COMPLEX ANALYTIC AND PLURISUBHARMONIC PROPERTIES OF ALGEBRAIC VARIETIES
DOI:
https://doi.org/10.5281/Abstract
The study of complex analytic and plurisubharmonic properties on algebraic varieties lies at the intersection of complex geometry, potential theory, and commutative algebra. Algebraic varieties provide a natural geometric framework where function-theoretic behavior is tightly constrained by underlying polynomial equations. Over the past few decades, understanding how holomorphic functions and plurisubharmonic (psh) potentials extend, degenerate, or aggregate singularities along subvarieties has become central to multidimensional complex analysis.[1]
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