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15
141
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Could a differential form be both exact and co-exact?

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#algebraic-topology #manifolds #differential-forms #manifolds-with-boundary #hodge-theory
50
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Multiplying the volume form by the codifferential of a one form yields an exact form

Published on
#riemannian-geometry #hodge-theory
64
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The cohomology of the Jacobian and its subvariety

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#algebraic-geometry #complex-geometry #arithmetic-geometry #abelian-varieties #hodge-theory
86
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Polarization of Hodge structure

Published on
#algebraic-geometry #complex-geometry #hodge-theory
74
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On the construction of the de Rham period ring

Published on
#abstract-algebra #local-field #hodge-theory
117
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Computation involving the Hodge star and exterior covariant derivative on an almost complex manifold

Published on
#reference-request #complex-geometry #vector-bundles #hodge-theory #almost-complex
65
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Equivalent Definitions of Hodge Structure

Published on
#algebraic-geometry #hodge-theory #filtrations
167
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Is the Hodge decomposition on a simplicial complex canonical?

Published on
#algebraic-topology #inner-products #simplicial-complex #hodge-theory
135
Views

Is a finite covering of a $\partial\bar{\partial}$-manifold still $\partial\bar{\partial}$-manifold?

Published on
#complex-geometry #kahler-manifolds #complex-manifolds #hodge-theory
69
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Complex conjugation of bundle-valued forms

Published on
#differential-geometry #complex-geometry #differential-forms #vector-bundles #hodge-theory
153
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Dimension of the space of harmonic one-forms on compact manifold

Published on
#differential-geometry #differential-forms #hodge-theory
96
Views

Bochner's formula and harmonic 1-forms on 2-manifold

Published on
#differential-geometry #hodge-theory
122
Views

Holomorphic forms are closed on compact manifold $X$ if $\dim(X)=2$.

Published on
#complex-geometry #closed-form #complex-manifolds #hodge-theory #compact-manifolds
87
Views

Correspondence between $H^1_{dR}$ and harmonic 1-forms

Published on
#differential-geometry #riemannian-geometry #homology-cohomology #de-rham-cohomology #hodge-theory
127
Views

Definition of a Hodge structure

Published on
#number-theory #manifolds #complex-geometry #differential-forms #hodge-theory

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