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YCor
YCor
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How to define Currenta current on Complex Analytic Spacea complex analytic space

I'm reading a paper in which the author use $(p,q)$-formforms and currentcurrents on a complex analytic space.

My question is how to define $(p,q)$-current on complex space? Does it have similar properties like closeness, positivity and cohomology as in the smooth case? Could we define intersection theory or wedge product in this case?

How to define Current on Complex Analytic Space

I'm reading a paper in which the author use $(p,q)$-form and current on a complex analytic space.

My question is how to define $(p,q)$-current on complex space? Does it have similar properties like closeness, positivity and cohomology as in the smooth case? Could we define intersection theory or wedge product in this case?

How to define a current on a complex analytic space

I'm reading a paper in which the author use $(p,q)$-forms and currents on a complex analytic space.

My question is how to define $(p,q)$-current on complex space? Does it have similar properties like closeness, positivity and cohomology as in the smooth case? Could we define intersection theory or wedge product in this case?

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Hydrogen
Hydrogen
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How to define Current on Complex Analytic Space

I'm reading a paper in which the author use $(p,q)$-form and current on a complex analytic space.

My question is how to define $(p,q)$-current on complex space? Does it have similar properties like closeness, positivity and cohomology as in the smooth case? Could we define intersection theory or wedge product in this case?