Chow form for projective differential variety
نویسندگان
چکیده
منابع مشابه
Differential Chow Form for Projective Differential Variety
In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d > 0 and order h with a generic projective differential hyperplane is shown to be an irreducible projective differential variety of dimension d − 1 and order h. Based on the generic intersection theo...
متن کاملIntersection Theory for Generic Differential Polynomials and Differential Chow Form
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential hypersurface of order s is shown to be an irreducible variety of dimension d − 1 and order h + s. As a consequence, the dimension conjecture for generic differential polynomials is proved. Based on...
متن کاملThe Chow Form of the Essential Variety in Computer Vision
The Chow form of the essential variety in computer vision is calculated. Our derivation uses secant varieties, Ulrich sheaves and representation theory. Numerical experiments show that our formula can detect noisy point correspondences between two images.
متن کاملChow Quotients and Projective Bundle Formulas for Euler-chow Series
Given a projective algebraic variety X, let Πp(X) denote the monoid of effective algebraic equivalence classes of effective algebraic cycles on X. The p-th Euler-Chow series of X is an element in the formal monoid-ring Z[[Πp(X)]] defined in terms of Euler characteristics of the Chow varieties Cp,α (X) of X, with α ∈ Πp(X). We provide a systematic treatment of such series, and give projective bu...
متن کاملChow Flag Variety and Lawson Homology
The Chow flag varieties are introduced and studied. In a family of pure dimensional projective complex varieties defined via Chow flag varieties, the isomorphism type of Lawson homology of a general member in the family is discussed. Applications to morphic cohomology and motivic cohomology on smooth projective complex varieties are discussed.
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: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.07.047