Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations. The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric. Such forms are called harmonic.
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Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations. The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric. Such forms are called harmonic.
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Die Hodge-Zerlegung beziehungs ...... -Rham-Kohomologie entwickelte.
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Em matemática, teoria de Hodge ...... a métrica Riemanniana sobre M.
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En matemáticas, la teoría de H ...... ncia parcial de Hermann Weyl).
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In de wiskunde is de Hodge-the ...... nceton) en later vele anderen.
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In matematica, la teoria di Ho ...... ) e da molti altri in seguito.
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In mathematics, Hodge theory, ...... ts to, classical Hodge theory.
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La théorie de Hodge est l'étud ...... r exemple l'électromagnétisme.
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Теория Ходжа занимается изучен ...... , и, позднее, многими другими.
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Теорія Годжа займається вивчен ...... (тобто компактним і без краю).
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数学におけるホッジ理論（ホッジりろん、英: Hodge th ...... 日本で、さらにプリンストンでヘルマン・ワイルの影響の下で）。
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Die Hodge-Zerlegung beziehungs ...... -Rham-Kohomologie entwickelte.
@de
Em matemática, teoria de Hodge ...... a métrica Riemanniana sobre M.
@pt
En matemáticas, la teoría de H ...... licándose principalmente para:
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In de wiskunde is de Hodge-the ...... eaus belangrijke toepassingen:
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In matematica, la teoria di Ho ...... ione soprattutto in tre campi:
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In mathematics, Hodge theory, ...... uch forms are called harmonic.
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La théorie de Hodge est l'étud ...... orie : la conjecture de Hodge.
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Теория Ходжа занимается изучен ...... сные проективные многообразия.
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Теорія Годжа займається вивчен ...... (тобто компактним і без краю).
@uk
数学におけるホッジ理論（ホッジりろん、英: Hodge th ...... 日本で、さらにプリンストンでヘルマン・ワイルの影響の下で）。
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label
Hodge theory
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Hodge-Zerlegung
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Hodge-theorie
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Teoria de Hodge
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Teoria di Hodge
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Teoría de Hodge
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Théorie de Hodge
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Теория Ходжа
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Теорія Годжа
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ホッジ理論
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