Heights of hypersurfaces and Igusa's zeta-functions

DOI10.1006/jnth.1999.2490zbMath1001.11027OpenAlexW1979226482MaRDI QIDQ1581871

Vincent Maillot, Julien Cassaigne

Publication date: 21 February 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2490

zbMATH Keywords

heighthypersurfaceIgusa's zeta functionGrassmann hypersurfacereal local zeta function

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Heights (11G50) Prehomogeneous vector spaces (11S90) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (7)

Special zeta Mahler functions ⋮ On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant ⋮ Heights of hypersurfaces in toric varieties ⋮ A note on the stability of local zeta functions ⋮ Local zeta functions, pseudodifferential operators and Sobolev-type spaces over non-Archimedean local fields ⋮ Height of toric subschemes and Legendre-Fenchel duality ⋮ Green currents and analytic continuation

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