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Boucksom, Sébastien

Author ID: boucksom.sebastien Recent zbMATH articles by "Boucksom, Sébastien"
Published as: Boucksom, Sébastien; Boucksom, Sebastien; Boucksom, S.
Homepage: http://sebastien.boucksom.perso.math.cnrs.fr/
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Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,944 times in 1,018 Documents Cited by Year
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension. Zbl 1267.32017
Boucksom, Sébastien; Demailly, Jean-Pierre; Păun, Mihai; Peternell, Thomas
240
2013
Monge-Ampère equations in big cohomology classes. Zbl 1213.32025
Boucksom, Sébastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
169
2010
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed
132
2013
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083
Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
120
2019
Divisorial Zariski decompositions on compact complex manifolds. Zbl 1054.32010
Boucksom, Sébastien
120
2004
Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs. (\(K\)-stabilité uniforme, mesures de Duistermaat-Heckman et singularités de paires.) Zbl 1391.14090
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
116
2017
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 1487.32141
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
83
2021
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
79
2010
Valuations and plurisubharmonic singularities. Zbl 1146.32017
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
79
2008
Differentiability of volumes of divisors and a problem of Teissier. Zbl 1162.14003
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
78
2009
On the volume of a line bundle. Zbl 1101.14008
Boucksom, Sébastien
70
2002
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
62
2011
Okounkov bodies of filtered linear series. Zbl 1231.14020
Boucksom, Sébastien; Chen, Huayi
61
2011
Singular semipositive metrics in non-Archimedean geometry. Zbl 1346.14065
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
51
2016
Filtrations and test-configurations. With an appendix by Sebastien Boucksom. Zbl 1360.53075
Székelyhidi, Gábor
49
2015
The volume of an isolated singularity. Zbl 1251.14026
Boucksom, Sebastien; De Fernex, Tommaso; Favre, Charles
45
2012
Solution to a non-Archimedean Monge-Ampère equation. Zbl 1325.32021
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
43
2015
Tropical and non-Archimedean limits of degenerating families of volume forms. Zbl 1401.32019
Boucksom, Sébastien; Jonsson, Mattias
42
2017
Valuation spaces and multiplier ideals on singular varieties. Zbl 1330.14025
Boucksom, S.; de Fernex, T.; Favre, C.; Urbinati, S.
40
2014
Uniform K-stability and asymptotics of energy functionals in Kähler geometry. Zbl 1478.53115
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
34
2019
Degree growth of meromorphic surface maps. Zbl 1185.32009
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
32
2008
Okounkov bodies (after Okounkov, Lazarsfeld-Mustaţǎ and Kaveh-Khovanskii). (Corps d’Okounkov (d’après Okounkov Lazarsfeld-Mustaţǎ et Kaveh-Khovanskii).) Zbl 1365.14059
Boucksom, Sébastien
25
2014
An introduction to the Kähler-Ricci flow. Selected papers based on the presentations at several meetings of the ANR project MACK. Zbl 1276.53001
25
2013
Vanishing sequences and Okounkov bodies. Zbl 1325.14049
Boucksom, Sébastien; Küronya, Alex; Maclean, Catriona; Szemberg, Tomasz
24
2015
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry. Zbl 1460.32044
Boucksom, Sébastien; Eriksson, Dennis
23
2021
Uniruledness of stable base loci of adjoint linear systems via Mori theory. Zbl 1278.14021
Boucksom, Sébastien; Broustet, Amaël; Pacienza, Gianluca
22
2013
A refinement of Izumi’s theorem. Zbl 1312.13006
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
