The Intersection Multiplicity of Intersection Points over Algebraic Curves

نویسندگان

چکیده

In analytic geometry, Bézout’s theorem stated the number of intersection points two algebraic curves and Fulton introduced multiplicity at some point in local case. It is meaningful to give exact expression point. this paper, we mainly express R 2 id="M2"> mathvariant="double-struck">A K under fold point, where id="M3"> char = 0 . First, a sufficient necessary condition for coincidence smallest degree terms these id="M4"> Furthermore, show that different definitions id="M5"> are equivalent then id="M6">

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Intersection Local Time for Points of Infinite Multiplicity

then we might say that “Brownian motion X spends a units of local time at x.” Note that the normalization in (1.1) is different from that used in the definition of the local time for 1-dimensional Brownian motion. One of the things we will show is that points x with the property (1.1) do exist for some a. Let Dim(A) denote the Hausdorff dimension of the set A. The carrying dimension of a measur...

متن کامل

Multiplicity of a Noetherian Intersection

A differential ring of analytic functions in several complex variables is called a ring of Noetherian functions if it is finitely generated as a ring and contains the ring of all polynomials. In this paper, we give an effective bound on the multiplicity of an isolated solution of a system of n equations fi = 0 where fi belong to a ring of Noetherian functions in n complex variables. In the one-...

متن کامل

Intersection Multiplicity on Blow-ups

A conjecture on vanishing and non-negativity of intersection multiplicity on the blow-up of a regular local ring at its closed point has been proposed. Proofs of vanishing, several special cases of non-negativity and a sufficient condition for non-negativity of this conjecture are described. The topic on intersection multiplicity on vector bundles is also addressed. Introduction. Let X be a reg...

متن کامل

Intersection patterns of curves

We prove that for every k ∈ N there is a constant ck > 0 with the following property. Every set of n > 1 continuous curves in the plane, any pair of which intersect in at most k points, has two disjoint subsets A and B, each of size at least ckn, such that either every curve in A intersects all curves in B, or no curve in A intersects any curve in B. This statement does not remain true if we dr...

متن کامل

Tropical complete intersection curves

A tropical complete intersection curve C ⊆ Rn+1 is a transversal intersection of n smooth tropical hypersurfaces. We give a formula for the number of vertices of C given by the degrees of the tropical hypersurfaces. We also compute the genus of C (defined as the number of independent cycles of C) when C is smooth and connected. 1 Notation and definitions We work over the tropical semifield Rtr=...

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: International Journal of Mathematics and Mathematical Sciences

سال: 2023

ISSN: ['1687-0425', '0161-1712']

DOI: https://doi.org/10.1155/2023/6346685