Theta divisor

In mathematics, particularly in the theory of abelian varieties and algebraic geometry, a *Theta divisor* is a specific kind of divisor associated with a principally polarized abelian variety (PPAV). More formally, if \( A \) is an abelian variety and \( \Theta \) is a quasi-projective variety corresponding to a certain polarization, then the theta divisor \( \theta \) is defined as the zero locus of a section of a line bundle on \( A \).