caa a22 4500 445884088 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10711-010-9560-1 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9560-1 The Monodromy Conjecture for hyperplane arrangements [Elektronische Daten] [Nero Budur, Mircea Mustaţă, Zach Teitler] The Monodromy Conjecture asserts that if c is a pole of the local topological zeta function of a hypersurface, then exp(2πic) is an eigenvalue of the monodromy on the cohomology of the Milnor fiber. A stronger version of the conjecture asserts that every such c is a root of the Bernstein-Sato polynomial of the hypersurface. In this note we prove the weak version of the conjecture for hyperplane arrangements. Furthermore, we reduce the strong version to the following conjecture: −n/d is always a root of the Bernstein-Sato polynomial of an indecomposable essential central hyperplane arrangement of d hyperplanes in C n . Springer Science+Business Media B.V., 2011 Monodromy Conjecture nationallicence Hyperplane arrangements nationallicence Budur Nero Department of Mathematics, University of Notre Dame, 255 Hurley Hall, 46556, Notre Dame, IN, USA aut Mustaţă Mircea Department of Mathematics, University of Michigan, 2844 East Hall, 530 Church Street, 48109-1043, Ann Arbor, MI, USA aut Teitler Zach Department of Mathematics, Boise State University, 1910 University Drive, 83725-1555, Boise, ID, USA aut Geometriae Dedicata Springer Netherlands 153/1(2011-08-01), 131-137 0046-5755 153:1<131 2011 153 10711 https://doi.org/10.1007/s10711-010-9560-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9560-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Budur Nero Department of Mathematics, University of Notre Dame, 255 Hurley Hall, 46556, Notre Dame, IN, USA aut NATIONALLICENCE 700 1- Mustaţă Mircea Department of Mathematics, University of Michigan, 2844 East Hall, 530 Church Street, 48109-1043, Ann Arbor, MI, USA aut NATIONALLICENCE 700 1- Teitler Zach Department of Mathematics, Boise State University, 1910 University Drive, 83725-1555, Boise, ID, USA aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 153/1(2011-08-01), 131-137 0046-5755 153:1<131 2011 153 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer