A Rationality Problem of Some Cremona Transformation
Akinari Hoshi, Ming-chang Kang
TL;DR
This paper investigates the rationality of the function field in two variables under specific Cremona transformations, providing conditions under which the field remains rational.
Contribution
It establishes the rationality of the function field for certain Cremona transformations, a novel result in algebraic geometry.
Findings
Proves rationality under specified conditions
Identifies classes of Cremona transformations preserving rationality
Contributes to understanding of birational transformations
Abstract
We will show the rationality of the function field of two variables under certain Cremona transformation.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications · History and Theory of Mathematics