Shabat, George B. Visualizing algebraic curves: from Riemann to Grothendieck. (English) Zbl 1524.14064 J. Sib. Fed. Univ., Math. Phys. 1, No. 1, 42-51 (2008). MSC: 14H30 30F30 14G40 PDFBibTeX XMLCite \textit{G. B. Shabat}, J. Sib. Fed. Univ., Math. Phys. 1, No. 1, 42--51 (2008; Zbl 1524.14064) Full Text: MNR
Moriwaki, Atsushi Arakelov geometry. (Arakerofu kika.) (Japanese) Zbl 1304.14002 Iwanami Studies in Advanced Mathematics. Tokyo: Iwanami Shoten (ISBN 978-4-00-007551-0). xii, 421 p. (2008). MSC: 14-02 14G40 11G50 14H25 14J20 14K15 PDFBibTeX XMLCite \textit{A. Moriwaki}, Arakerofu kika (Japanese). Tokyo: Iwanami Shoten (2008; Zbl 1304.14002)
Noot-Huyghe, C. Some results concerning \(p\)-adic \(D\)-modules. (Quelques résultats autour des \(D\)-modules \(p\)-adiques.) (French) Zbl 1216.14015 Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA). 16 p. (2008). MSC: 14F10 14G40 PDFBibTeX XMLCite \textit{C. Noot-Huyghe}, Quelques résultats autour des \(D\)-modules \(p\)-adiques. Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA) (2008; Zbl 1216.14015) Full Text: HAL
Burgos Gil, José Ignacio Semi-purity of tempered Deligne cohomology. (English) Zbl 1194.14030 Collect. Math. 59, No. 1, 79-102 (2008). Reviewer: Cristiana Bertolin (Padova) MSC: 14F43 14G40 14C30 PDFBibTeX XMLCite \textit{J. I. Burgos Gil}, Collect. Math. 59, No. 1, 79--102 (2008; Zbl 1194.14030) Full Text: DOI arXiv EuDML Link
Kramer, Jürg; Salvati Manni, R. Green’s currents for families of Hermitian vector bundles characterizing certain vanishing loci. (English) Zbl 1174.14022 Abh. Math. Semin. Univ. Hamb. 78, No. 1, 51-67 (2008). Reviewer: Cristiana Bertolin (Padova) MSC: 14G40 11G10 14J70 PDFBibTeX XMLCite \textit{J. Kramer} and \textit{R. Salvati Manni}, Abh. Math. Semin. Univ. Hamb. 78, No. 1, 51--67 (2008; Zbl 1174.14022) Full Text: DOI
Gaudron, Éric Slopes of adelic vector bundles over global fields. (Pentes des fibrés vectoriels adéliques sur un corps global.) (French) Zbl 1206.14047 Rend. Semin. Mat. Univ. Padova 119, 21-95 (2008). Reviewer: Oliver Lorscheid (New York) MSC: 14G40 11R56 14D20 PDFBibTeX XMLCite \textit{É. Gaudron}, Rend. Semin. Mat. Univ. Padova 119, 21--95 (2008; Zbl 1206.14047) Full Text: DOI arXiv EuDML Link
Ikoma, Hideaki The Faltings-Moriwaki modular height and isogenies of elliptic curves. (English) Zbl 1260.11047 J. Math. Kyoto Univ. 48, No. 3, 661-682 (2008). MSC: 11G50 14G40 11G05 14G25 PDFBibTeX XMLCite \textit{H. Ikoma}, J. Math. Kyoto Univ. 48, No. 3, 661--682 (2008; Zbl 1260.11047) Full Text: DOI Euclid
Yamaki, Kazuhiko Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields. (English) Zbl 1248.11046 J. Math. Kyoto Univ. 48, No. 2, 401-443 (2008). Reviewer: Martin Bright (Beirut) MSC: 11G35 11G10 11G50 14G25 14G40 14K15 PDFBibTeX XMLCite \textit{K. Yamaki}, J. Math. Kyoto Univ. 48, No. 2, 401--443 (2008; Zbl 1248.11046) Full Text: DOI
