Koszul Complexes and Hyperdeterminants

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Generalized Koszul Complexes

This article should be viewed as a survey of generalized Koszul complexes and Koszul bicomplexes with an application to generalized Koszul complexes in projective dimension one. We shall try to give detailed information on the basic definitions and a summary of the main results. Concerning proofs the reader is invited to have a look into [I] or [IV]. Introduction. We start with the following qu...

متن کامل

A Remark on Koszul Complexes

j j mj m b mj mi for all m mi M When M is a nite free R module then the vanishing of the homology of K is determined by the grade g of the ideal Im one hasHj K for j n g n and Hn g K Giving a linear form on a nite free R module of rank n is equivalent to specifying a sequence a an of elements of R If M is not a free R module then the picture changes drastically In this note we investigate the s...

متن کامل

Computing the Homology of Koszul Complexes

Let R be a commutative ring and I an ideal in R which is locally generated by a regular sequence of length d. Then, each f. g. projective R/I-module V has an Rprojective resolution P. of length d. In this paper, we compute the homology of the n-th Koszul complex associated with the homomorphism P1 → P0 for all n ≥ 1, if d = 1. This computation yields a new proof of the classical Adams-Riemann-R...

متن کامل

Castelnuovo-mumford Regularity for Complexes and Weakly Koszul Modules

Let A be a noetherian AS regular Koszul quiver algebra (if A is commutative, it is essentially a polynomial ring), and grA the category of finitely generated graded left A-modules. Following Jørgensen, we define the CastelnuovoMumford regularity reg(M•) of a complex M• ∈ D(grA) in terms of the local cohomologies or the minimal projective resolution of M•. Let A be the quadratic dual ring of A. ...

متن کامل

Constructible Sheaves on Simplicial Complexes and Koszul Duality

We obtain a linear algebra data presentation of the category Sh c (X,δ) of constructible with respect to perverse triangulation sheaves on a finite simplicial complex X. We also establish Koszul duality between Sh c (X, δ) and the category Mc(X, δ) of perverse sheaves constructible with respect to the triangulation

متن کامل

ذخیره 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: 2000

ISSN: 0021-8693

DOI: 10.1006/jabr.1999.7646