11 citations · 29 across the 11 of their papers we have counts for
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On the splitting of genus two supermoduli
Kowshik Bettadapura
This article investigates why the genus two, supermoduli space of curves will split in contrast to, potentially, almost all other supermoduli spaces. We use that the dimension of t…
Koszul's Splitting Theorem and the Super Atiyah Class
Kowshik Bettadapura
In this article we present a self-contained account of two important results in complex supergeometry: (1) Koszul's Splitting theorem and (2) Donagi and Witten's decomposition of t…
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…
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…
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…
Projective Superspace Varieties, Superspace Quadrics and Non-Splitting
Kowshik Bettadapura
This article is a continuation of a previous article which concerned the splitting problem for subspaces of superspaces. We begin with a general account of projective superspaces.…
Embeddings of Complex Supermanifolds
Kowshik Bettadapura
In this article we present a study of embeddings of complex supermanifolds. We are broadly guided by the question: when will a submanifold of a split supermanifold itself be split?…
Higher Obstructions of Complex Supermanifolds
Kowshik Bettadapura
In this article we introduce the notion of a 'good model' in order to study the higher obstructions of complex supermanifolds. We identify necessary and sufficient conditions for s…
On The Problem of Splitting Deformations of Super Riemann Surfaces
Kowshik Bettadapura
An odd deformation of a super Riemann surface is a deformation of by variables of odd parity. In this article we study the obstruction theory of these odd…