3 papers
math.AG2024
Distributions with locally free tangent sheaf
J. V. Pereira, J. P. dos Santos
In the paper Stability of Holomorphic Foliations with Split Tangent Sheaf one finds a study of the locus where the tangent sheaf of a {\it family} of foliations in $…
math.AC2024
Fiber criteria for flatness and homomorphisms of flat affine group schemes
Phùng Hô Hai, Hop D. Nguyen, João Pedro dos Santos
A very useful result concerning flatness in Algebraic Geometry is EGA's ``fiber'' criterion. We propose similar fiber criteria to verify flatness of a module while avoiding ``finit…
math.DG2023
On the monodromy of holomorphic differential systems
Indranil Biswas, Sorin Dumitrescu, Lynn Heller +2
First we survey and explain the strategy of some recent results that construct holomorphic -differential systems over some Riemann surfaces of genus…