Hilbert polynomials and powers of ideals
نویسندگان
چکیده
منابع مشابه
Strongly stable ideals and Hilbert polynomials
Strongly stable ideals are a key tool in commutative algebra and algebraic geometry. These ideals have nice combinatorial properties that makes them well suited for both theoretical and computational applications. In the case of polynomial rings with coefficients in a field with characteristic zero, the notion of strongly stable ideals coincides with the notion of Borel-fixed ideals. Ideals of ...
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We develop tools to study the problem of containment of symbolic powers I(m) in powers I for a homogeneous ideal I in a polynomial ring k[P ] in N + 1 variables over an arbitrary algebraically closed field k. We obtain results on the structure of the set of pairs (r, m) such that I(m) ⊆ I. As corollaries, we show that I2 contains I(3) whenever S is a finite generic set of points in P2 (thereby ...
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in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولKrs and Powers of Determinantal Ideals
The goal of this paper is to determine Gröbner bases of powers of determinantal ideals and to show that the Rees algebras of (products of) determinantal ideals are normal and CohenMacaulay if the characteristic of the base field is non-exceptional. Our main combinatorial result is a generalization of Schensted’s Theorem on the Knuth–Robinson–Schensted correspondence. Mathematics Subject Classif...
متن کاملHilbert functions and lex ideals
We study Hilbert functions of graded ideals using lex ideals.
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2008
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004108001540