منابع مشابه
Ideals of Adjacent Minors
We give a description of the minimal primes of the ideal generated by the 2×2 adjacent minors of a generic matrix. We also compute the complete prime decomposition of the ideal of adjacent m×m minors of an m×n generic matrix when the characteristic of the ground field is zero. A key intermediate result is the proof that the ideals which appear as minimal primes are, in fact, prime ideals. This ...
متن کاملIdeals of Minors in Free Resolutions
It is interesting to ask how the invariants of the maps i, such as the ideal Ij(bi) generated by the j x j minors of q, reflect the properties of M. For example, it is not hard to show (see Buchsbaum-Eisenbud [4]) that if the grade of M is g (that is, g is the length of a maximal regular sequence contained in J) and r is the rank of the map b (that is, the size of the largest nonvanishing minor...
متن کاملOn Ideals of Minors of Matrices with Indeterminate Entries
This paper has two aims. The first is to study ideals of minors of matrices whose entries are among the variables of a polynomial ring. Specifically, we describe matrices whose ideals of minors of a given size are prime. The “generic” case, where all the entries are distinct variables has been studied extensively (cf. [1] and [2] for a thorough account.) While some special cases, such as catale...
متن کاملProducts of Borel fixed ideals of maximal minors
Article history: Received 21 March 2017 Received in revised form 3 April 2017 Accepted 19 May 2017 Available online xxxx MSC: 13D15 13F50 14M12
متن کاملHEIGHTS OF IDEALS OF MINORS By DAVID EISENBUD, CRAIG HUNEKE, and BERND ULRICH
We prove new height inequalities for determinantal ideals in a regular local ring, or more generally in a local ring of given embedding codimension. Our theorems extend and sharpen results of Faltings and Bruns. Introduction. Let φ be a map of vector bundles on a variety X. A wellknown theorem of Eagon and Northcott [EN] gives an upper bound for the codimension of the locus where φ has rank ≤ s...
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: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.01.027