Log Structures on Generalized Semi-Stable Varieties
نویسندگان
چکیده
منابع مشابه
Log Structures on Generalized Semi-Stable Varieties
In this paper we study the log structures on generalized semistable varieties, generalize the result by F. Kato and M. Olsson, and prove the canonicity of log structure when it can be expected. In out text we first give the definitions of local chart and weakly normal crossing morphism. Then we study the invariants of complete noetherian local ring coming from weakly normal crossing morphisms. ...
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Fix a morphism of schemes f : X → S which is flat, proper, and “fiber-by-fiber semi-stable”. Let IV LS be the functor on the category of log schemes over S which to any T associates the isomorphism classes of pairs (MX , f), where MX is a log structure on X×S T and f : pr∗ 2MT →MX is a morphism of log structures making (X×S T ,MX)→ T a log smooth, integral, and vertical morphism. The main resul...
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Let K be a number field and OK its ring of integers. Let E be an OK-module of rank N + 1 in P(E), the projective space representing lines in E. For all closed subvarieties X ⊆ P(E K) of dimension d let deg(X) be its degree with respect to the canonical line bundle O(1) of P(E K). If E is endowed with the structure of hermitian vector bundle over Spec(OK) we can define the Arakelov degree d̂eg ( ...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2006
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-005-0854-4