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Higher rank flag sheaves on Surfaces and Vafa-Witten invariants
Artan Sheshmani, Shing-Tung Yau
We study moduli space of holomorphic triples , composed of torsion-free sheaves and a holomorphic mophism between them, over a smooth compl…
Gauss-Manin connection in disguise: Genus two curves
Jin Cao, Hossein Movasati, Shing-Tung Yau
We describe an algebra of meromorphic functions on the Siegel domain of genus two which contains Siegel modular forms for an arithmetic index six subgroup of the symplectic group a…
Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani +1
A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed -forms. It is shown that any derived sche…
K3 surfaces from configurations of six lines in and mirror symmetry II --- -functions ---
Shinobu Hosono, Bong Lian, Shing-Tung Yau
We continue our study on the hypergeometric system which describes period integrals of the double cover family of K3 surfaces. Near certain special boundary points in the…