19
2014
The Kähler cone of a hyperkähler manifold. (Le cône kählérien d’une variété hyperkählérienne.) Zbl 1068.32014
Boucksom, Sébastien
18
2001
Jumping numbers of analytic multiplier ideals (with an appendix by Sébastien Boucksom). Zbl 1452.32037
Kim, Dano; Seo, Hoseob
17
2020
Regularizing properties of the Kähler-Ricci flow. Zbl 1283.53061
Boucksom, Sébastien; Guedj, Vincent
17
2013
Monge-Ampère equations on complex manifolds with boundary. Zbl 1231.32025
Boucksom, Sébastien
15
2012
Augmented base loci and restricted volumes on normal varieties. Zbl 1348.14017
Boucksom, Sébastien; Cacciola, Salvatore; Lopez, Angelo Felice
14
2014
Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture. Zbl 1447.32030
Boucksom, Sébastien
14
2018
Global pluripotential theory over a trivially valued field. Zbl 1523.32036
Boucksom, Sébastien; Jonsson, Mattias
11
2022
Duality between the pseudoeffective and the movable cone on a projective manifold. Zbl 1429.32031
Witt Nyström, David
10
2019
A non-Archimedean approach to K-stability. II: Divisorial stability and openness. Zbl 1534.14024
Boucksom, Sébastien; Jonsson, Mattias
6
2023
A note on Lang’s conjecture for quotients of bounded domains. Zbl 1464.32036
Boucksom, Sébastien; Diverio, Simone
5
2021
Differentiability of relative volumes over an arbitrary non-Archimedean field. Zbl 1498.14055
Boucksom, Sébastien; Gubler, Walter; Martin, Florent
4
2022
The non-Archimedean Monge-Ampère equation. Zbl 1360.32018
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
3
2016
Erratum to: “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”. Zbl 1483.53087
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
2
2022
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom). Zbl 1523.32055
Kim, Dano; Rashkovskii, Alexander
2
2023
Non-Archimedean Green’s functions and Zariski decompositions. (Fonctions de Green non-archimédiennes et décompositions de Zariski.) Zbl 07863252
Boucksom, Sébastien; Jonsson, Mattias
1
2024
Non-Archimedean Green’s functions and Zariski decompositions. (Fonctions de Green non-archimédiennes et décompositions de Zariski.) Zbl 07863252
Boucksom, Sébastien; Jonsson, Mattias
1
2024
A non-Archimedean approach to K-stability. II: Divisorial stability and openness. Zbl 1534.14024
Boucksom, Sébastien; Jonsson, Mattias
6
2023
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom). Zbl 1523.32055
Kim, Dano; Rashkovskii, Alexander
2
2023
Global pluripotential theory over a trivially valued field. Zbl 1523.32036
Boucksom, Sébastien; Jonsson, Mattias
11
2022
Differentiability of relative volumes over an arbitrary non-Archimedean field. Zbl 1498.14055
Boucksom, Sébastien; Gubler, Walter; Martin, Florent
4
2022
Erratum to: “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”. Zbl 1483.53087
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
2
2022
A variational approach to the Yau-Tian-Donaldson conjecture. Zbl 1487.32141
Berman, Robert J.; Boucksom, Sébastien; Jonsson, Mattias
83
2021
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry. Zbl 1460.32044
Boucksom, Sébastien; Eriksson, Dennis
23
2021
A note on Lang’s conjecture for quotients of bounded domains. Zbl 1464.32036
Boucksom, Sébastien; Diverio, Simone
5
2021
Jumping numbers of analytic multiplier ideals (with an appendix by Sébastien Boucksom). Zbl 1452.32037
Kim, Dano; Seo, Hoseob
17
2020
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. Zbl 1430.14083
Berman, Robert J.; Boucksom, Sebastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
120
2019
Uniform K-stability and asymptotics of energy functionals in Kähler geometry. Zbl 1478.53115
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
34
2019
Duality between the pseudoeffective and the movable cone on a projective manifold. Zbl 1429.32031
Witt Nyström, David
10
2019
Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture. Zbl 1447.32030
