Geodesic
An Analog of Determinant Related to Parshin--Kato Theory and Integer Polytopes
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 55-64

Voir la notice de l'article provenant de la source Math-Net.Ru

Parshin–Kato theory involves a multilinear function of $n+1$ vectors in the $n$-dimensional vector space over the field $\mathbb{Z}/2\mathbb{Z}$. The same function arises in the computation of the product in the group $(\mathbb{C}^*)^n$ of all roots of several polynomial equations with sufficiently generic Newton polytopes. We discuss this remarkable function and related geometry of integer polytopes. 
@article{FAA_2006_40_2_a5,
     author = {A. G. Khovanskii},
     title = {An {Analog} of {Determinant} {Related} to {Parshin--Kato} {Theory} and {Integer} {Polytopes}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a5/}
}
TY  - JOUR
AU  - A. G. Khovanskii
TI  - An Analog of Determinant Related to Parshin--Kato Theory and Integer Polytopes
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2006
SP  - 55
EP  - 64
VL  - 40
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a5/
LA  - ru
ID  - FAA_2006_40_2_a5
ER  - 
%0 Journal Article
%A A. G. Khovanskii
%T An Analog of Determinant Related to Parshin--Kato Theory and Integer Polytopes
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2006
%P 55-64
%V 40
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a5/
%G ru
%F FAA_2006_40_2_a5
A. G. Khovanskii. An Analog of Determinant Related to Parshin--Kato Theory and Integer Polytopes. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 2, pp. 55-64. http://geodesic.mathdoc.fr/item/FAA_2006_40_2_a5/