Singularities: The Brieskorn Anniversary VolumeIn July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn's own interests. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrates the breadth of Brieskorn's own interests. |
Contents
V | 3 |
VI | 4 |
VII | 6 |
VIII | 17 |
IX | 26 |
X | 27 |
XIII | 29 |
XIV | 32 |
LXXXVIII | 214 |
LXXXIX | 222 |
XC | 226 |
XCI | 233 |
XCII | 235 |
XCIII | 237 |
XCIV | 239 |
XCV | 241 |
XV | 36 |
XVI | 37 |
XIX | 38 |
XX | 48 |
XXI | 59 |
XXII | 61 |
XXIII | 63 |
XXIV | 67 |
XXV | 70 |
XXVI | 73 |
XXVII | 78 |
XXVIII | 87 |
XXIX | 92 |
XXX | 93 |
XXXIII | 94 |
XXXIV | 96 |
XXXV | 98 |
XXXVI | 100 |
XXXVII | 101 |
XXXVIII | 103 |
XLI | 104 |
XLII | 108 |
XLIII | 111 |
XLIV | 114 |
XLV | 117 |
XLVI | 119 |
XLVII | 120 |
XLVIII | 123 |
XLIX | 126 |
L | 127 |
LI | 129 |
LII | 134 |
LIII | 135 |
LIV | 138 |
LV | 141 |
LVIII | 142 |
LIX | 143 |
LX | 145 |
LXI | 146 |
LXII | 150 |
LXIII | 152 |
LXIV | 155 |
LXV | 158 |
LXVI | 159 |
LXVII | 165 |
LXVIII | 167 |
LXXI | 170 |
LXXII | 174 |
LXXIII | 179 |
LXXIV | 182 |
LXXV | 187 |
LXXVI | 192 |
LXXVII | 195 |
LXXVIII | 198 |
LXXIX | 199 |
LXXX | 202 |
LXXXI | 203 |
LXXXIII | 205 |
LXXXVI | 207 |
LXXXVII | 211 |
XCVI | 242 |
XCVII | 244 |
XCVIII | 246 |
XCIX | 249 |
C | 251 |
CI | 252 |
CII | 254 |
CIII | 258 |
CIV | 261 |
CV | 263 |
CVI | 264 |
CVII | 266 |
CVIII | 267 |
CIX | 271 |
CX | 273 |
CXI | 277 |
CXII | 280 |
CXIII | 285 |
CXIV | 289 |
CXVI | 293 |
CXVII | 295 |
CXVIII | 306 |
CXIX | 315 |
CXX | 317 |
CXXIII | 321 |
CXXIV | 324 |
CXXV | 334 |
CXXVI | 341 |
CXXVII | 345 |
CXXX | 348 |
CXXXI | 352 |
CXXXII | 355 |
CXXXIII | 358 |
CXXXIV | 361 |
CXL | 363 |
CXLI | 370 |
CXLII | 396 |
398 | |
CXLIV | 399 |
CXLVI | 400 |
CXLVII | 404 |
CXLVIII | 407 |
CXLIX | 409 |
CL | 410 |
CLI | 413 |
CLII | 416 |
CLIII | 422 |
CLIV | 430 |
CLV | 431 |
CLVI | 433 |
CLVII | 435 |
CLVIII | 437 |
CLIX | 440 |
CLX | 444 |
CLXI | 447 |
CLXII | 452 |
CLXIII | 454 |
CLXIV | 457 |
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Common terms and phrases
algebraic analytic assume automorphism Birkhäuser blowup Brieskorn bundle canonical cohomology complete intersection complex components computed cone coordinates Corollary corresponding Coxeter-Dynkin diagram critical points critical values curve ƒ cusps defined deformation denote diagram Dijk dimension divisor DPMHS equivalent example fiber fibration finite follows formula function ğ Geometry germ hence Hodge numbers holomorphic homeomorphism homology hyperbolic hypersurface ideal induced integral invariants irreducible isolated singularity isomorphic Lemma Math Milnor fibre Milnor number mixed Hodge structure module monodromy group monomial multiplicity obtain oriented Picard-Lefschetz formula plane curve plane curve singularities POL(W polynôme polynomial projective Proof Proposition quotient resolution resolution of singularities resp respectively Section sequence shadow smooth space strict transform subset subspace surface surjective tangent Theorem topological Torelli theorem toric vanishing cycles vector fields Zariski zero