Boucksom, Sébastien
14
2018
Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs. (\(K\)-stabilité uniforme, mesures de Duistermaat-Heckman et singularités de paires.) Zbl 1391.14090
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias
116
2017
Tropical and non-Archimedean limits of degenerating families of volume forms. Zbl 1401.32019
Boucksom, Sébastien; Jonsson, Mattias
42
2017
Singular semipositive metrics in non-Archimedean geometry. Zbl 1346.14065
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
51
2016
The non-Archimedean Monge-Ampère equation. Zbl 1360.32018
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
3
2016
Filtrations and test-configurations. With an appendix by Sebastien Boucksom. Zbl 1360.53075
Székelyhidi, Gábor
49
2015
Solution to a non-Archimedean Monge-Ampère equation. Zbl 1325.32021
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
43
2015
Vanishing sequences and Okounkov bodies. Zbl 1325.14049
Boucksom, Sébastien; Küronya, Alex; Maclean, Catriona; Szemberg, Tomasz
24
2015
Valuation spaces and multiplier ideals on singular varieties. Zbl 1330.14025
Boucksom, S.; de Fernex, T.; Favre, C.; Urbinati, S.
40
2014
Okounkov bodies (after Okounkov, Lazarsfeld-Mustaţǎ and Kaveh-Khovanskii). (Corps d’Okounkov (d’après Okounkov Lazarsfeld-Mustaţǎ et Kaveh-Khovanskii).) Zbl 1365.14059
Boucksom, Sébastien
25
2014
A refinement of Izumi’s theorem. Zbl 1312.13006
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
19
2014
Augmented base loci and restricted volumes on normal varieties. Zbl 1348.14017
Boucksom, Sébastien; Cacciola, Salvatore; Lopez, Angelo Felice
14
2014
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension. Zbl 1267.32017
Boucksom, Sébastien; Demailly, Jean-Pierre; Păun, Mihai; Peternell, Thomas
240
2013
A variational approach to complex Monge-Ampère equations. Zbl 1277.32049
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed
132
2013
An introduction to the Kähler-Ricci flow. Selected papers based on the presentations at several meetings of the ANR project MACK. Zbl 1276.53001
25
2013
Uniruledness of stable base loci of adjoint linear systems via Mori theory. Zbl 1278.14021
Boucksom, Sébastien; Broustet, Amaël; Pacienza, Gianluca
22
2013
Regularizing properties of the Kähler-Ricci flow. Zbl 1283.53061
Boucksom, Sébastien; Guedj, Vincent
17
2013
The volume of an isolated singularity. Zbl 1251.14026
Boucksom, Sebastien; De Fernex, Tommaso; Favre, Charles
45
2012
Monge-Ampère equations on complex manifolds with boundary. Zbl 1231.32025
Boucksom, Sébastien
15
2012
Fekete points and convergence towards equilibrium measures on complex manifolds. Zbl 1241.32030
Berman, Robert; Boucksom, Sébastien; Witt Nyström, David
62
2011
Okounkov bodies of filtered linear series. Zbl 1231.14020
Boucksom, Sébastien; Chen, Huayi
61
2011
Monge-Ampère equations in big cohomology classes. Zbl 1213.32025
Boucksom, Sébastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed
169
2010
Growth of balls of holomorphic sections and energy at equilibrium. Zbl 1208.32020
Berman, Robert; Boucksom, Sébastien
79
2010
Differentiability of volumes of divisors and a problem of Teissier. Zbl 1162.14003
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
78
2009
Valuations and plurisubharmonic singularities. Zbl 1146.32017
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
79
2008
Degree growth of meromorphic surface maps. Zbl 1185.32009
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias
32
2008
Divisorial Zariski decompositions on compact complex manifolds. Zbl 1054.32010
Boucksom, Sébastien
120
2004
On the volume of a line bundle. Zbl 1101.14008
Boucksom, Sébastien
70
2002
The Kähler cone of a hyperkähler manifold. (Le cône kählérien d’une variété hyperkählérienne.) Zbl 1068.32014
Boucksom, Sébastien
18
2001
all top 5

