64 citations · 174 across the 20 of their papers we have counts for
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math.AG2014★ 2 cited
The universal tropicalization and the Berkovich analytification
Jeffrey Giansiracusa, Noah Giansiracusa
Given an integral scheme X over a non-archimedean valued field k , we construct acuniversal closed embedding of X into a k-scheme equipped with a model over the field with one elem…
math.AG2014★ 5 cited
Projective linear configurations via non-reductive actions
Brent Doran, Noah Giansiracusa
We study the iterated blow-up X of projective space along an arbitrary collection of linear subspaces. By replacing the universal torsor with an -homotopy equivalent…
math.AG2014★ 7 cited
A simplicial approach to effective divisors in
Brent Doran, Noah Giansiracusa, David Jensen
We study the Cox ring and monoid of effective divisor classes of , over a ring R. We provide a bijection between elements of the Cox ring,…