44 citations · 315 across the 37 of their papers we have counts for
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math.AG2012★ 23 cited
Mutations of Laurent Polynomials and Flat Families with Toric Fibers
Nathan Owen Ilten
We give a general criterion for two toric varieties to appear as fibers in a flat family over the projective line. We apply this to show that certain birational transformations map…
math.AG2012
Calculating Generators of Multigraded Algebras
Nathan Owen Ilten, Lars Kastner
We present an algorithm to find generators of the multigraded algebra A associated to an arbitrary p-divisor D on some variety Y. A modified algorithm is also presented for the cas…
math.AG2012★ 9 cited
Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds
Jan Arthur Christophersen, Nathan Owen Ilten
For fixed degree , we study the Hilbert scheme of degree smooth Fano threefolds in their anticanonical embeddings. We use this to classify all possible degenerations…