• Corpus ID: 220936287

Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes.

  title={Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes.},
  author={Ugo Bruzzo and Daniel Hern{\'a}ndez Ruip{\'e}rez and Alexander Polishchuk},
  journal={arXiv: Algebraic Geometry},
These notes aim at providing a complete and systematic account of some foundational aspects of algebraic supergeometry, namely, the extension to the geometry of superschemes of many classical notions, techniques and results that make up the general backbone of algebraic geometry, most of them originating from Grothendieck's work. In particular, we extend to algebraic supergeometry such notions as projective and proper morphisms, finiteness of the cohomology, vector and projective bundles… 
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