An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
نویسندگان
چکیده
منابع مشابه
A SURFACE OVER Q WITH p g = q = 1 , K 2 = 2 AND MINIMAL PICARD NUMBER
Following an idea of Ishida, we develop polynomial equations for certain unramified double covers of surfaces with pg = q = 1 and K 2 = 2. Our first main result is to show the existence of a surface X with these invariants defined over Q that has the smallest possible Picard number ρ(X) = 2. This is done by giving equations for the double cover X̃ of X, calculating the zeta function of the reduc...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1979
ISSN: 0002-9327
DOI: 10.2307/2373947