Remarks on the existence of Cartier divisors
نویسندگان
چکیده
منابع مشابه
Remarks on the existence of Cartier divisors
We characterize those invertible sheaves on a noetherian scheme which are definable by Cartier divisors and correct an erroneous counterexample in the literature.
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Consider a local one-parameter family of Noetherian schemes. More precisely, let f : X → S be a flat map of Noetherian schemes, where S stands for the spectrum of a discrete valuation ring. Let s and η denote the special and generic points of S; putXs := f (s) andXη := f (η). Assume thatXs is of pure dimension and has no embedded components. Let D be an effective Cartier divisor of X. View it a...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2000
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s000130050470