Unramified cohomology, algebraic cycles and rationality
Stefan Schreieder
TL;DR
This survey explores unramified cohomology and its applications to rationality problems in algebraic geometry, highlighting recent developments and open questions.
Contribution
It provides a comprehensive overview of unramified cohomology and its role in understanding the rationality of algebraic varieties.
Findings
Unramified cohomology is a powerful tool in rationality problems.
Recent advances connect cohomological invariants to rationality criteria.
Open problems remain in characterizing rationality via cohomological methods.
Abstract
This is a survey on unramified cohomology with a view towards its applications to rationality problems.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Topics in Algebra · Advanced Combinatorial Mathematics