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 ... History · Hodge theory for real manifolds |
| Теория Ходжа |  |
Теория Ходжа занимается изучением дифференциальных форм на гладких многообразиях. Более конкретно, эта теория изучает, каким образом обобщённый лапласиан, ассоциированный с римановой метрикой на многообразии M, влияет на его группы когомологий с... Википедия
18 окт. 2023 г. · Hodge theory is the study of properties of (complex, rational and integer) cohomology (and motives) of Kähler manifolds, induced by a Hodge ... |
6 февр. 2019 г. · Hodge theory is about vector fields with zero divergence and curl. On R3 there are many such vector fields, but if the space you're working on ... |
8 мар. 2018 г. · Our objective in this exposition is to state and prove the main theorems of Hodge theory. ... Hodge decomposition isomorphism of Theorem 3.11 is ... |
16 июн. 2016 г. · The Hodge theorem asserts, in particular, that for a compact Kähler manifold, the canonical ( p , q ) (p,q) -grading of its differential forms ... |
7 янв. 2019 г. · Abstract:We use the Decomposition Theorem to derive several generalizations of the Clemens-Schmid sequence, relating asymptotic Hodge theory of ... |
The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables ... |
Videolar This is webpage for LTCC course "Hodge Theory". Ask question about the course: email me, Discord group of the course. Notes: 09/11. |
1 апр. 2014 г. · What are nice expositions of Hodge theory not using advanced language of algebraic geometry or category theory? |
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