\(\Omega\)-admissible theory. II: Deligne pairings over moduli spaces of punctured Riemann surfaces

DOI10.1007/PL00004473zbMath1036.14013OpenAlexW1568017959MaRDI QIDQ5947131

Lin Weng

Publication date: 21 October 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004473

zbMATH Keywords

moduli spacesalgebraic curvesArakelov theoryDeligne pairingenumerative geometry of moduli spacesmoduli stackssingular surfaces

Mathematics Subject Classification ID

[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)] Riemann surfaces; Weierstrass points; gap sequences (14H55) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Families, moduli of curves (analytic) (14H15) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (9)

Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces ⋮ Riemann-Roch isometries in the non-compact orbifold setting ⋮ An explicit formula of the normalized Mumford form ⋮ The first Chern form on moduli of parabolic bundles ⋮ Cusps and the family hyperbolic metric ⋮ Deligne products of line bundles over moduli spaces of curves ⋮ The asymptotic behavior of the Takhtajan-Zograf metric ⋮ A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces ⋮ Chern-Simons invariant and Deligne-Riemann-Roch isomorphism

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