Schoof, René Computing Arakelov class groups. (English) Zbl 1188.11076 Buhler, J. P. (ed.) et al., Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). Mathematical Sciences Research Institute Publications 44, 447-495 (2008). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 14G40 PDFBibTeX XMLCite \textit{R. Schoof}, Math. Sci. Res. Inst. Publ. 44, 447--495 (2008; Zbl 1188.11076) Full Text: arXiv
Stevenhagen, Peter The arithmetic of number rings. (English) Zbl 1216.11099 Buhler, J. P. (ed.) et al., Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). Mathematical Sciences Research Institute Publications 44, 209-266 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R04 11Y40 11Y16 11R29 PDFBibTeX XMLCite \textit{P. Stevenhagen}, Math. Sci. Res. Inst. Publ. 44, 209--266 (2008; Zbl 1216.11099)
Gubler, Walter Equidistribution over function fields. (English) Zbl 1189.14030 Manuscr. Math. 127, No. 4, 485-510 (2008). Reviewer: Jorge Pineiro (Bronx) MSC: 14G40 14T05 11G50 37P30 37P05 14C40 14G25 37P55 PDFBibTeX XMLCite \textit{W. Gubler}, Manuscr. Math. 127, No. 4, 485--510 (2008; Zbl 1189.14030) Full Text: DOI arXiv
Chambert-Loir, Antoine Counting (quickly) the number of solutions of equations in finite fields. (Compter (rapidement) le nombre de solutions - d’équations dans les corps finis.) (French) Zbl 1189.11059 Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 39-90, Exp. No. 968 (2008). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11Y16 14G15 11D45 14G40 14F20 14F30 11G20 11G25 PDFBibTeX XMLCite \textit{A. Chambert-Loir}, Astérisque 317, 39--90, Exp. No. 968 (2008; Zbl 1189.11059) Full Text: arXiv Link
Silverman, Joseph H. Variation of periods modulo \(p\) in arithmetic dynamics. (English) Zbl 1153.11028 New York J. Math. 14, 601-616 (2008). Reviewer: Takao Yamazaki (Tohoku) MSC: 11G35 11B37 14G40 37F10 PDFBibTeX XMLCite \textit{J. H. Silverman}, New York J. Math. 14, 601--616 (2008; Zbl 1153.11028) Full Text: arXiv EuDML EMIS
Gillet, Henri; Rössler, Damian; Soulé, Christophe An arithmetic Riemann-Roch theorem in higher degrees. (English) Zbl 1152.14023 Ann. Inst. Fourier 58, No. 6, 2169-2189 (2008). Reviewer: Huayi Chen (Paris) MSC: 14G40 14C40 58J52 PDFBibTeX XMLCite \textit{H. Gillet} et al., Ann. Inst. Fourier 58, No. 6, 2169--2189 (2008; Zbl 1152.14023) Full Text: DOI arXiv Numdam EuDML
Moriwaki, Atsushi Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety. (English) Zbl 1221.14031 J. Math. Kyoto Univ. 48, No. 1, 7-26 (2008). Reviewer: Huayi Chen (Paris) MSC: 14G40 14F05 14J60 PDFBibTeX XMLCite \textit{A. Moriwaki}, J. Math. Kyoto Univ. 48, No. 1, 7--26 (2008; Zbl 1221.14031) Full Text: DOI arXiv
Vasiu, Adrian Integral canonical models of unitary Shimura varieties. (English) Zbl 1215.11061 Asian J. Math. 12, No. 2, 151-176 (2008). Reviewer: Junecue Suh (Princeton) MSC: 11G18 14F30 14G35 14K10 11G10 14G40 PDFBibTeX XMLCite \textit{A. Vasiu}, Asian J. Math. 12, No. 2, 151--176 (2008; Zbl 1215.11061) Full Text: DOI arXiv Euclid
