11 citations · 44 across the 13 of their papers we have counts for
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Automorphisms of cubic surfaces in positive characteristic
Igor Dolgachev, Alexander Duncan
We classify all possible automorphism groups of smooth cubic surfaces over an algebraically closed field of arbitrary characteristic. As an intermediate step we also classify autom…
The toric Frobenius morphism and a conjecture of Orlov
Matthew R. Ballard, Alexander Duncan, Patrick K. McFaddin
We combine the Bondal-Uehara method for producing exceptional collections on toric varieties with a result of the first author and Favero to expand the set of varieties satisfying…
On derived categories of arithmetic toric varieties
Matthew R. Ballard, Alexander Duncan, Patrick K. McFaddin
We begin a systematic investigation of derived categories of smooth projective toric varieties defined over an arbitrary base field. We show that, in many cases, toric varieties ad…