TORICHESKAYA GEOMETRIYA I VYCHETY GROTENDIKA
 O.~A.~Gelp1fond, A.~G.~Khovanski\u i}


Rassmatrivaet\-sya sistema iz $n$ algebraicheskikh uravneni\u i $P_1=\dots
= P_n=0$ v prostranstve $(\Bbb C\setminus 0)^n$. Predpolagaet\-sya, chto
mnogogranniki Np1yutona e1tikh uravneni\u i dostatochno obshchim obrazom
raspolozheny otnositelp1no drug druga. Pustp1 $\omega$ --- lyubaya
ratsionalp1naya $n$-forma, regulyarnaya v $(\Bbb C\setminus 0)^n$ vne 
giperpoverkhnosti $P_1\cdots P_n=0$. Ranee my anonsirovali yavnuyu formulu
dlya summy vychetov Grotendika formy $\omega$ po vsem kornyam sistemy
uravneni\u i. V nastoyashche\u i statp1e e1ta formula dokazyvaet\-sya.