128 citations · 759 across the 31 of their papers we have counts for
34 papers
Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations
Carolina Araujo, Alessio Corti, Alex Massarenti
We develop a framework that allows one to describe the birational geometry of Calabi-Yau pairs . After establishing some general results for Calabi-Yau pairs with mi…
A Prym Hypergeometric
Alessio Corti, Giulia Gugiatti, Fernando Rodriguez Villegas
We study a hypergeometric local system that arises from the quantum Chen-Ruan cohomology of a family of weighted del Pezzo hypersurfaces. We prove that it is the anti-invariant var…
Mirror Symmetry and smoothing Gorenstein toric affine 3-folds
Alessio Corti, Matej Filip, Andrea Petracci
We state two conjectures that together allow one to describe the set of smoothing components of a Gorenstein toric affine 3-fold in terms of a combinatorially defined and easily st…
On the Topology of Fano Smoothings
Tom Coates, Alessio Corti, Genival da Silva
Suppose that X is a Fano manifold that corresponds under Mirror Symmetry to a Laurent polynomial f, and that P is the Newton polytope of f. In this setting it is expected that ther…
Hyperelliptic Integrals and Mirrors of the Johnson-Kollár del Pezzo Surfaces
Alessio Corti, Giulia Gugiatti
For all k>0 integer, we consider the regularised I-function of the family of del Pezzo surfaces of degree 8k+4 in P(2,2k+1,2k+1, 4k+1), first constructed by Johnson and Kollár. We…
Hodge-Theoretic Mirror Symmetry for Toric Stacks
Tom Coates, Alessio Corti, Hiroshi Iritani +1
Using the mirror theorem [CCIT15], we give a Landau-Ginzburg mirror description for the big equivariant quantum cohomology of toric Deligne-Mumford stacks. More precisely, we prove…