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.