منابع مشابه
On toric varieties which are almost set-theoretic complete intersections
We describe a class of affine toric varieties V that are set-theoretically minimally defined by codimV + 1 binomial equations over fields of any characteristic.
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Using arithmetic conditions on affine semigroups we prove that for a simplicial toric variety of codimension 2 the property of being a set-theoretic complete intersection on binomials in characteristic p holds either for all primes p, or for no prime p, or for exactly one prime p.
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Let S be a set of n elements, and let H be a set-system on S, which satisses that the size of any element of H is divisible by m, but the intersection of any two elements of H is not divisible by m. If m is a prime or prime-power, then the famous Frankl{Wilson theorem 3] implies that jHj = O(n m?1), i.e. for xed m, its size is at most polynomial in n. This theorem has numerous applications in c...
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We prove a version of the Ray-Chaudhuri–Wilson and Frankl–Wilson theorems for k-wise intersections and also generalize a classical code-theoretic result of Delsarte for k-wise Hamming distances. A set of code-words a; a; . . . ; ak of length n have k-wise Hamming-distance ‘; if there are exactly ‘ such coordinates, where not all of their coordinates coincide (alternatively, exactly n ‘ of their...
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When analyzing a large amount of data, analysts often define groups over data elements that share certain properties. Using these groups as the unit of analysis not only reduces the data volume, but also allows detecting various patterns in the data. This involves analyzing intersection relations between these groups, and how the element attributes vary between these intersections. This kind of...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1980
ISSN: 0097-3165
DOI: 10.1016/0097-3165(80)90063-1