Upper bounds of Hilbert coefficients and Hilbert functions
نویسندگان
چکیده
منابع مشابه
Upper Bounds of Hilbert Coefficients and Hilbert Functions
Abstract. Let (R,m) be a d-dimensional Cohen-Macaulay local ring. In this note we prove, in a very elementary way, an upper bound of the first normalized Hilbert coefficient of a mprimary ideal I ⊂ R that improves all known upper bounds unless for a finite number of cases, see Remark 1.3. We also provide new upper bounds of the Hilbert functions of I extending the known bounds for the maximal i...
متن کاملBounds on Hilbert Functions
This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectors of reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. In the second paper, we generalize the Green’s Hyperplane Restriction The...
متن کاملThe Gotzmann Coefficients of Hilbert Functions
Abstract. In this paper we investigate some algebraic and geometric consequences which arise from an extremal bound on the Hilbert function of the general hyperplane section of a variety (Green’s Hyperplane Restriction Theorem). These geometric consequences improve some results in this direction first given by Green and extend others by Bigatti, Geramita, and Migliore. Other applications of our...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
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 اولHilbert Transform and Gain/Phase Error Bounds for Rational Functions
It is well known that a function analytic in the right half plane can be constructed from its real part alone, or (modulo an additive constant) from its imaginary part alone via the Hilbert transform. It is also known that a stable minimum phase transfer function can be reconstructed from its gain alone, or (modulo a multiplicative constant) from its phase alone, via the Bode gain/phase relatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2008
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004108001138