TY - JOUR
T1 - The strong monodromy conjecture for monomial ideals on toric varieties
AU - Hsiao, Jen Chieh
AU - Lai, Ching Jui
N1 - Funding Information:
J.C.H. is partially supported by MOST grant 105-2115-M-006-015-MY2. C. J. L. is partially supported by MOST grant 106-2115-M-006 -019. The first author thanks Laura Matusevich for carefully reading the first draft of this paper. He is also grateful to Uli Walther for his comment on the expression of the poles of the motivic zeta funcions.
Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.
PY - 2019/6/3
Y1 - 2019/6/3
N2 - We compute Denef and Loeser’s motivic zeta function associated to a monomial ideal on an affine toric variety, generalizing a result of Howald, Mustaţă, and Yuen. We also investigate the relation between the poles of the motivic zeta function and the roots of their corresponding Bernstein–Sato polynomial defined by the first author and Matusevich.
AB - We compute Denef and Loeser’s motivic zeta function associated to a monomial ideal on an affine toric variety, generalizing a result of Howald, Mustaţă, and Yuen. We also investigate the relation between the poles of the motivic zeta function and the roots of their corresponding Bernstein–Sato polynomial defined by the first author and Matusevich.
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U2 - 10.1080/00927872.2018.1444172
DO - 10.1080/00927872.2018.1444172
M3 - Article
AN - SCOPUS:85044191903
SN - 0092-7872
VL - 47
SP - 2426
EP - 2435
JO - Communications in Algebra
JF - Communications in Algebra
IS - 6
ER -