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What (who) is mixed variation - definition

ALGEBRAIC STRUCTURE

Hodge module; Variation of Hodge structure; Variation of Hodge structures; Variation of mixed Hodge structure; Variation of mixed Hodge structures; Hodge filtration; Weight filtration; Weil operator; Hodge-Riemann bilinear relations; Hodge structures

variation

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

¦ noun

1. a change or slight difference in condition, amount, or level.

(also magnetic variation) the angular difference between true north and magnetic north at a particular place.

2. a different or distinct form or version.

Music a new but still recognizable version of a theme.

Ballet a solo dance as part of a performance.

Derivatives

variational adjective

varied

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

¦ adjective incorporating a number of different types or elements; showing variation or variety.

Derivatives

variedly adverb

variation

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

(variations)

1.

A variation on something is the same thing presented in a slightly different form.

This delicious variation on an omelette is quick and easy to prepare...

N-COUNT: usu N on n

2.

A variation is a change or slight difference in a level, amount, or quantity.

The survey found a wide variation in the prices charged for canteen food...

Every day without variation my grandfather ate a plate of cold ham.

N-VAR

Wikipedia

Hodge structure

In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold. Hodge structures have been generalized for all complex varieties (even if they are singular and non-complete) in the form of mixed Hodge structures, defined by Pierre Deligne (1970). A variation of Hodge structure is a family of Hodge structures parameterized by a manifold, first studied by Phillip Griffiths (1968). All these concepts were further generalized to mixed Hodge modules over complex varieties by Morihiko Saito (1989).

https://en.wikipedia.org/wiki/Hodge structure