaud}, Contemp. Math. 722, 79--103 (2019; Zbl 1443.11158)
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Mazzocco, Marta

Embedding of the rank 1 DAHA into \(Mat(2,\mathbb{T}_q)\) and its automorphisms. (English) Zbl 1409.33015

Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 449-468 (2018).
MSC:  33D80 33D52 16T99
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\textit{M. Mazzocco}, Adv. Stud. Pure Math. 76, 449--468 (2018; Zbl 1409.33015)
Full Text: DOI arXiv Euclid
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Bories, Bart; Veys, Willem

Igusa’s \(p\)-adic local zeta function and the monodromy conjecture for non-degenerate surface singularities. (English) Zbl 1397.14020

Mem. Am. Math. Soc. 1145, viii, 136 p. (2016).
MSC:  14D05 11S80 11S40 14E18 14J17 52B20 32S40 58K10
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\textit{B. Bories} and \textit{W. Veys}, Igusa's \(p\)-adic local zeta function and the monodromy conjecture for non-degenerate surface singularities. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1397.14020)
Full Text: DOI arXiv Link
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Chiarellotto, B.; Gerotto, G.; Sullivan, F. J.

Dwork’s 1994 Padova lectures on exponential modules. (English) Zbl 1339.11097

Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 347-405 (2011).
MSC:  11S80 12H25 34M35
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\textit{B. Chiarellotto} et al., Sémin. Congr. 23, 347--405 (2011; Zbl 1339.11097)
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Pulita, Andrea

A basic introduction to deformation and confluence of ultrametric differential and \(q\)-difference equations. (English. French summary) Zbl 1317.39013

Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 271-306 (2011).
MSC:  39A13 12H25 11S15 12H10
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\textit{A. Pulita}, Sémin. Congr. 23, 271--306 (2011; Zbl 1317.39013)
Full Text: arXiv
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Nicaise, Johannes

An introduction to \(p\)-adic and motivic zeta functions and the monodromy conjecture. (English) Zbl 1275.11147

Bhowmik, Gautami (ed.) et al., Algebraic and analytic aspects of zeta functions and \(L\)-functions. Lectures of the French-Japanese winter school, Miura, Japan, January 8–11, 2008. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-56-3/pbk). MSJ Memoirs 21, 141-166 (2010).
Reviewer: Wim Veys (Leuven)
MSC:  11S40 11S80 14E18 14G10
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\textit{J. Nicaise}, MSJ Mem. 21, 141--166 (2010; Zbl 1275.11147)
Full Text: arXiv
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Kedlaya, Kiran S.

\(p\)-adic cohomology. (English) Zbl 1217.14016

Abramovich, D. (ed.) et al., Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25–August 12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4703-9/hbk; 978-0-8218-4057-3/set). Proceedings of Symposia in Pure Mathematics. 80, Pt. 2, 667-684 (2009).
Reviewer: Laurent Berger (Lyon)
MSC:  14F30 14F40 14G10 14G20 14F10 13N10 14G22 16S32 32C38
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\textit{K. S. Kedlaya}, in: Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25--August 12, 2005. Providence, RI: American Mathematical Society (AMS). 667--684 (2009; Zbl 1217.14016)
Full Text: arXiv
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Berger, Laurent; Colmez, Pierre

Families of de Rham representations and \(p\)-adic monodromy. (Familles de représentations de de Rham et monodromie \(p\)-adique.) (French. English summary) Zbl 1168.11020

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, 303-337 (2008).
Reviewer: Elmar Große-Klönne (Berlin)
MSC:  11F80 11F85 11S25 12H25 14F30
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\textit{L. Berger} and \textit{P. Colmez}, Astérisque 319, 303--337 (2008; Zbl 1168.11020)
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Mebkhout, Zoghman

Frobenius structures and monodromy exponents of \(p\)-adic differential equations. (Structures de Frobenius et exposants de la monodromie \(p\)-adique des équations différentielles.) (French) Zbl 1175.12002

Brasselet, Jean-Paul (ed.) et al., Singularities I. Algebraic and analytic aspects. Proceedings of the international conference “School and workshop on the geometry and topology of singularities” in honor of the 60th birthday of Lê Dũng Tráng, Cuernavaca, Mexico, January 8–26, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4458-8/pbk). Contemporary Mathematics 474, 175-243 (2008).
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:  12H25 14F40 11S20
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\textit{Z. Mebkhout}, Contemp. Math. 474, 175--243 (2008; Zbl 1175.12002)
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Raskind, Wayne

A generalized Hodge-Tate conjecture for algebraic varieties with totally degenerate reduction over \(p\)-adic fields. (English) Zbl 1085.14009

Tandon, Rajat (ed.), Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11–16, 2003. New Delhi: Hindustan Book Agency (ISBN 81-85931-57-7/hbk). 99-115 (2005).
Reviewer: Fumio Hazama (Hatoyama)
MSC:  14C25 11G25 14G20 14C35 14F30 19F27
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\textit{W. Raskind}, in: Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11--16, 2003. New Delhi: Hindustan Book Agency. 99--115 (2005; Zbl 1085.14009)
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André, Yves; Di Vizio, Lucia

\(q\)-difference equations and \(p\)-adic local monodromy. (English) Zbl 1075.39017

Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. I. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-167-8/pbk). Astérisque 296, 55-111 (2004).
MSC:  39A13 12H10 33D05
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\textit{Y. André} and \textit{L. Di Vizio}, Astérisque 296, 55--111 (2004; Zbl 1075.39017)
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André, Yves

