Differential Operators on Hyperplane Arrangements
نویسندگان
چکیده
منابع مشابه
On Zones of Flats in Hyperplane Arrangements
Let H be a set of n hyperplanes in R d , let A(H) be its arrangement, and let b be an m-dimensional at. The zone of b in the arrangement A(H) is the set of open d-dimensional cells of A(H) which are intersected by b. We prove that the maximum number of incidences of k-cofaces of the arrangement with cells of the zone is O(n minfk+m;b d+m 2 cg k;d;m (n)), where k;d;m (n) = log n ifm 1, d+m is od...
متن کاملComplex Hyperplane Arrangements
We were fortunate to spend the 2004 fall semester in residence at MSRI, participating in the program on Hyperplane Arrangements and Applications. It was an intense, stimulating, productive, enlightening, eventful and most enjoyable experience. It was especially so for us long-timers in the field because the program truly marked a coming-of-age in the evolution of the subject from relative obscu...
متن کاملFunctions of random walks on hyperplane arrangements
Article history: Received 14 December 2009 Accepted 5 February 2010 Available online 24 March 2010 MSC: primary 60J10 secondary 52C35
متن کاملOn Cell Complexities in Hyperplane Arrangements
Let H be a collection of n hyperplanes in d-space. We will assume that the planes are in general position, meaning that any k planes meet in a d− k-flat, if k = 1, . . . , d, and not at all if k > d. It is not difficult to see that worst-case cell complexity can always be achieved by planes in general position. Let P be a set of m points, not lying on any hyperplane. Denote by K (d) j (P,H) the...
متن کاملHodge Spectrum of Hyperplane Arrangements
In this article there are two main results. The first result gives a formula, in terms of a log resolution, for the graded pieces of the Hodge filtration on the cohomology of a unitary local system of rank one on the complement of an arbitrary divisor in a smooth projective complex variety. The second result is an application of the first. We give a combinatorial formula for the spectrum of a h...
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: Communications in Algebra
سال: 2004
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120037213