8 citations · 18 across the 7 of their papers we have counts for
Showing 2006 · math.AGShow all
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math.AG2006★ 3 cited
The Pfaffian-Grassmannian derived equivalence
Lev Borisov, Andrei Caldararu
We argue that there exists a derived equivalence between Calabi-Yau threefolds obtained by taking dual hyperplane sections (of the appropriate codimension) of the Grassmannian G(2,…
math.AG2006
Fiberwise stable bundles on elliptic threefolds with relative Picard number one
Andrei Caldararu
We show that fiberwise stable vector bundles are preserved by relative Fourier-Mukai transforms between elliptic threefolds with relative Picard number one. Using these bundles we…
math.AG2006
Non-birational Calabi-Yau threefolds that are derived equivalent
Andrei Caldararu
We argue that the existence of genus one fibrations with multisections of high degree on certain Calabi-Yau threefolds implies the existence of pairs of such varieties that are not…