Periodic Reporting for period 4 - AlgTateGro (Constructing line bundles on algebraic varieties --around conjectures of Tate and Grothendieck)

This project aims at a better understanding of some fundamental questions blending arithmetic and geometric phenomena, focusing on the existence and construction of line bundles on algebraic varieties.We pursue a web of conjectures mostly formulated during the 1960s by Tate...