Twisted linear actions on projective spaces
نویسندگان
چکیده
منابع مشابه
Moduli Spaces of Twisted Sheaves on a Projective Variety
Let X be a smooth projective variety over C. Let α := {αijk ∈ H(Ui ∩ Uj ∩ Uk,O X)} be a 2-cocycle representing a torsion class [α] ∈ H2(X,O X). An α-twisted sheaf E := {(Ei, φij)} is a collection of sheaves Ei on Ui and isomorphisms φij : Ei|Ui∩Uj → Ej|Ui∩Uj such that φii = idEi , φji = φ ij and φki ◦ φjk ◦ φij = αijk idEi . We assume that there is a locally free α-twisted sheaf, that is, α giv...
متن کاملLinear codes from projective spaces
The linear code Cs,t(n, q) of s-spaces and t-spaces in a projective space PG(n, q), q = ph, p prime, is defined as the vector space spanned over Fp by the rows of the incidence matrix of s-spaces and t-spaces. This code generalises the code of points and lines in a projective plane, which has been intensively studied since the 1970’s. In this paper, we give an overview of what is currently know...
متن کاملTwisted Projective Spaces and Linear Completions of some Partial Steiner Triple Systems
A class of Steiner triple systems is characterized. Each one is obtained as a linear completion of some ( 154 203 ) multiveblen configurations and it contains some Fano planes. MSC 2000: 51E14, 51E30
متن کاملLinear Spaces and Partitioning the Projective Plane
The aim of this paper is to settle a question about the partitioning of the projective plane by lines except for a small set. Suppose that Q is a set of points in the projective plane of order n and 6 is a set of lines that partitions the complement of Q. If Q has at most 2n&1 points and P has less than n+1+n lines, then these lines are concurrent. An example is given which shows that the condi...
متن کاملFinite linear spaces and projective planes
In 1948, De Bruijn and Erdös proved that a finite linear space on v points has at least v lines, with equality occurring if and only if the space is either a near-pencil (all points but one collinear) or a projective plane . In this paper, we study finite linear spaces which are not near-pencils . We obtain a lower bound for the number of lines (as a function of the number of points) for such l...
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: Hokkaido Mathematical Journal
سال: 1989
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381517726