113 citations · 363 across the 14 of their papers we have counts for
15 papers
Mirror symmetry and automorphisms
Alessandro Chiodo, Elana Kalashnikov
We show that there is an extra dimension to the mirror duality discovered in the early nineties by Greene-Plesser and Berglund-Hübsch. Their duality matches cohomology classes of t…
Néron models of via
Alessandro Chiodo
We provide a new description of the Néron model of the Jacobian of a smooth curve with stable reduction on a discrete valuation ring with field of fractions . In…
Semi-Calabi-Yau orbifolds and mirror pairs
Alessandro Chiodo, Elana Kalashnikov, Davide Cesare Veniani
We generalize the cohomological mirror duality of Borcea and Voisin in any dimension and for any number of factors. Our proof applies to all examples which can be constructed throu…
The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections
Alessandro Chiodo, Jan Nagel
We observe that the state space of Landau-Ginzburg isolated singularities is simply a special case of Chen-Ruan orbifold cohomology relative to the generic fibre of the potential.…
A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence
Alessandro Chiodo, Yongbin Ruan
We show how the Landau-Ginzburg/Calabi-Yau correspondence for the quintic three-fold can be cast into a global mirror symmetry framework. Then we draw inspiration from Berglund-Hüb…
Syzygies of torsion bundles and the geometry of the level l modular variety over M_g
Alessandro Chiodo, David Eisenbud, Gavril Farkas +1
We formulate, and in some cases prove, three statements concerning the purity or, more generally the naturality of the resolution of various rings one can attach to a generic curve…