SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE
نویسندگان
چکیده
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.
متن کاملSET-THEORETIC COMPLETE INTERSECTIONS IN CHARACTERISTIC p
We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic p.
متن کاملOn Binomial Set-Theoretic Complete Intersections in Characteristic p
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.
متن کاملComplete Intersections in Toric Ideals
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.
متن کاملAlmost set-theoretic complete intersections in characteristic zero
We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations .
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ژورنال
عنوان ژورنال: Pesquimat
سال: 2014
ISSN: 1609-8439,1560-912X
DOI: 10.15381/pes.v3i2.9245