Points in generic position and conductor of varieties with ordinary multiple subvarieties of codimension one
نویسندگان
چکیده
منابع مشابه
Points in Generic Position and Conductor of Varieties with Ordinary Multiple Subvarieties of Codimension One
We extend results of our previous papers, on ordinary multiple points of curves [9], and on the computation of their conductor [8], to ordinary multiple subvarieties of codimension one.
متن کاملOrdinary Subvarieties of Codimension One
In this paper we extend the properties of ordinary points of curves [10] to ordinary closed points of one-dimensional affine reduced schemes and then to ordinary subvarieties of codimension one.
متن کاملOrdinary holomorphic webs of codimension one
To any d-web of codimension one on a holomorphic n-dimensional manifold M (d > n), we associate an analytic subset S of M . We call ordinary the webs for which S has a dimension at most n− 1 or is empty. This condition is generically satisfied. We prove that the rank of a ordinary d-web has an upper-bound π′(n, d) which, for n ≥ 3, is strictly smaller than the bound π(n, d) of Castelnuovo. This...
متن کاملSubcanonicity of Codimension Two Subvarieties
We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre’s construction, Porteous formula and Hodge index theorem.
متن کاملGaussian Maps and Generic Vanishing I: Subvarieties of Abelian Varieties
We work with irreducible projective varieties on an algebraically closed field of any characteristic, henceforth called varieties. The contents of this paper are: (1) a general criterion expressing the vanishing of the higher cohomology of a line bundle on a Cohen-Macaulay variety in terms of a certain first-order conditions on hyperplane sections. Such conditions involve gaussian maps and the ...
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 Pure and Applied Algebra
سال: 1999
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(98)00046-2