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de Jong, Robin; Shokrieh, Farbod

Jumps in the height of the Ceresa cycle. (English) Zbl 07822937

J. Differ. Geom. 126, No. 1, 169-214 (2024).

MSC: 14C30 14D07 14H15 32G20

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Richman, David Harry

The distribution of Weierstrass points on a tropical curve. (English) Zbl 1539.14136

Sel. Math., New Ser. 30, No. 2, Paper No. 31, 48 p. (2024).

Reviewer: Felix Röhrle (Frankfurt am Main)

MSC: 14T15 14T20 14H55 60B10 94C05

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Asymptotic behavior of the Zhang-Kawazumi’s \(\varphi\)-invariants. (English) Zbl 07797711

Adv. Math. 435, Part A, Article ID 109349, 45 p. (2023).

MSC: 14Hxx 14Gxx 11Gxx

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de Jong, Robin; Shokrieh, Farbod

Tropical moments of tropical Jacobians. (English) Zbl 1520.14114

Can. J. Math. 75, No. 4, 1045-1075 (2023).

Reviewer: Guoquan Gao (Beijing)

MSC: 14T15 14G40 11G50 94C05 52C45

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Balakrishnan, Jennifer S.; Dogra, Netan; Müller, J. Steffen; Tuitman, Jan; Vonk, Jan

Quadratic Chabauty for modular curves: algorithms and examples. (English) Zbl 1529.11080

Compos. Math. 159, No. 6, 1111-1152 (2023).

Reviewer: Noriko Yui (Kingston)

MSC: 11G18 11G50 11Y50 14G05

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de Jong, Robin; Shokrieh, Farbod

Metric graphs, cross ratios, and Rayleigh’s laws. (English) Zbl 1507.05094

Rocky Mt. J. Math. 52, No. 4, 1403-1422 (2022).

MSC: 05C90 05C12 05C50 05C82 14T15 35J05 94C05

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Jespers, Michiel; De Jong, Robin

Chern-Weil theory for line bundles with the family Arakelov metric. (English) Zbl 1443.14011

Mich. Math. J. 69, No. 1, 3-40 (2020).

Reviewer: Ana María Botero (Regensburg)

MSC: 14D05 14D06 14E05 14G40 32C30 32A25 32A27

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Burdzy, Krzysztof; Pal, Soumik

Floodings of metric graphs. (English) Zbl 1441.60009

Probab. Theory Relat. Fields 177, No. 1-2, 577-620 (2020).

Reviewer: Yilun Shang (Newcastle)

MSC: 60C05 60F10 05C80

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Okuyama, Yûsuke

Geometric formulas on Rumely’s weight function and crucial measure in non-archimedean dynamics. (English) Zbl 1471.37086

Math. Ann. 376, No. 3-4, 913-956 (2020).

MSC: 37P50 37P05 11S82

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Gubler, Walter; Künnemann, Klaus

Positivity properties of metrics and delta-forms. (English) Zbl 1476.14052

J. Reine Angew. Math. 752, 141-177 (2019).

Reviewer: Jérôme Poineau (Caen)

MSC: 14G22 32U05

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Shokrieh, Farbod; Wu, Chenxi

Canonical measures on metric graphs and a Kazhdan’s theorem. (English) Zbl 1440.14284

Invent. Math. 215, No. 3, 819-862 (2019).

MSC: 14T25 05C12 05C63 14H30 20F65 57M60

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On the height of Gross-Schoen cycles in genus three. (English) Zbl 1444.11145

Res. Number Theory 4, No. 4, Paper No. 38, 25 p. (2018).

MSC: 11G50 14G40 14H25

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Jacobs, Kenneth S.

Quantitative logarithmic equidistribution of the crucial measures. (English) Zbl 1441.37104

Res. Number Theory 4, No. 1, Paper No. 10, 32 p. (2018).

MSC: 37P05 11S82

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Green’s functions on Mumford curves. (English) Zbl 1401.11106

Math. Ann. 370, No. 3-4, 1571-1605 (2018).

