Normal Quintic Surfaces which are Birationally Enriques Surfaces | Zendy

Yumiko Umezu | Zendy

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Normal Quintic Surfaces which are Birationally Enriques Surfaces

Author(s) -

Yumiko Umezu

Publication year - 1997

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195145320

Subject(s) - mathematics , algebraically closed field , rational surface , quintic function , surface (topology) , morphism , pure mathematics , degree (music) , algebraic surface , mathematical analysis , geometry , physics , quantum mechanics , nonlinear system , plasma , acoustics , algebraic number

Let S be an Enriques surface over an algebraically closed field k of characteristic ^2. Then, equivalently, S is a non-singular projective surface with q(S)=pg(S) = Q and 2KS^Q. It is known (cf. Cossec [Co]) that every Enriques surface admits a morphism of degree one onto a surface of degree 10 in P with isolated rational double points, and also that every Enriques surface is birationally equivalent to a (non-normal) sextic surface in P. Then there arises the following problem:

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