The asymptotic behaviour of symbolic generic initial systems of points in general position
Abstract
Consider the ideal I corresponding to r points in P2. We study the symbolic generic initial system of I, formed by taking the generic initial ideals of the symbolic powers of I, and its asymptotic behaviour. In particular, we describe the limiting shape of this system explicitly when the points lie in general position using the SHGH Conjecture for more than eight points. The symbolic generic initial system and its limiting shape reflects information about the Hilbert functions of uniform fat point ideals.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.