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arxiv: math/0703491 · v1 · pith:LFT6PV4Lnew · submitted 2007-03-16 · 🧮 math.RA · math-ph· math.MP

Smoothness of Algebraic Supervarieties and Supergroups

classification 🧮 math.RA math-phmath.MP
keywords algebraiccomplexprovesmoothnesssupergroupsaffineapplicationscontext
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In this paper we discuss the notion of smoothness in complex algebraic supergeometry and we prove that all affine complex algebraic supergroups are smooth. We then prove the stabilizer theorem in the algebraic context, providing some useful applications.

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