Magnitude of stars?

What effect would pollution in the atmosphere have in the apparent magnitude and the absolute magnitude of a star?

Pollution in the atmosphere affects the apparent magnitude of stars. The way apparent magnitudes are usually measured by astronomers is not sensitive to this effect, however, since what is done is to compare the star being measured with a nearby "standard star" with the same instrument at nearly the same time. These astronomical measurements have not been sensitive to pollution.

The absolute magnitude of a star is a property of the star itself (its intrinsic luminosity, independent of distance and all other effects) and so (if measured and calculated correctly) is independent of any earthly or instrumental effects.
Only in our ability to see it. What we do here hardly effects anything outside of our solar system. We are but a speck in a big ocean of planets and moons and suns.
If the pollutants reduced the clarity of the atmosphere, from Earth we would likely see a rise in apparent magnitude (as a lower magnitude indicates a brighter star), and the star would possibly appear dimmer.

The absolute magnitude of a star is the brightness of the star if it was viewed from a standard distance away (10 parsecs, 32.6 light years). As such, that would not be affected.

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