8 citations · 11 across the 3 of their papers we have counts for
6 papers
A proof of the Donaldson-Thomas crepant resolution conjecture
Sjoerd Viktor Beentjes, John Calabrese, Jørgen Vold Rennemo
We prove the crepant resolution conjecture for Donaldson-Thomas invariants of hard Lefschetz CY3 orbifolds, formulated by Bryan-Cadman-Young, interpreting the statement as an equal…
Gabriel's theorem and birational geometry
John Calabrese, Roberto Pirisi
Extending work of Meinhardt and Partsch, we prove that two varieties are isomorphic in codimension c if and only if certain quotients of their categories of coherent sheaves are eq…
Derived Equivalent Calabi-Yau 3-folds from Cubic 4-folds
John Calabrese, Richard P. Thomas
We describe pretty examples of derived equivalences and autoequivalences of Calabi-Yau threefolds arising from pencils of cubic fourfolds. The cubic fourfolds are chosen to be spec…
Moduli Problems in Abelian Categories and the Reconstruction Theorem
John Calabrese, Michael Groechenig
We give a moduli-theoretic proof of the classical theorem of Gabriel, stating that a scheme can be reconstructed from the abelian category of quasi-coherent sheaves over it. The me…
On the Crepant Resolution Conjecture for Donaldson-Thomas Invariants
John Calabrese
We prove a comparison formula for curve-counting invariants in the setting of the McKay correspondence, related to the crepant resolution conjecture for Donaldson-Thomas invariants…
Donaldson-Thomas Invariants and Flops
John Calabrese
We prove a comparison formula for the Donaldson-Thomas curve-counting invariants of two smooth and projective Calabi-Yau threefolds related by a flop. By results of Bridgeland any…