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We explore how nuclear modifications to the free nucleon structure functions(also known as shadowing) affect heavy quark production in collisions atdifferent impact parameters. We assume that the nuclear modifications arisefrom a density dependent effect such as gluon recombination and are thusproportional to the local density. We calculate the dependence of charm andbottom quark production on impact parameter and show that density dependentmodifications can lead to significant reductions in the heavy quark productioncross sections in central relative to peripheral interactions.Comment: 13 pages including 2 figures; submitted to Physical Review Letter

Spatial Variation of Nuclear Structure Functions and Heavy Quark Production