Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

DOI10.1090/tran/6787zbMath1360.14079arXiv1205.3274OpenAlexW1529695076MaRDI QIDQ5506660

Ulf Kühn, Jan Steffen Müller

Publication date: 13 December 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3274

zbMATH Keywords

Fermat curvesarithmetic surfacesself-intersection numberrelative dualizing sheaves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (6)

Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves ⋮ The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf ⋮ Admissible invariants of genus 3 curves ⋮ Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\) ⋮ Bounds for canonical Green's function at cusps ⋮ Semi-stable models of modular curves \(X_0(p^2)\) and some arithmetic applications

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