In arithmetic geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the projective spaces. It was introduced by Faltings in his proof of Lang's conjecture that subvarieties of an abelian variety containing no translates of non-trivial abelian subvarieties have only finitely many rational points. and gave explicit versions of Faltings' product theorem.
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| - Faltings' product theorem (en)
- Faltings produktsats (sv)
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| - In arithmetic geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the projective spaces. It was introduced by Faltings in his proof of Lang's conjecture that subvarieties of an abelian variety containing no translates of non-trivial abelian subvarieties have only finitely many rational points. and gave explicit versions of Faltings' product theorem. (en)
- Inom matematiken är Faltings produktsats ett resultat som ger tillräckliga villkor för en delvarietet av en produkt av för att vara en produkt av varieteter i projektiva rummen. Den introducerades av i hans bevis av Langs förmodan att delvarieteter av en abelsk varietet som inte innehåller translationer av icke-triviala abelska delvarieteter ar bara ändligt många rationella punkter. ) och ) gav explicita versioner av satsen. (sv)
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| - In arithmetic geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the projective spaces. It was introduced by Faltings in his proof of Lang's conjecture that subvarieties of an abelian variety containing no translates of non-trivial abelian subvarieties have only finitely many rational points. and gave explicit versions of Faltings' product theorem. (en)
- Inom matematiken är Faltings produktsats ett resultat som ger tillräckliga villkor för en delvarietet av en produkt av för att vara en produkt av varieteter i projektiva rummen. Den introducerades av i hans bevis av Langs förmodan att delvarieteter av en abelsk varietet som inte innehåller translationer av icke-triviala abelska delvarieteter ar bara ändligt många rationella punkter. ) och ) gav explicita versioner av satsen. (sv)
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