Generalized heights for arithmetic surfaces

DOI10.1007/BF01273347zbMath0883.14010OpenAlexW2070654548MaRDI QIDQ1924595

Yuichiro Takeda, Tohru Nakashima

Publication date: 15 March 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01273347

zbMATH Keywords

semi-stable vector bundlenormalized heightregular arithmetic variety

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)] Vector bundles on curves and their moduli (14H60) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Unnamed Item
• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Hilbert stability of rank-two bundles on curves
• Arithmetic intersection theory
• Normal generation of vector bundles over a curve
• Inequality of Bogomolov-Gieseker type on arithmetic surfaces
• Faltings modular height and self-intersection of dualizing sheaf
• Intrinsic heights of stable varieties and abelian varieties

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