@inproceedings{57e31dea807343ac87406192cde10801,
title = "The Milnor fibre signature is not semi-continuous",
abstract = "Consider the germ of an isolated surface singularity in \$(\textbackslash{}mC\textasciicircum{}3,0)\$. The corresponding Milnor fibre possesses the homology lattice (the integral middle homology with a natural symmetric intersection form). An old question of A.Durfee (1978) asks: is the signature of this form non-increasing under degenerations? The present article answers negatively: We give examples of Newton non-degenerate families where the signature increases under degeneration. ",
author = "Dmitry Kerner and Andr{\'a}s N{\'e}methi",
year = "2011",
doi = "10.1090/conm/538/10613",
language = "English",
isbn = "9780821848906",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "369--376",
editor = "Cogolludo-Agust{\'i}n, \{Jos{\'e} Ignacio \} and Hironaka, \{Eriko \}",
booktitle = "Topology of Algebraic Varieties and Singularities",
address = "United States",
note = "Topology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday ; Conference date: 22-06-2009 Through 26-06-2009",
}