16 citations · 16 across the 4 of their papers we have counts for
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math.AG2020
Explicit coverings of families of elliptic surfaces by squares of curves
Colin Ingalls, Adam Logan, Owen Patashnick
We show that, for each , there is a family of elliptic surfaces which are covered by the square of a curve of genus , and whose Hodge structures have an action by ${\mat…
math.AG2016
Rational Mixed Tate Motivic Graphs
Susama Agarwala, Owen Patashnick
In this paper, we study the combinatorics of a subcomplex of the Bloch-Kriz cycle complex [4] used to construct the category of mixed Tate motives. The algebraic cycles we consider…
math.AG2010
A Candidate for the abelian category of mixed elliptic motives
Owen Patashnick
In this paper we suggest a definition for the category of mixed motives generated by the motive h^1(E) for E an elliptic curve without complex multiplication. We then compute the c…