Symmetric powers of Severi-Brauer varieties
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper classifies products of symmetric powers of Severi-Brauer varieties, including Grassmannians and moduli spaces, up to stable birational equivalence, providing a comprehensive understanding of their structure.
Contribution
It offers a classification of these products up to stable birational equivalence, extending to Grassmannians and moduli spaces of genus 0 stable maps.
Findings
Classification of products of symmetric powers of Severi-Brauer varieties
Inclusion of Grassmannians and moduli spaces in the classification
Results applicable up to stable birational equivalence
Abstract
We classify products of symmetric powers of a Severi-Brauer variety, up-to stable birational equivalence. The description also includes Grassmannians and moduli spaces of genus 0 stable maps.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Historical Studies and Socio-cultural Analysis