Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 224-230
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S. S. Podkorytov. On the Euler characteristic of a random algebraic hypersurface. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 224-230. http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a19/
@article{ZNSL_1998_252_a19,
author = {S. S. Podkorytov},
title = {On the {Euler} characteristic of a~random algebraic hypersurface},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {224--230},
year = {1998},
volume = {252},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a19/}
}
TY - JOUR
AU - S. S. Podkorytov
TI - On the Euler characteristic of a random algebraic hypersurface
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 224
EP - 230
VL - 252
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a19/
LA - ru
ID - ZNSL_1998_252_a19
ER -
%0 Journal Article
%A S. S. Podkorytov
%T On the Euler characteristic of a random algebraic hypersurface
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 224-230
%V 252
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a19/
%G ru
%F ZNSL_1998_252_a19
We calculate the mean value of the Euler characteristic of the hypersurface in $\mathbb R P^d$ ($d$ odd) defined by a random polynomial of given degree under the condition that the polynomial has normal distribution with zero mean invariant with respect to the action of the orthogonal group $O(d+1)$.
