Document Type
Lecture
Publication Date
11-13-2009
Abstract
The multiplicity of a root of a polynomial equals its order of vanishing. A point on an algebraic variety is a solution to a system of polynomial equations. For such a point, how is its multiplicity defined? We will discuss some of the historical approaches to this question. In relation to this, we will present a new multiplicity, called Hilbert-Kunz multiplicity, and discuss some open problems related to it that have algebraic-geometric as well as number-theoretical flavor.
Relational Format
presentation
Recommended Citation
Enescu, Florian, "Multiplicity in algebra and geometry" (2009). Colloquium. 45.
https://egrove.olemiss.edu/math_colloquium/45
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