5 papers
Moduli spaces of varieties of general type are naturally of log general type
Sebastian Casalaina-Martin, Shend Zhjeqi
We generalize work of Popa-Schnell on Viehweg hyperbolicity for smooth projective varieties to the case of smooth Deligne-Mumford stacks. The results of Popa-Schnell build on resul…
Moduli spaces of snc klt KSBA stable pairs are naturally of log general type
Sebastian Casalaina-Martin, Shend Zhjeqi
We generalize work of Wei-Wu on Viehweg hyperbolicity for families of stable pairs over smooth projective varieties to the case of smooth Deligne-Mumford stacks. The results of Wei…
Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks
Sebastian Casalaina-Martin, Shend Zhjeqi
We generalize some results of Campana-PÄun regarding foliations, slope stability, and positivity of log canonical bundles on smooth projective varieties to the case of smooth prop…
Movable curve classes and slope stability on Deligne-Mumford stacks
Sebastian Casalaina-Martin, Shend Zhjeqi
We generalize some results in the literature on movable curve classes and slope stability of coherent sheaves on smooth projective varieties to the case of smooth proper DM stacks…
Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
Sebastian Casalaina-Martin, Shend Zhjeqi
We generalize positivity results due to Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles on smooth projective varieties to the case of smooth proper DM stacks admitting…