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Differential zeros of period integrals and generalized hypergeometric functions
Jingyue Chen, An Huang, Bong H. Lian +1
In this paper, we study the zero loci of local systems of the form , where is the period sheaf of the universal family of CY hypersurfaces in a suitable ambient space ,…
Weil-Petersson geometry on the space of Bridgeland stability conditions
Yu-Wei Fan, Atsushi Kanazawa, Shing-Tung Yau
Inspired by mirror symmetry, we investigate some differential geometric aspects of the space of Bridgeland stability conditions on a Calabi-Yau triangulated category. The aim is to…
Localized Donaldson-Thomas theory of surfaces
Amin Gholampour, Artan Sheshmani, Shing-Tung Yau
Let be a projective simply connected complex surface and be a line bundle on . We study the moduli space of stable compactly supported 2-dimensional sheaves on…
Nested Hilbert schemes on surfaces: Virtual fundamental class
Amin Gholampour, Artan Sheshmani, Shing-Tung Yau
We construct virtual fundamental classes on nested Hilbert schemes of points and curves in complex nonsingular projective surfaces. These classes recover the virtual classes of Sei…