TY - THES
T1 - Gorenstein modules of finite length
A1 - Kunte,Michael
Y1 - 2011/07/01
N2 - We study graded modules of finite length over the weighted polynomial ring R=k[x_{1},...,x_{n}], k any field, having a certain strongly selfdual resolution. We give a construction method of these Gorenstein modules via symmetric matrices in divided powers. Our main result is the following equivalence: Let n be an odd integer. A graded R-module of finite length has a selfdual minimal free resolution with a symmetric respectively skew symmetric middle matrix if and only if it can be defined by a symmetric respectively skew symmetric matrix in divided powers. The correspondence depends on the parity of (n-1)/2. We give applications, such as a proof of a conjecture of Eisenbud and Schreyer: Let R be trivially weighted. The monoid of Betti tables of free resolutions of graded Cohen-Macaulay modules over R depends on the characteristic of the base field k.
KW - Gorenstein-Modul
KW - Matrix
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2011/3792
ER -