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Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
Zeta functions Bernstein-Sato polynomials ideals dimension two
2011/2/28
For a nonzero ideal I ⊳C[x1, . . . , xn], with 0 ∈ supp I, a (general-ized) conjecture of Igusa–Denef–Loeser predicts that every pole of its topologi-cal zeta function is a root of its Bernstein...
Generalizing Tanisaki's ideal via ideals of truncated symmetric functions
Generalizing Tanisaki's ideal ideals of truncated symmetric functions
2011/1/19
We dene a family of ideals Ih in the polynomial ring Z[x1; x2; : : : ; xn] that are
parametrized by Hessenberg functions h (equivalently Dyck paths or ample partitions). The
ideals Ih generalize al...