Reviewer: Ernst-Ulrich Gekeler (Saarbrücken)

MSC: 11G09 11F52 14H25 14H55 31C12

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Néron-Tate heights of cycles on Jacobians. (English) Zbl 1388.14032

J. Algebr. Geom. 27, No. 2, 339-381 (2018).

Reviewer: Fumio Hazama (Hatoyama)

MSC: 14C25 14H40

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Jacobs, Kenneth

Equidistribution of the crucial measures in non-Archimedean dynamics. (English) Zbl 1391.37087

J. Number Theory 180, 86-138 (2017).

MSC: 37P50 37P30 37P05 11S82

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A new equivariant in nonarchimedean dynamics. (English) Zbl 1392.37119

Algebra Number Theory 11, No. 4, 841-884 (2017).

MSC: 37P50 11S82 37P05

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Kühn, Ulf; Müller, J. Steffen

Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces. (English) Zbl 1360.14079

Trans. Am. Math. Soc. 369, No. 3, 1869-1894 (2017).

Reviewer: Yu Yasufuku (Tokyo)

MSC: 14G40 11G50 11G30 14H25

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Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros). (English) Zbl 1349.14100

Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 1-30 (2016).

MSC: 14G22 14T05

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Cinkir, Zubeyir

Families of metrized graphs with small tau constants. (English) Zbl 1339.05224

Ann. Comb. 20, No. 2, 317-344 (2016).

MSC: 05C50 94C99 05C12 05C99

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Mohammadi, Fatemeh; Shokrieh, Farbod

Divisors on graphs, binomial and monomial ideals, and cellular resolutions. (English) Zbl 1336.05060

Math. Z. 283, No. 1-2, 59-102 (2016).

MSC: 05C25 05B35

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Cinkir, Zubeyir

Computation of polarized metrized graph invariants by using discrete Laplacian matrix. (English) Zbl 1320.05071

Math. Comput. 84, No. 296, 2953-2967 (2015).

MSC: 05C50 05C85 05C12 14G40 90C35 94C15 11G50 11G35 11G30

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Amini, Omid; Baker, Matthew

Linear series on metrized complexes of algebraic curves. (English) Zbl 1355.14007

Math. Ann. 362, No. 1-2, 55-106 (2015).

MSC: 14C20 14H10

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Cinkir, Zubeyir

The tau constant and the discrete Laplacian matrix of a metrized graph. (English) Zbl 1226.05153

Eur. J. Comb. 32, No. 4, 639-655 (2011).

MSC: 05C50

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Cinkir, Zubeyir

Zhang’s conjecture and the effective Bogomolov conjecture over function fields. (English) Zbl 1285.14029

Invent. Math. 183, No. 3, 517-562 (2011).

Reviewer: Shun Tang (Beijing)

MSC: 14G40 14G25 14H05 14H25

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Gross-Schoen cycles and dualising sheaves. (English) Zbl 1193.14031

Invent. Math. 179, No. 1, 1-73 (2010).

Reviewer: Takao Yamazaki (Tohoku)

MSC: 14G40 11G50

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Baker, Matthew H.; Rumely, Robert

Equidistribution of small points, rational dynamics, and potential theory. (English) Zbl 1234.11082

Ann. Inst. Fourier 56, No. 3, 625-688 (2006).

MSC: 11G50 37P50 37A45 31C15

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Local and canonical heights of subvarieties. (English) Zbl 1170.14303

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 4, 711-760 (2003).

MSC: 14G40 11G50 14G22

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Admissible pairing on a curve. (English) Zbl 0795.14015

Invent. Math. 112, No. 1, 171-193 (1993).

MSC: 14H25 14G40 14G20 14G25

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Harbater, David

Arithmetic discriminants and horizontal intersections. (English) Zbl 0724.14015

Math. Ann. 291, No. 4, 705-724 (1991).

Reviewer: D.Harbater (Philadelphia)

MSC: 14G40 14C20 14C17 14G25 14G20

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