Cited by 720 Authors

31 Boucksom, Sébastien
30 Berman, Robert J.
24 Jonsson, Mattias
24 Lu, Chinh Hoang
22 Darvas, Tamás
21 Guedj, Vincent
20 Li, Chi
19 Lehmann, Brian
19 Zeriahi, Ahmed
18 Guenancia, Henri
18 Xu, Chenyang
17 Di Nezza, Eleonora
16 Favre, Charles
16 Liu, Yuchen
16 Peternell, Thomas Martin
13 Höring, Andreas
13 Paun, Mihai
12 Küronya, Alex
11 Tosatti, Valentino
11 Xiao, Jian
10 Blum, Harold
10 Choi, Sung Rak
10 Fujita, Kento
10 Rubinstein, Yanir A.
10 Tanimoto, Sho
10 Witt Nyström, David
9 Hisamoto, Tomoyuki
9 Maclean, Catriona
9 Verbitsky, Misha
9 Vu, Duc-Viet
9 Yang, Xiao-Kui
8 Chen, Huayi
8 Dervan, Ruadhaí
8 Kim, Dano
8 Lazić, Vladimir
8 Tian, Gang
8 Trusiani, Antonio
8 Zhang, De-Qi
7 Berndtsson, Bo
7 Burgos Gil, José Ignacio
7 Campana, Frédéric
7 Demailly, Jean-Pierre
7 Eyssidieux, Philippe
7 Levenberg, Norman jun.
7 Matsumura, Shin-ichi
7 Odaka, Yuji
7 Rashkovskii, Alexander
7 Ross, Julius
7 Taji, Behrouz
7 Wang, Feng
7 Zhou, Chuyu
7 Zhou, Xiangyu
7 Zhuang, Ziquan
6 Cantat, Serge
6 Druel, Stéphane
6 Dujardin, Romain
6 Gongyo, Yoshinori
6 Liu, Jie
6 Meng, Sheng
6 Park, Jinhyung
6 Piazzon, Federico
6 Won, Joonyeong
6 Zhang, Kewei
5 Apostolov, Vestislav
5 Bloom, Thomas
5 Botero, Ana María
5 Cao, Junyan
5 Chu, Jianchun
5 Codogni, Giulio
5 Collins, Tristan Clifford
5 Cutkosky, Steven Dale
5 Dang, Nguyen-Bac
5 Delcroix, Thibaut
5 Farkas, Gavril
5 Knutsen, Andreas Leopold
5 Li, Long
5 Lopez, Angelo Felice
5 Massarenti, Alex
5 Moriwaki, Atsushi
5 Nicaise, Johannes
5 Ou, Wenhao
5 Pacienza, Gianluca
5 Rousseau, Erwan
5 Sombra, Martín
5 Takahashi, Ryosuke
5 Tien Cuong Dinh
5 Toma, Matei
5 Touzet, Frédéric
5 Urbinati, Stefano
5 Vianello, Marco
5 Wang, Zhiwei
5 Weinkove, Ben
5 Wulcan, Elizabeth
5 Xia, Mingchen
5 Yu, Tony Yue
5 Zhang, Yashan
5 Zhong, Guolei
5 Zhu, Xiaohua
4 Bos, Len P.
4 Cadorel, Benoît
...and 620 more Authors
all top 5

