Elements of supergeometry
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 32 (1988), pp. 3-25
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This paper is devoted to an exposition of the structure theory of supermanifolds and bundles on them, a description of Serre duality on supermanifolds, investigation of inverse sheaves, definition of characteristic classes and proof of the Grothendieck–Riemann–Roch theorem for supermanifolds.
@article{INTD_1988_32_a0,
author = {A. A. Voronov and Yu. I. Manin and I. B. Penkov},
title = {Elements of supergeometry},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--25},
publisher = {mathdoc},
volume = {32},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1988_32_a0/}
}
TY - JOUR AU - A. A. Voronov AU - Yu. I. Manin AU - I. B. Penkov TI - Elements of supergeometry JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya PY - 1988 SP - 3 EP - 25 VL - 32 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTD_1988_32_a0/ LA - ru ID - INTD_1988_32_a0 ER -
A. A. Voronov; Yu. I. Manin; I. B. Penkov. Elements of supergeometry. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 32 (1988), pp. 3-25. http://geodesic.mathdoc.fr/item/INTD_1988_32_a0/