Advances in Theoretical and Mathematical Physics

Volume 23 (2019)

Number 6

Embeddings of complex supermanifolds

Pages: 1427 – 1466

DOI: https://dx.doi.org/10.4310/ATMP.2019.v23.n6.a1

Author

Kowshik Bettadapura (Yau Mathematical Sciences Center, Tsinghua University, Beijing, China)

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.

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Published 20 March 2020