Moduli of stable super maps

6 Oct 2025, 09:30
1h
Littoral Hotel

Littoral Hotel

João Pessoa, Brazil

Speaker

Daniel Hernández Ruipérez (Universidad de Salamanca, Spain)

Description

We construct the moduli of stable supermaps as an algebraic superstack with superschematic and separated diagonal. We prove that its bosonic reduction is an affine linear scheme over the stack of stable spin maps, so that it is not proper except in a few particular cases. We also compute the virtual dimension of the moduli superstack of stable supermaps, and prove that it coincides with previous calculations when the target of the supermaps is bosonic.

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