Open AccessManin’s conjecture for a singular sextic del Pezzo surface
Author(s) -
Daniel Loughran
Publication year - 2010
Publication title -
journal de théorie des nombres de bordeaux
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.663
H-Index - 26
eISSN - 2118-8572
pISSN - 1246-7405
DOI - 10.5802/jtnb.739
Subject(s) - mathematics , conjecture , singularity , pure mathematics , meromorphic function , degree (music) , isolated singularity , riemann zeta function , mathematical analysis , physics , acoustics
We prove Manin's conjecture for a del Pezzo surface of degree six which hasone singularity of type $\mathbf{A}_2$. Moreover, we achieve a meromorphiccontinuation and explicit expression of the associated height zeta function.
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