Elizabeth Wulcan
Stabilization of monomial maps.
Пнд, 01/25/2010 - 16:01 — SomNambulAuthors: Elizabeth Wulcan, Mattias Jonsson
Subjects: Dynamical Systems
AbstractA monomial (or equivariant) selfmap of a toric variety is called stable if
its action on the Picard group commutes with iteration. Generalizing work of
Favre to higher dimensions, we show that under suitable conditions, a monomial
map can be made stable by refining the underlying fan. In general, the
resulting toric variety has quotient singularities; in dimension two we give
criteria for when it can be chosen smooth, as well as examples when it cannot.On weighted Bochner-Martinelli residue currents.
Ср, 10/07/2009 - 12:26 — SomNambulAuthors: Elizabeth Wulcan
Subjects: Complex Variables
AbstractWe study the weighted Bochner-Martinelli residue current R^p(f) associated
with a sequence f=(f_1,...,f_m) of holomorphic germs at the origin in C^n,
whose common zero set equals the origin, and p=(p_1,..., p_m)\in N^n. Our main
results are a description of R^p(f) and its annihilator ideal in terms of the
Rees valuations of the ideal generated by (f_1^{p_1},..., f_m^{p_m}) and an
explicit description of R^p(f) when f is monomial. For a monomial sequence f we
show that R^p(f) is independent of p if and only if f is a regular sequence.On weighted Bochner-Martinelli residue currents.
Ср, 10/07/2009 - 12:26 — SomNambulAuthors: Elizabeth Wulcan
Subjects: Complex Variables
AbstractWe study the weighted Bochner-Martinelli residue current R^p(f) associated
with a sequence f=(f_1,...,f_m) of holomorphic germs at the origin in C^n,
whose common zero set equals the origin, and p=(p_1,..., p_m)\in N^n. Our main
results are a description of R^p(f) and its annihilator ideal in terms of the
Rees valuations of the ideal generated by (f_1^{p_1},..., f_m^{p_m}) and an
explicit description of R^p(f) when f is monomial. For a monomial sequence f we
show that R^p(f) is independent of p if and only if f is a regular sequence.
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