Random surfaces enumerating algebraic curves
Andrei Okounkov
TL;DR
This paper discusses the enumeration of algebraic curves using random surfaces, providing insights into their mathematical properties and connections.
Contribution
Introduces a novel approach to counting algebraic curves through the framework of random surfaces, expanding existing enumerative geometry methods.
Findings
Established new enumeration formulas for algebraic curves
Linked random surface models to algebraic geometry
Provided computational techniques for curve counting
Abstract
These are notes from my lecture at 4ECM in Stockholm (June 2004).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Topological and Geometric Data Analysis