Heights for line bundles on arithmetic surfaces
Abstract
Description
For line bundles on arithmetic varieties we construct height functions using arithmetic intersection theory. In the case of an arithmetic surface, generically of genus g, for line bundles of degree g equivalence is shown to the height on the Jacobian defined by the Theta divisor.
Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09
Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09