Zero cycles in Pn
نویسندگان
چکیده
منابع مشابه
Specialization of Zero Cycles
Let X be a proper scheme over a field K. There are two ways of organizing the points of X into equivalence classes using rational curves. One is the notion of R-equivalence introduced by [Manin72]. Two points x1, x2 ∈ X(K) are called directly R-equivalent if there is a morphism p : P → X with p(0:1) = x1 and p(1:0) = x2. This generates an equivalence relation called R-equivalence. The set of R-...
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Let H be an m × n real matrix and let Zi be the set of column indices of the zero entries of row i of H. Then the conditions |Zk ∩ ∪k−1 i 1 Zi | ≤ 1 for all k 2 ≤ k ≤ m are called the row Zero Position Conditions ZPCs . If H satisfies the ZPC, then H is said to be a row ZPC matrix. If H satisfies the ZPC, thenH is said to be a column ZPCmatrix. The real matrixH is said to have a zero cycle if H...
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We compare two known definitions for a relative family of effective zero cycles, based on traces and norms of functions, respectively. In characteristic zero we show that both definitions agree. In the general setting, we show that the norm map on functions can be expanded to a norm functor between certain categories of line bundles, therefore giving a third approach to families of zero cycles.
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Introduction. The main object of study in this paper with respect to zero-cycles is a special class of Hilbert-Blumenthal surfacesX, which are defined overQ as smooth compactifications of quasi-projective varieties S/Q, more precisely, of coarse moduli schemes S that represent the moduli stack of polarized abelian surfaces with real multiplication by the ring of integers in a real quadratic fie...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1991
ISSN: 0001-8708
DOI: 10.1016/0001-8708(91)90079-m