Nonsingular retract rational varieties are uniformly retract rational, implying rational projective complex varieties are algebraically elliptic.
Relative Stone-Weierstrass theorem for mappings between varieties
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We introduce a class of real algebraic varieties characterised by a simple rationality condition, which exhibit strong properties regarding approximation of continuous and smooth mappings by regular ones. They form a natural counterpart to the classes of malleable and quasi-malleable varieties. The approximation property studied here is stronger than those considered before and allows us to deduce non-trivial facts about extensions of regular mappings between varieties.
fields
math.AG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Retract rational varieties are uniformly retract rational
Nonsingular retract rational varieties are uniformly retract rational, implying rational projective complex varieties are algebraically elliptic.