منابع مشابه
Schläfli numbers and reduction formula
We define so-called poset-polynomials of a graded poset and use it to give an explicit and general description of the combinatorial numbers in Schläfli’s (combinatorial) reduction formula. For simplicial and simple polytopes these combinatorial numbers can be written as functions of the numbers of faces of the polytope and the tangent numbers. We use the constructed formulas to determine the vo...
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We show that the holomorphic Morse inequalities proved by Tian and the author [TZ1, 2] are in effect equalities by refining the analytic arguments in [TZ1, 2]. §0. Introduction and the statement of main results Let (M,ω, J) be a compact Kähler manifold with the Kähler form ω and the complex structure J . Let g denote the corresponding Kähler metric. We make the assumption that there exists a He...
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متن کاملChow groups of quadrics and index reduction formula
We show that the Chow group Ch of a non-singular projective quadric has no torsion if dimension of the quadric is greater than 10 (while a non-trivial torsion appears for a certain 10-dimensional quadric over a suitable field). We apply the same method (based on an index reduction formula) to Ch too and show that it is torsionfree if dimension of the quadric is greater than 22. Let F be a field...
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There is a well-known classical reduction formula by Griffiths and Harris for Littlewood-Richardson coefficients, which reduces one part from each partition. In this article, we consider an extension of the reduction formula reducing two parts from each partition. This extension is a special case of the factorization theorem of Littlewood-Richardson coefficients by King, Tollu, and Toumazet (th...
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ژورنال
عنوان ژورنال: Proceedings of the Glasgow Mathematical Association
سال: 1954
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500033037