In mathematics, the Abhyankar–Moh theorem states that if is a complex line in the complex affine plane , then every embedding of into extends to an automorphism of the plane. It is named after Shreeram Shankar Abhyankar and Tzuong-Tsieng Moh, who published it in 1975. More generally, the same theorem applies to lines and planes over any algebraically closed field of characteristic zero, and to certain well-behaved subsets of higher-dimensional complex affine spaces.
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| - Abhyankar–Moh theorem (en)
- 아비앙카르-모 정리 (ko)
- Abhyankar–Mohs sats (sv)
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| - In mathematics, the Abhyankar–Moh theorem states that if is a complex line in the complex affine plane , then every embedding of into extends to an automorphism of the plane. It is named after Shreeram Shankar Abhyankar and Tzuong-Tsieng Moh, who published it in 1975. More generally, the same theorem applies to lines and planes over any algebraically closed field of characteristic zero, and to certain well-behaved subsets of higher-dimensional complex affine spaces. (en)
- 대수기하학에서 아비앙카르-모 정리(영어: Abhyankar–Moh theorem)는 아핀 직선의 아핀 평면으로의 매장은 항상 아핀 평면 전체의 자기 동형 사상으로 확장될 수 있다는 정리다. (ko)
- Inom matematiken är Abhyankar–Mohs sats ett resultat som säger att om är en i komplexa affina planet , då kan varje inbäddning av till utvidgas till en automorfism av planet. Satsen är uppkallad efter och T.-T. Moh, som publicerade den 1975. Mer allmänt gäller samma sats för linjer och plan över en godtycklig av karakteristik noll, samt för vissa delmängder med goda egenskaper av högredimensionella komplexa affina rum. (sv)
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| - Abhyankar–Moh theorem (en)
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| - In mathematics, the Abhyankar–Moh theorem states that if is a complex line in the complex affine plane , then every embedding of into extends to an automorphism of the plane. It is named after Shreeram Shankar Abhyankar and Tzuong-Tsieng Moh, who published it in 1975. More generally, the same theorem applies to lines and planes over any algebraically closed field of characteristic zero, and to certain well-behaved subsets of higher-dimensional complex affine spaces. (en)
- 대수기하학에서 아비앙카르-모 정리(영어: Abhyankar–Moh theorem)는 아핀 직선의 아핀 평면으로의 매장은 항상 아핀 평면 전체의 자기 동형 사상으로 확장될 수 있다는 정리다. (ko)
- Inom matematiken är Abhyankar–Mohs sats ett resultat som säger att om är en i komplexa affina planet , då kan varje inbäddning av till utvidgas till en automorfism av planet. Satsen är uppkallad efter och T.-T. Moh, som publicerade den 1975. Mer allmänt gäller samma sats för linjer och plan över en godtycklig av karakteristik noll, samt för vissa delmängder med goda egenskaper av högredimensionella komplexa affina rum. (sv)
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