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manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.

Managing Editor
K. Künnemann
Fakultät für Mathematik, Universität Regensburg,
Universitätsstr. 31, 93040 Regensburg, Germany
e-mail: klaus.kuennemann@mathematik.uni-regensburg.de

Editors
D. Abramovich
Department of Mathematics
Brown University Box 1917
151 Thayer Street, Providence, RI 02912, USA
e-mail: abrmovic@math.brown.edu

T. E. Brendle
School of Mathematics & Statistics
University of Glasgow
University Place, Glasgow G12 8QQ, UK
e-mail: tara.brendle@glasgow.ac.uk
F. Duzaar 
Department Mathematik, Universität Erlangen-Nürnberg, 
Cauerstr. 11, 91058 Erlangen, Germany
e-mail: duzaar@mi.uni-erlangen.de

N. Gigli
SISSA Trieste
via Bonomea 265
34136 Trieste, Italy
e-mail: ngigli@sissa.it

B. Howard
Department of Mathematics
Boston College
Chestnut Hill, MA 02467
USA
e-mail: howardbe@bc.edu
A. Moroianu
Laboratoire de Mathématiques d'Orsay 
Université Paris-Sud
91405 Orsay, France
e-mail: andrei.moroianu@math.cnrs.fr
J. Nicaise
Department of Mathematics
Imperial College London
South Kensington Campus
London 2W72AZ, UK 
e-mail: j.nicaise@imperial.ac.uk
J. Schwermer
Institut für Mathematik, Universität Wien,
Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
e-mail: manuscripta.mathematica@univie.ac.at 

S.W. Shin
Department of Mathematics
UC Berkeley; 901 Evans Hall
Berkeley, CA 94720, USA
e-mail: sug.woo.shin@berkeley.edu

J.-P. Tignol
Département de Mathématiques, Université
Catholique de Louvain, Chemin du Cyclotron, 2,
1348 Louvain-la-Neuve, Belgium 
e-mail: jean-pierre.tignol@uclouvain.be

Formerly edited by :
M. Barner (1969 – 1995), V. Bangert (1996 - 2017), H. Brézis (1983 – 1993), C. J. Bushnell (1997 – 1999), P.M. Cohn (1977 – 1995), F. Diamond (1999 – 2013), A. Dold (1969 – 1993), G. Frey (1995 – 1999), W.-T. Gan (2014-2019), S. Hildebrandt (1969 – 1993), E. Hlawka (1969 – 1992), T. Kato (1977 – 1993), Y. Kawamata (1994 – 1999), M. Koecher (1969 -1983), F. Knop (1995 – 1998), H. Kraft (1983 – 1995), G. Laumon (1997 – 2006), J.-S. Li (2001 – 2013), G. Mingione (2008 - 2015), R. Olivier (1993 – 2000), T. Peternell (2001 – 2013), U. Pinkall (1993 – 1997), A. Prestel (1983 – 1998), P. Roquette (1969 – 1998), L. Schwartz (2001 - 2018), A.J. Sommese (1986 – 1994), K. Steffen (1993 – 2007), K. Stein (1969 – 1983), H.G. Tillmann (1969 – 1983), J. Tits (1977 – 1990), G. Williamson (2017)