On rational varieties of small degree
Davide Fusi
TL;DR
This paper strengthens a criterion for rationality of algebraic varieties, introduces a new invariant called rationality degree, and classifies rational varieties with small invariant values.
Contribution
It provides a stronger rationality criterion, defines the rationality degree invariant, and classifies rational varieties for small degrees.
Findings
Established a stronger rationality criterion.
Introduced the invariant called rationality degree.
Classified rational varieties with small rationality degree.
Abstract
We prove a stronger version of a criterion of rationality given by Ionescu and Russo. We use this stronger version to define an invariant for rational varieties (we call it rationality degree), and we classify rational varieties for small values of the invariant.
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Taxonomy
TopicsTensor decomposition and applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation