Publications

  

MATH PAPERS

Preprints 


Walter Neumann's contributions to Lipschitz geometry of singularities
Lev Birbrair, Anne Pichon, to appear in Celebratio Mathematica, volume dedicated to Walter Neumann

 On Lipschitz normally embedded singularities
Lorenzo Fantini, Anne Pichon, to appear in Handbook of Geometry and Topology of Singularities IV
Lipschitz geometry of complex surfaces: analytic invariants and equisingularity
Walter Neumann, Anne Pichon, 2014, 57 pages, arXiv:1211.4897.

Publications in journals or proceedings with peer review process
29- Polar exploration of complex surface germs
André Belotto da Silva, Lorenzo Fantini, Andras Némethi, Anne Pichon
Compos. Math. (2022), no. 3, 623-653.

28- On Lipschitz normally embedded complex surface germs
André Belotto da Silva, Lorenzo Fantini, Anne Pichon
Compos. Math. (2022), no. 3, 623-653.

27- Inner geometry of complex surfaces: a valuative approach
André Belotto da Silva, Lorenzo Fantini, Anne Pichon, Geom. Topol. 26 (2022), no1, 163-219.

26- Lipschitz normal embedding among superisolated singularities 
Filip Misev, Anne Pichon, Int. Math. Res. Not. IMRN 2021, no. 17, 13546–13569.

25- An introduction to Lipschitz geometry of complex singularities
Anne Pichon, in Introduction to Lipschitz geometry of singularities, 167–216, Lecture Notes in Math., 2280, Springer, Cham, [2020].

24- Minimal surface singularities are Lipschitz normally embedded
Helge Pedersen, Walter Neumann, Anne Pichon, J. Lond. Math. Soc. (2) 101 (2020), no. 2 641-658.

23- A characterization of Lipschitz normally embedded surface singularities
Helge Pedersen, Walter Neumann, Anne Pichon, J. Lond. Math. Soc. (2) 101 (2020), no. 2, 612-640.

22- A topological introduction to Lipschitz geometry of complex singularities
Anne Pichon, Winter Braids Lect. Notes 6 (2019), Winter Braids IX, Exp. No 3, 17 pp.
 
21- A non normally embedded complex normal surface with normally embedded reduced tangent cone
 Walter Neumann, Anne Pichon, Appendix to Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded, by Alexandre Fernandes and Edson Sampaio, IMRN (2018).

20- Lipschitz geometry does not determine the embedded topological type
Walter Neumann, Anne Pichon, Singularities in geometry, topology, foliations and dynamics, 183-195, Trends Math., Birkhäuser/Springer, Cham, 2017.
19- Carrousel in family and non-isolated singularities of hypersurfaces in C^3
Françoise Michel, Anne Pichon, J. Reine Angew. Math. 720 (2016), 1–32. 

18- The thick-thin decomposition and the bilipschitz classification of normal surface singularities
Lev Birbrair, Walter Neumann, Anne Pichon, Acta Math. 212 (2014), 199—256.  pdf (arXiv:1105.3327)
17- Lipschitz geometry of complex curves
Walter Neumann, Anne Pichon, Journal of Singularities, volume 10 (2014), 225-234.

16- Milnor fibrations and Thom's a_f-property for maps f \bar{g}
Anne Pichon, José Seade, Journal of Singularities volume 3 (2011), 144-150.  Erratum

15- Principal analytic link theory in integral homology spheres
Andras Némethi, Walter Neumann, Anne Pichon, in "Topology of Algebraic Varieties and Singularities", Contemporary Mathematics 538 (2011), 377-387.
14- Milnor fibrations of meromorphic functions
Arnaud Bodin, Anne Pichon, José Seade, Journal of the London Mathematical Society 80 (2009), 311-325.

13- The boundary of the Milnor fiber of of some non-isolated  singularities
 Françoise Michel, Anne Pichon , Claude Weber, Osaka Journal of Math, Vol. 46 n°1 (2009), 291-316.
12- Fibred multilinks and singularities f \bar{g}
Anne Pichon, José Seade, Math. Ann. 324 (2008), 487-514.

11- Complex analytic realization of links
Walter Neumann, Anne Pichon, Proceedings of the international conference, "Intelligence of Low Dimensional Topology 2006", Series on Knots and Everything n° 40, World Scientific Publishing Co.

10- Meromorphic functions, bifurcation sets and fibred links
Arnaud Bodin, Anne Pichon, Math. Res. Lett. 14 (2007), no. 3, 413-422.

9- The boundary of the Milnor fiber of Hirzebruch surface singularities
Françoise Michel, Anne Pichon, Claude Weber, Singularity Theory, proceedings of the 2005 Marseille Singularity School and Conference, World Scientific (2007).

8- Lê's Conjecture for Cyclic Covers
Ignacio Luengo Velasco, Anne Pichon, Séminaires et Congrès, Publications de la SMF (2005), éd. J.-P. Brasselet et T. Suwa, pp. 163-190.

7- Real analytic germs f \bar{g} and open-book decompositions of the 3-sphere
Anne Pichon, International Journal of Mathematics, Vol. 16, No1 (2005), 1-12.

6- On the boundary of the Milnor fibre of non-isolated singularities
Françoise Michel, Anne Pichon, International Math. Research Notices, no 43 (2003), 1305-1311. Erratum in
Int. Math. Res. Not. (2004), no. 6, 309-310.
  
5- Real singularities and open-book decomposition of the 3-sphere
Anne Pichon, José Seade, Annales de la Faculté des Sciences de Toulouse,  Vol. XII, no 2, (2003) p. 245-265. 

4- Fibrations sur le cercle et surfaces complexes
Anne Pichon, Annales de l'Institut Fourier, 51 (2001), 337--374. 

3- Three- dimensional manifolds which are the boundary of a normal singularity z^k-f(x,y)=0
Anne Pichon, Mathematische Zeitschrift, 231 (1999), 625-654.

2- Variétés de Waldhausen et fibrations sur le cercle
Anne Pichon, C.R. Acad. Sci. Paris 324 (1997), 655-658.

1- Singularities of complex surfaces with equations z^k-f(x,y)=0
Anne Pichon, International Mathematics Research Notices, 1997 no 5, p. 241-246.

EDITION

Introduction to Lipschitz geometry of singularities,
Lecture Notes in Math., 2280, Springer, Cham, [2020].
Editors: Walter Neumann and Anne Pichon

Singularity Theory
Proceedings of the 2005 Marseille Singularity School and Conference, Luminy, Word Scientific 2007.
Editors: D. Chéniot, N. Dutertre, C. Murolo, A. Pichon, D. Trotman.

OTHER PUBLICATIONS

Des installations de plumes d'Isa Barbier aux entrelacs ornementaux : une géométrie de l'espace interdit
Anne Pichon, Espaces transfigurés, à partir de l'œuvre de Georges Rousse, Figure de l'Art no. 13 (2007).