Galois representations, differential equations, and \(q\)-difference equations: sketch of a \(p\)-adic unification. (English) Zbl 1074.12005

Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. I. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-167-8/pbk). Astérisque 296, 43-53 (2004).
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:  12H25 11S15 34M15 39A13
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\textit{Y. André}, Astérisque 296, 43--53 (2004; Zbl 1074.12005)
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Saito, Takeshi

Weight-monodromy conjecture for \(\ell\)-adic representations associated to modular forms: A supplement to the paper: “Modular forms and \(p\)-adic Hodge theory”. (English) Zbl 0990.11035

Gordon, B. Brent (ed.) et al., The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998. Vol. 1. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 548, 427-431 (2000).
MSC:  11F80 14G40 14F30 11F85 14G20
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\textit{T. Saito}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 548, 427--431 (2000; Zbl 0990.11035)
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André, Yves; Baldassarri, Francesco

Geometric theory of \(G\)-functions. (English) Zbl 0936.14014

Catanese, Fabrizio (ed.), Arithmetic geometry. Proceedings of a symposium, Cortona, Arezzo, Italy, October 16-21, 1994. Cambridge: Cambridge University Press. Symp. Math. 37, 1-22 (1997).
Reviewer: Daniel Bertrand (Paris)
MSC:  14F10 12H25
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\textit{Y. André} and \textit{F. Baldassarri}, in: Arithmetic geometry. Proceedings of a symposium, Cortona, Arezzo, Italy, October 16--21, 1994. Cambridge: Cambridge University Press. 1--22 (1997; Zbl 0936.14014)
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Berthelot, Pierre

Alterations of algebraic varieties (after A. J. de Jong). (Altérations de variétés algébriques (d’après A. J. de Jong).) (French) Zbl 0924.14007

Séminaire Bourbaki. Volume 1995/96. Exposés 805–819. Paris: Société Mathématique de France, Astérisque. 241, 273-311, Exp. No. 815 (1997).
Reviewer: Augusto Nobile (Baton Rouge)
MSC:  14E15 14B05 14H10 14F30 14F20
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\textit{P. Berthelot}, in: Séminaire Bourbaki. Volume 1995/96. Exposés 805--819. Paris: Société Mathé\-matique de France. 273--311, Ex. No. 815 (1997; Zbl 0924.14007)
Full Text: Numdam EuDML
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André, Yves

The theory of motives and geometric interpretation of \(p\)-adic values of \(G\)-functions. An introduction. (Théorie des motifs et interprétation géométrique des valeurs \(p\)-adiques de \(G\)-functions (une introduction).) (French) Zbl 0848.11034

David, Sinnou (ed.), Number theory. Séminaire de théorie des nombres de Paris 1992-93. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 215, 37-60 (1995).
Reviewer: Jürgen Wolfart (Frankfurt am Main)
MSC:  11J91 14D05 14A20 12H05
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\textit{Y. André}, Lond. Math. Soc. Lect. Note Ser. 215, 37--60 (1995; Zbl 0848.11034)
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Raynaud, Michel

1-motives and geometric monodromy. (Exposé VII: 1-motifs et monodromie géométrique.) (French) Zbl 0830.14001

Fontaine, Jean-Marc (ed.), Périodes \(p\)-adiques. Séminaire de Bures- sur-Yvette, France, 1988. Paris: Société Mathématique de France, Astérisque. 223, 295-319 (1994).
Reviewer: L.Barbieri-Viale (Genova)
MSC:  14A20 14G20 14F30
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\textit{M. Raynaud}, in: Périodes \(p\)-adiques. Séminaire du Bures-sur-Yvette, France, 1988. Paris: Société Mathématique de France. 295--319 (1994; Zbl 0830.14001)
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Hyodo, Osamu; Kato, Kazuya

Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. (English) Zbl 0852.14004

Fontaine, Jean-Marc (ed.), Périodes \(p\)-adiques. Séminaire de Bures-sur-Yvette, France, 1988. Paris: Société Mathématique de France, Astérisque. 223, 221-268 (1994).
MSC:  14F30 14L30
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\textit{O. Hyodo} and \textit{K. Kato}, in: Périodes \(p\)-adiques. Séminaire du Bures-sur-Yvette, France, 1988. Paris: Société Mathématique de France. 221--268 (1994; Zbl 0852.14004)
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Mazur, Barry (ed.); Stevens, Glenn (ed.)

\(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. (English) Zbl 0794.00016

Contemporary Mathematics. 165. Providence, RI: American Mathematical Society (AMS). xiii, 315 p. (1994).
MSC:  00B25 11-06 14-06
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\textit{B. Mazur} (ed.) and \textit{G. Stevens} (ed.), \(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. Providence, RI: American Mathematical Society (1994; Zbl 0794.00016)
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Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J.

An introduction to \(G\)-functions. (English) Zbl 0830.12004

Annals of Mathematics Studies. 133. Princeton, NJ: Princeton University Press. xxi, 323 p. $ 59.50; £ 50.00 / hbk; $ 29.95; £ 25.00 / pbk (1994).
Reviewer: D.Bertrand (Paris)
MSC:  12H25 12-02 11J91 11S80 14G10 14G20 32S40 33C60 41A21
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\textit{B. Dwork} et al., An introduction to \(G\)-functions. Princeton, NJ: Princeton University Press (1994; Zbl 0830.12004)
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