16 citations · 27 across the 6 of their papers we have counts for
9 papers
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…
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…
Betti numbers of MCM modules over the cone of an elliptic normal curve
Alexander Pavlov
We apply Orlov's equivalence to derive formulas for the Betti numbers of maximal Cohen-Macaulay modules over the cone an elliptic curve embedded into , by…
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…
Betti Tables of MCM Modules Over the Cone of a Plane Cubic
Alexander Pavlov
We show that for maximal Cohen-Macaulay modules over a homogeneous coordinate rings of smooth Calabi-Yau varieties computation of Betti numbers can be reduced to computations o…
Quantization of branched coverings
Alexander Pavlov, Evgenij Troitsky
We identify branched coverings (continuous open surjections p:Y->X of Hausdorff spaces with uniformly bounded number of pre-images) with Hilbert C*-modules C(Y) over C(X) and with…