Homological properties of bigraded algebras
Römer, Tim
Illinois J. Math., Tome 45 (2001) no. 4, p. 1361-1376 / Harvested from Project Euclid
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We investigate the $x$- and $y$-regularity of a bigraded $K$-algebra $R$ as introduced in \cite{ARCRNE}. These notions are used to study asymptotic properties of certain finitely generated bigraded modules. As an application we get for any equigenerated graded ideal $I$ upper bounds for the number $j_0$ for which $\operatorname{reg}(I^j)$ is a linear function for $j \geq j_0$. Finally, we give upper bounds for the $x$- and $y$-regularity of generalized Veronese algebras.
Publié le : 2001-10-15
Classification:  13D99,  13C13 
@article{1258138072,
     author = {R\"omer, Tim},
     title = {Homological properties of bigraded algebras},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 1361-1376},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138072}
}

Römer, Tim. Homological properties of bigraded algebras. Illinois J. Math., Tome 45 (2001) no. 4, pp.  1361-1376. http://gdmltest.u-ga.fr/item/1258138072/