Last Updated:2025/12/04
Sentence

算術幾何学の研究では、フロベニウスの自己準同型が有限体上の代数多様体のコホモロジー群に作用し、それらのゼータ関数について深い情報を明らかにする。

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In the study of arithmetic geometry, Frobenius endomorphisms act on the cohomology groups of varieties over finite fields and reveal deep information about their zeta functions.

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In the study of arithmetic geometry, Frobenius endomorphisms act on the cohomology groups of varieties over finite fields and reveal deep information about their zeta functions.

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Frobenius endomorphisms

Noun
form-of plural
Japanese Meaning
「Frobenius endomorphisms」は、「Frobenius endomorphism」の複数形です。なお、Frobenius endomorphismは数学(特に抽象代数学や体論)において、体や環上の特定の自己写像を指し、日本語では「フロベニウス写像」や「フロベニウス自己準同型」と訳されることがあります。
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算術幾何学の研究では、フロベニウスの自己準同型が有限体上の代数多様体のコホモロジー群に作用し、それらのゼータ関数について深い情報を明らかにする。

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