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Concept
Holomorphic Volume Form
A
holomorphic volume form
is a
differential form
on a
complex manifold
that is locally expressed as a non-vanishing
holomorphic n-form
, where n is the
complex dimension
of the manifold. It plays a crucial role in
complex geometry
, particularly in the study of
Calabi-Yau manifolds
and
mirror symmetry
, due to its invariance under
holomorphic transformations
and its contribution to defining a
canonical bundle
.
Relevant Fields:
Topology 86%
Differential Geometry 14%
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