id: 05144257
dt: j
an: 05144257
au: Caviglia, Giulio
ti: Bounds on the Castelnuovo-Mumford regularity of tensor products.
so: Proc. Am. Math. Soc. 135, No. 7, 1949-1957 (2007).
py: 2007
pu: American Mathematical Society, Providence, RI
la: EN
cc: 
ut: Castelnuovo-Mumford regularity; postulation number; filter-regular sequence
ci: 
li: doi:10.1090/S0002-9939-07-08222-6 
ab: Summary: We show how, given a complex of graded modules and knowing some
    partial Castelnuovo-Mumford regularities for all the modules in the
    complex and for all the positive homologies, it is possible to get a
    bound on the regularity of the zero homology. We use this to prove that
    if dim $\mathrm {Tor} _1^R(M,N)\leq 1$, then $\mathrm{reg}(M\otimes
    N)\leq \mathrm{reg}( M)+\mathrm {reg}(N)$, generalizing results of
    Chandler, Conca and Herzog, and Sidman. Finally we give a description
    of the regularity of a module in terms of the postulation numbers of
    filter regular hyperplane restrictions.
rv: