Embeddings of Complex Supermanifolds

2018/06/07 by Bettadapura, Kowshik
#14M30 #32C11 #58A50 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1806.02763

Abstract

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? As an application of our study, we will address this question for certain superspace embeddings over rational normal curves.

Related

• Embeddings of submanifolds and normal bundles
• Submanifold Projection
• Smooth, nonsymplectic embeddings of rational balls in the complex\n projective plane
• Infinitesimal splitting for spaces with thick curve families and Euclidean embeddings
• Spaces of embeddings: Nonsingular bilinear maps, chirality, and their\n generalizations