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math.NT2012
Computation of Polarized Metrized Graph Invariants By Using Discrete Laplacian Matrix
Zubeyir Cinkir
Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry are studied recently. In this paper, we give fast algorithms to compute these invarian…
math.NT2009
Zhang's Conjecture and the Effective Bogomolov Conjecture over function fields
Zubeyir Cinkir
We prove the Effective Bogomolov Conjecture, and so the Bogomolov Conjecture, over a function field of characteristic 0 by proving Zhang's Conjecture about certain invariants of me…