16 citations · 27 across the 6 of their papers we have counts for
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math.AG2017
Ulrich Bundles on Elliptic Curves and Theta Functions
Alexander Pavlov
Let be a smooth elliptic curve over . For embedded into as Hesse cubic and an Ulrich bundle on we derive a explicit presentation of u…
math.AG2017
Koszul duality between Betti and Cohomology numbers in Calabi-Yau case
Alexander Pavlov
Let be a smooth projective Calabi-Yau variety and a Koszul line bundle on . We show that for Betti numbers of a maximal Cohen-Macaulay module over the homogeneous coordi…
math.AG2015★ 3 cited
Moore Matrices and Ulrich Bundles on an Elliptic Curve
Ragnar-Olaf Buchweitz, Alexander Pavlov
We give normal forms of determinantal representations of a smooth projective plane cubic in terms of Moore matrices. Building on this, we exhibit matrix factorizations for all inde…