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math.AG2019★ 1 cited
Analytic and Algebraic Deformations of Super Riemann Surfaces
Kowshik Bettadapura
By analytic deformations of complex structures, we mean perturbations of the Dolbeault operator. By algebraic deformations of complex structures, we mean deformations of holomorphi…
math.AG2019
Families of Supermanifolds: Splitting Types and Obstruction Maps
Kowshik Bettadapura
In this article we study the notion of supermanifolds families, starting from Green's general classification of supermanifolds. The topics studied divide this article into two dist…
math.AG2019
Sheaves of AQ Normal Series and Supermanifolds
Kowshik Bettadapura
On a group , a filtration by normal subgroups is referred to as a normal series. If subsequent quotients are abelian, the filtration is referred to as an \emph{abelian-quotient…