TL;DR
This paper introduces new inequalities for the successive minima of lattice sections of hermitian line bundles on arithmetic surfaces using linear projections.
Contribution
It presents novel inequalities relating to successive minima derived through linear projections in the context of arithmetic surfaces.
Findings
Derived new inequalities for successive minima
Applied linear projections to lattice of sections
Enhanced understanding of hermitian line bundle properties
Abstract
Using linear projections one gets new inequalities for the successive minima of the lattice of sections of an hermitian line bundle on an arithmetic surface.
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