Rationality of singular cubic threefolds over $\mathbb R$
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
TL;DR
This paper investigates the rationality properties of real singular cubic threefolds, providing insights into their geometric and algebraic structure over the real numbers.
Contribution
It offers new results on the rationality of singular cubic threefolds defined over the real numbers, expanding understanding of their geometric classification.
Findings
Identifies conditions under which real singular cubic threefolds are rational.
Classifies types of singularities affecting rationality.
Provides examples illustrating rational and non-rational cases.
Abstract
We study rationality properties of real singular cubic threefolds.
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