Ellenberg, Jordan S. Points of low heights on \(\mathbb P^1\) over number fields and bounds for torsion in class groups. (English) Zbl 1195.11146 Lauter, Kristin E. (ed.) et al., Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4320-8/pbk). Contemporary Mathematics 463, 45-48 (2008). Reviewer: Charles Parry (Blacksburg) MSC: 11R29 11G50 11R47 PDFBibTeX XMLCite \textit{J. S. Ellenberg}, Contemp. Math. 463, 45--48 (2008; Zbl 1195.11146)
Philippon, Patrice; Sombra, Martín Some diophantine aspects of projective toric varieties. (Quelques aspects diophantiens des variétés toriques projectives.) (French) Zbl 1153.11029 Schlickewei, Hans Peter et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 295-338 (2008). Reviewer: Michel Waldschmidt (Paris) MSC: 11G50 14G40 14M25 PDFBibTeX XMLCite \textit{P. Philippon} and \textit{M. Sombra}, Dev. Math. 16, 295--338 (2008; Zbl 1153.11029) Full Text: DOI arXiv
Christensen, Christian; Gubler, Walter The relative theorem of Schanuel. (Der relative Satz von Schanuel.) (German. English summary) Zbl 1155.11034 Manuscr. Math. 126, No. 4, 505-525 (2008). Reviewer: Cristiana Bertolin (Regensburg) MSC: 11G50 14G40 PDFBibTeX XMLCite \textit{C. Christensen} and \textit{W. Gubler}, Manuscr. Math. 126, No. 4, 505--525 (2008; Zbl 1155.11034) Full Text: DOI
Habegger, P. Intersecting subvarieties of \({G_m^n}\) with algebraic subgroups. (English) Zbl 1168.14019 Math. Ann. 342, No. 2, 449-466 (2008). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 14G40 11G35 11G50 PDFBibTeX XMLCite \textit{P. Habegger}, Math. Ann. 342, No. 2, 449--466 (2008; Zbl 1168.14019) Full Text: DOI
Amoroso, Francesco On the Mahler measure in several variables. (English) Zbl 1154.11020 Bull. Lond. Math. Soc. 40, No. 4, 619-630 (2008). Reviewer: Artūras Dubickas (Vilnius) MSC: 11G50 11R09 11J81 14G40 PDFBibTeX XMLCite \textit{F. Amoroso}, Bull. Lond. Math. Soc. 40, No. 4, 619--630 (2008; Zbl 1154.11020) Full Text: DOI
Yuan, Xinyi Big line bundles over arithmetic varieties. (English) Zbl 1146.14016 Invent. Math. 173, No. 3, 603-649 (2008). Reviewer: Xander Faber (Montreal) MSC: 14G40 PDFBibTeX XMLCite \textit{X. Yuan}, Invent. Math. 173, No. 3, 603--649 (2008; Zbl 1146.14016) Full Text: DOI arXiv
Poonen, Bjorn Smooth hypersurface sections containing a given subscheme over a finite field. (English) Zbl 1207.14047 Math. Res. Lett. 15, No. 2-3, 265-271 (2008). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 14J70 14G15 11M38 11M41 14G40 14N05 PDFBibTeX XMLCite \textit{B. Poonen}, Math. Res. Lett. 15, No. 2--3, 265--271 (2008; Zbl 1207.14047) Full Text: DOI arXiv
Wiesend, Götz Tamely ramified covers of varieties and arithmetic schemes. (English) Zbl 1143.14023 Forum Math. 20, No. 3, 515-522 (2008). Reviewer: Xander Faber (Montreal) MSC: 14G40 14E20 14E22 PDFBibTeX XMLCite \textit{G. Wiesend}, Forum Math. 20, No. 3, 515--522 (2008; Zbl 1143.14023) Full Text: DOI
