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Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture

Umberto Zannier and David Masser

in Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153704
eISBN:
9781400842711
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153704.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter describes some results of unlikely intersections in the case of multiplicative algebraic groups (also called “tori”) 𝔾ⁿᵐ, together with a sketch of some of the proofs.


Descent in Buildings (AM-190)

Bernhard Mühlherr, Holger P. Petersson, and Richard M. Weiss

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This book begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. It then puts forward an algebraic solution into a geometric context by developing a ... More


Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

Umberto Zannier

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153704
eISBN:
9781400842711
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153704.001.0001
Subject:
Mathematics, Geometry / Topology

This book considers the so-called unlikely intersections, a topic that embraces well-known issues, such as Lang's and Manin–Mumford's, concerning torsion points in subvarieties of tori or abelian ... More


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