Milnor fibers over singular toric varieties and nearby cycle sheaves
Matsui, Yutaka ; Takeuchi, Kiyoshi
Tohoku Math. J. (2), Tome 63 (2011) no. 1, p. 113-136 / Harvested from Project Euclid
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We apply sheaf-theoretical methods to monodromy zeta functions of Milnor fibrations. Classical formulas due to Kushnirenko, Varchenko and Oka, etc. on polynomials over the complex affine space will be generalized to polynomial functions over any toric variety. Moreover our results enable us to calculate the monodromy zeta functions of any constructible sheaf.
Publié le : 2011-05-15
Classification:  Milnor fibers,  Toric varieties,  monodromy zeta functions,  32S55,  32S60,  32S40,  14M25,  52B20 
@article{1303219938,
     author = {Matsui, Yutaka and Takeuchi, Kiyoshi},
     title = {Milnor fibers over singular toric varieties and nearby cycle sheaves},
     journal = {Tohoku Math. J. (2)},
     volume = {63},
     number = {1},
     year = {2011},
     pages = { 113-136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1303219938}
}

Matsui, Yutaka; Takeuchi, Kiyoshi. Milnor fibers over singular toric varieties and nearby cycle sheaves. Tohoku Math. J. (2), Tome 63 (2011) no. 1, pp.  113-136. http://gdmltest.u-ga.fr/item/1303219938/