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Volume 18: Special volume in honor of the life and mathematics of Egbert Brieskorn |
Contents
| Preface | i |
| Editors: Gert-Martin Greuel, Helmut A. Hamm, Lê Dũng Tráng | |
Part 0: History
| Life and work of Egbert Brieskorn (1936-2013) | 1 |
| Gert-Martin Greuel and Walter Purkert | |
| Singularities and Polyhedra | 29 |
| Egbert Brieskorn | |
| Singularities and Exotic Spheres | 35 |
| Friedrich Hirzebruch | |
Part I: Analytic Methods
| On the b-exponents of generic isolated plane curve singularities | 36 |
| E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo, and A. Melle-Hernández | |
The Sheaf 
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50 |
| Daniel Barlet | |
| Brieskorn and the monodromy | 84 |
| Jean-Paul Brasselet and Marcos Sebastiani | |
| Foliations by curves uniquely determined by minimal subschemes of its singularities | 105 |
| Antonio Campillo and Jorge Olivares | |
| On 1-forms on isolated complete intersection curve singularities | 114 |
| Alexandru Dimca and Gert-Martin Greuel | |
| μ-constant monodromy groups and Torelli results for the quadrangle singularities and the bimodal series | 119 |
| Falko Gauss and Claus Hertling | |
| Picard groups for line bundles with connections | 215 |
| Helmut A. Hamm and Lê Dũng Tráng | |
| Some properties and applications of Brieskorn lattices | 238 |
| Claude Sabbah | |
| On the structure of Brieskorn lattices, II | 248 |
| Morihiko Saito | |
| A residual duality over Gorenstein rings with application to logarithmic differential forms | 272 |
| Mathias Schulze and Laura Tozzo | |
Part II: Topology and Real Singularities
| A zoo of geometric homology theories | 300 |
| Matthias Kreck | |
| Morsifications of real plane curve singularities | 307 |
| Peter Leviant and Eugenii Shustin | |
| Smooth mixed projective curves and a conjecture | 329 |
| Mutsuo Oka | |
| Lacunas and local algebraicity of volume functions | 350 |
| V. A. Vassiliev | |
Part III: Algebraic Methods and Algebraic Geometry
| Schubert Decomposition for Milnor Fibers of the Varieties of Singular Matrices | 358 |
| James Damon | |
| A McKay correspondence for the Poincaré series of some finite subgroups of SL_3(C) | 397 |
| Wolfgang Ebeling | |
| Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view | 409 |
| Gil Goldman, Yehonatan Salman, and Yosef Yomdin | |
| Noncommutative Deformations of Thick Points | 427 |
| Olav Arnfinn Laudal | |
| Strata of discriminantal arrangements | 440 |
| Anatoly Libgober and Simona Settepanella | |
| On a discriminant knot group problem of Brieskorn | 455 |
| Michael Lönne | |
| Linear subspace arrangements associated with normal surface singularities | 464 |
| András Némethi | |
| Kulikov singularities | 477 |
| Jan Stevens | |
| Remarks on the Gaudin model modulo p | 486 |
| Alexander Varchenko | |