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- W1537574101 abstract "This chapter discusses a basic fibration as a Weierstrass model and the study of elliptic three-folds with a section. It presents the assumption that X is a complex variety. An open subset U of X is called a Zanski open set if X U is a proper analytic subset of X . U is called big if U is Zariski open and codim( X U ) > 2. An elliptic fibration π: X → S is defined to be a proper surjective morphism with connected fibers between normal complex varieties X and S whose general fibers are nonsingular elliptic curves. If D is an effective Cartier divisor on a variety X , then a defining equation v of D is a section v ∈ Γ ( X 1 O X ( D )) such that div(v ) = D. The chapter also discusses elementary properties and elliptic fibrations." @default.
- W1537574101 created "2016-06-24" @default.
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- W1537574101 date "1988-01-01" @default.
- W1537574101 modified "2023-09-30" @default.
- W1537574101 title "On Weierstrass Models" @default.
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- W1537574101 doi "https://doi.org/10.1016/b978-0-12-348032-3.50004-9" @default.
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