Philippon, Patrice; Sombra, Martín A refinement of the Bernštein-Kušnirenko estimate. (English) Zbl 1155.14037 Adv. Math. 218, No. 5, 1370-1418 (2008). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14M25 14C17 11G50 14G40 52A99 32A05 PDFBibTeX XMLCite \textit{P. Philippon} and \textit{M. Sombra}, Adv. Math. 218, No. 5, 1370--1418 (2008; Zbl 1155.14037) Full Text: DOI arXiv
Philippon, Patrice; Sombra, Martín Essential minimum and obstruction degrees of subtorus translations. (Minimum essentiel et degrés d’obstruction des translatés de sous-tores.) (French. English summary) Zbl 1230.11085 Acta Arith. 133, No. 1, 1-24 (2008). Reviewer: Patrice Philippon (Paris) MSC: 11G50 14G40 14M25 PDFBibTeX XMLCite \textit{P. Philippon} and \textit{M. Sombra}, Acta Arith. 133, No. 1, 1--24 (2008; Zbl 1230.11085) Full Text: DOI
Vasiu, Adrian Some cases of the Mumford-Tate conjecture and Shimura varieties. (English) Zbl 1173.11039 Indiana Univ. Math. J. 57, No. 1, 1-75 (2008). Reviewer: Ulrich Görtz (Essen) MSC: 11G10 11G15 11G18 11R32 14G35 14G40 PDFBibTeX XMLCite \textit{A. Vasiu}, Indiana Univ. Math. J. 57, No. 1, 1--75 (2008; Zbl 1173.11039) Full Text: DOI arXiv
Philippon, Patrice; Sombra, Martín Normalized height of projective toric varieties. (Hauteur normalisée des variétés toriques projectives.) (French) Zbl 1147.11033 J. Inst. Math. Jussieu 7, No. 2, 327-373 (2008). Reviewer: Michel Waldschmidt (Paris) MSC: 11G50 14G40 14M25 PDFBibTeX XMLCite \textit{P. Philippon} and \textit{M. Sombra}, J. Inst. Math. Jussieu 7, No. 2, 327--373 (2008; Zbl 1147.11033) Full Text: DOI arXiv
Kawaguchi, Shu Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint. (English) Zbl 1144.14019 Am. J. Math. 130, No. 1, 159-186 (2008). Reviewer: Huayi Chen (Paris) MSC: 14G40 37C25 11G35 14J50 PDFBibTeX XMLCite \textit{S. Kawaguchi}, Am. J. Math. 130, No. 1, 159--186 (2008; Zbl 1144.14019) Full Text: DOI arXiv
Ma, Xiaonan; Zhang, Weiping Eta-invariants, torsion forms and flat vector bundles. (English) Zbl 1133.58015 Math. Ann. 340, No. 3, 569-624 (2008). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J28 57R20 14G40 58J35 14C40 PDFBibTeX XMLCite \textit{X. Ma} and \textit{W. Zhang}, Math. Ann. 340, No. 3, 569--624 (2008; Zbl 1133.58015) Full Text: DOI arXiv
Vasiu, Adrian Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type. arXiv:0811.2970 Preprint, arXiv:0811.2970 [math.NT] (2008). MSC: 11G10 11G18 14F30 14G35 14G40 14K10 14J10 BibTeX Cite \textit{A. Vasiu}, ``Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type'', Preprint, arXiv:0811.2970 [math.NT] (2008) Full Text: arXiv OA License
Rössler, Damian On the \(p\)-adic distance between a point of finite order and a curve of genus higher or equal to two. arXiv:0804.3747 Preprint, arXiv:0804.3747 [math.AG] (2008). MSC: 14G40 BibTeX Cite \textit{D. Rössler}, ``On the $p$-adic distance between a point of finite order and a curve of genus higher or equal to two'', Preprint, arXiv:0804.3747 [math.AG] (2008) Full Text: arXiv OA License