Cited in 167 Serials

60 Mathematische Zeitschrift
49 Mathematische Annalen
44 Advances in Mathematics
40 Journal für die Reine und Angewandte Mathematik
38 Annales de l’Institut Fourier
33 The Journal of Geometric Analysis
26 Inventiones Mathematicae
25 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
23 Compositio Mathematica
22 International Journal of Mathematics
19 Duke Mathematical Journal
19 Journal of Algebraic Geometry
18 Transactions of the American Mathematical Society
15 Proceedings of the American Mathematical Society
15 Journal of the European Mathematical Society (JEMS)
14 Oberwolfach Reports
13 Michigan Mathematical Journal
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 European Journal of Mathematics
11 Geometry & Topology
11 Journal de l’École Polytechnique – Mathématiques
10 Annales Polonici Mathematici
10 Journal of Differential Geometry
10 Manuscripta Mathematica
10 Journal of the American Mathematical Society
10 Journal of the Institute of Mathematics of Jussieu
10 Analysis & PDE
10 Forum of Mathematics, Sigma
9 Journal of the London Mathematical Society. Second Series
9 Proceedings of the London Mathematical Society. Third Series
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Annals of Mathematics. Second Series
8 Communications on Pure and Applied Mathematics
8 Bulletin of the London Mathematical Society
8 Journal of Algebra
8 Journal of Functional Analysis
8 Mathematische Nachrichten
8 Selecta Mathematica. New Series
8 Algebra & Number Theory
8 Science China. Mathematics
8 Kyoto Journal of Mathematics
7 Indiana University Mathematics Journal
7 Calculus of Variations and Partial Differential Equations
6 Journal of Pure and Applied Algebra
6 Pacific Journal of Mathematics
6 Documenta Mathematica
5 Communications in Mathematical Physics
5 Journal of Mathematical Analysis and Applications
5 Acta Mathematica
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Tôhoku Mathematical Journal. Second Series
5 Annals of Global Analysis and Geometry
5 Geometric and Functional Analysis. GAFA
5 Journal of High Energy Physics
4 Analysis Mathematica
4 Acta Mathematica Vietnamica
4 American Journal of Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Nagoya Mathematical Journal
4 Constructive Approximation
4 Potential Analysis
4 Communications in Contemporary Mathematics
4 Computational Methods and Function Theory
4 Milan Journal of Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Bollettino dell’Unione Matematica Italiana
4 Peking Mathematical Journal
4 Annales Henri Lebesgue
3 Osaka Journal of Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Revista Matemática Iberoamericana
3 Izvestiya: Mathematics
3 Taiwanese Journal of Mathematics
3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Journal of Modern Dynamics
3 Dolomites Research Notes on Approximation
2 Communications in Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Mathematics of Computation
2 Journal of Geometry and Physics
2 Beiträge zur Algebra und Geometrie
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin de la Société Mathématique de France
2 Commentarii Mathematici Helvetici
2 Geometriae Dedicata
2 Publications Mathématiques
2 Journal of Approximation Theory
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Chinese Annals of Mathematics. Series B
2 IMRN. International Mathematics Research Notices
2 SIAM Journal on Scientific Computing
2 Bulletin des Sciences Mathématiques
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Central European Journal of Mathematics
2 Journal of Algebra and its Applications
2 Proceedings of the Steklov Institute of Mathematics
...and 67 more Serials
all top 5

Cited in 45 Fields

615 Algebraic geometry (14-XX)
575 Several complex variables and analytic spaces (32-XX)
256 Differential geometry (53-XX)
57 Dynamical systems and ergodic theory (37-XX)
43 Global analysis, analysis on manifolds (58-XX)
42 Partial differential equations (35-XX)
36 Number theory (11-XX)
36 Commutative algebra (13-XX)
16 Convex and discrete geometry (52-XX)
15 General and overarching topics; collections (00-XX)
14 Potential theory (31-XX)
13 Approximations and expansions (41-XX)
13 Probability theory and stochastic processes (60-XX)
11 Manifolds and cell complexes (57-XX)
10 Numerical analysis (65-XX)
8 Group theory and generalizations (20-XX)
8 Quantum theory (81-XX)
8 Relativity and gravitational theory (83-XX)
7 Functions of a complex variable (30-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 General algebraic systems (08-XX)
6 Geometry (51-XX)
5 Mathematical logic and foundations (03-XX)
4 Combinatorics (05-XX)
4 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Statistics (62-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
2 Operations research, mathematical programming (90-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Computer science (68-XX)

Citations by Year

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