Jet schemes, arc spaces and the Nash problem
Shihoko Ishii
TL;DR
This paper introduces jet schemes and arc spaces of algebraic varieties, and discusses the Nash problem related to arc families, providing foundational insights into their structure and significance.
Contribution
It presents an introductory overview of jet schemes, arc spaces, and the Nash problem, highlighting their roles in algebraic geometry.
Findings
Provides foundational definitions and concepts
Explores the structure of arc spaces and jet schemes
Introduces the Nash problem and its significance
Abstract
This paper is an introduction to the jet schemes and the arc space of an algebraic variety. We also introduce the Nash problem on arc families.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications