Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 32 (1988), pp. 3-25
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A. A. Voronov; Yu. I. Manin; I. B. Penkov. Elements of supergeometry. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, 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/
@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},
year = {1988},
volume = {32},
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
UR - http://geodesic.mathdoc.fr/item/INTD_1988_32_a0/
LA - ru
ID - INTD_1988_32_a0
ER -
%0 Journal Article
%A A. A. Voronov
%A Yu. I. Manin
%A I. B. Penkov
%T Elements of supergeometry
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1988
%P 3-25
%V 32
%U http://geodesic.mathdoc.fr/item/INTD_1988_32_a0/
%G ru
%F INTD_1988_32_a0
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.
