On Hodge theory for the generalized geometry (I)
نویسندگان
چکیده
منابع مشابه
Hodge Theory and Geometry
This expository paper is an expanded version of a talk given at the joint meeting of the Edinburgh and London Mathematical Societies in Edinburgh to celebrate the centenary of the birth of Sir William Hodge. In the talk the emphasis was on the relationship between Hodge theory and geometry, especially the study of algebraic cycles that was of such interest to Hodge. Special attention will be pl...
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Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N(X,Z) ⊂ H(X,Z) denote the group of curve classes modulo homological equivalence and the Néron-Severi group respectively. The monoids of effective classes in each group generate cones NE1(X) ⊂ N1(X,R) and NE(X) ⊂ N(X,R) with closures NE1(X) and NE 1 (X), the pseudoeffective cones. These play a central rôle in the birati...
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Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N(X,Z) ⊂ H(X,Z) denote the group of curve classes modulo homological equivalence and the Néron-Severi group respectively. The monoids of effective classes in each group generate cones NE1(X) ⊂ N1(X,R) and NE(X) ⊂ N(X,R) with closures NE1(X) and NE 1 (X), the pseudoeffective cones. These play a central rôle in the birati...
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The purpose of the present manuscript is to survey some of the main ideas that appear in recent research of the author on the topic of applying anabelian geometry to construct a “global multiplicative subspace”— i.e., an analogue of the well-known (local) multiplicative subspace of the Tate module of a degenerating elliptic curve. Such a global multiplicative subspace is necessary to apply the ...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2013
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2013.02.011