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Gross, Mark

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Author ID: gross.mark.1 Recent zbMATH articles by "Gross, Mark"
Published as: Gross, Mark
External Links: MGP · Wikidata · GND
Documents Indexed: 58 Publications since 1992, including 4 Books

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 977 times in 597 Documents Cited by Year
Canonical bases for cluster algebras. Zbl 1446.13015
Gross, Mark; Hacking, Paul; Keel, Sean; Kontsevich, Maxim
93
2018
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
61
2011
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
55
2013
Large complex structure limits of \(K3\) surfaces. Zbl 1027.32021
Gross, Mark; Wilson, P. M. H.
54
2000
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
Gross, Mark (ed.); Huybrechts, Daniel (ed.); Joyce, Dominic (ed.)
47
2003
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
44
2006
Mirror symmetry for log Calabi-Yau surfaces. I. Zbl 1351.14024
Gross, Mark; Hacking, Paul; Keel, Sean
42
2015
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
38
2009
Birational geometry of cluster algebras. Zbl 1322.14032
Gross, Mark; Hacking, Paul; Keel, Sean
32
2015
A finiteness theorem for elliptic Calabi-Yau threefolds. Zbl 0838.14033
Gross, Mark
30
1994
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
29
2010
Calabi-Yau threefolds and moduli of Abelian surfaces. I. Zbl 1063.14051
Gross, Mark; Popescu, Sorin
29
2001
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
27
2010
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
26
2013
Tropical geometry and mirror symmetry. Zbl 1215.14061
Gross, Mark
25
2011
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
25
2003
Topological mirror symmetry. Zbl 1077.14052
Gross, Mark
19
2001
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
17
2017
Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021
Dolgachev, Igor; Gross, Mark
16
1994
Examples of special Lagrangian fibrations. Zbl 1034.53054
Gross, Mark
15
2001
Mirror symmetry and the Strominger-Yau-Zaslow conjecture. Zbl 1294.14015
Gross, Mark
14
2013
Quivers, curves, and the tropical vertex. Zbl 1227.14049
Gross, Mark; Pandharipande, Rahul
14
2010
Deforming Calabi-Yau threefolds. Zbl 0935.14026
Gross, Mark
14
1997
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
13
2011
Mirror symmetry for \(\mathbb P^2\) and tropical geometry. Zbl 1190.14038
Gross, Mark
13
2010
Special Lagrangian fibrations. II: Geometry. A survey of techniques in the study of special Lagrangian fibrations. Zbl 1079.14520
Gross, Mark
13
1999
Equations of \((1,d)\)-polarized abelian surfaces. Zbl 0922.14030
Gross, Mark; Popescu, Sorin
13
1998
Primitive Calabi-Yau threefolds. Zbl 0874.32010
Gross, Mark
13
1997
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
12
2016
Toric degenerations and Batyrev-Borisov duality. Zbl 1086.14035
Gross, Mark
12
2005
Special Lagrangian fibrations. I: Topology. Zbl 0964.14033
Gross, Mark
12
1998
Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds. Zbl 0901.14024
Gross, Mark; Wilson, P. M. H.
12
1997
Moduli of surfaces with an anti-canonical cycle. Zbl 1330.14062
Gross, Mark; Hacking, Paul; Keel, Sean
11
2015
The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations. Zbl 1173.14031
Gross, Mark
11
2009
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0957.32502
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
9
1996
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0908.32006
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
8
1996
The greedy basis equals the theta basis: A rank two haiku. Zbl 1403.13036
Cheung, Man Wai; Gross, Mark; Muller, Greg; Musiker, Gregg; Rupel, Dylan; Stella, Salvatore; Williams, Harold
7
2017
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
6
2016
The distribution of bidegrees of smooth surfaces in \(Gr(1,\mathbb{P}^ 3)\). Zbl 0741.14017
Gross, Mark
6
1992
The deformation space of Calabi-Yau \(n\)-folds with canonical singularities can be obstructed. Zbl 0921.14027
Gross, Mark
5
1997
Elliptic three-folds. II: Multiple fibres. Zbl 0884.14017
Gross, Mark
5
1997
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
4
2018
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
4
2014
A Calabi-Yau threefold with Brauer group \((\mathbb Z/8\mathbb Z)^2\). Zbl 1127.14036
Gross, Mark; Pavanelli, Simone
4
2008
The moduli space of \((1,11)\)-polarized Abelian surfaces is unirational. Zbl 1015.14022
Gross, Mark; Popescu, Sorin
4
2001
Surfaces of bidegree \((3,n)\) in \(\text{Gr}(1,\mathbb{P}^ 3)\). Zbl 0812.14033
Gross, Mark
4
1993
Calabi-Yau three-folds and moduli of abelian surfaces. II. Zbl 1228.14039
Gross, Mark; Popescu, Sorin
3
2011
Calabi-Yau manifolds and mirror symmetry. Zbl 1014.14019
Gross, Mark
2
2003
Surfaces of degree 10 in \(Gr(1,\mathbb{P}{}^ 3)\). Zbl 0761.14012
Gross, Mark
2
1993
On homological mirror symmetry of toric Calabi-Yau threefolds. Zbl 07031022
Gross, Mark; Matessi, Diego
1
2019
Special Lagrangian fibrations. I: Topology. Zbl 1028.14014
Gross, Mark
1
2001
Connecting the web: A prognosis. Zbl 0928.32009
Gross, Mark
1
1999
On homological mirror symmetry of toric Calabi-Yau threefolds. Zbl 07031022
Gross, Mark; Matessi, Diego
1
2019
Canonical bases for cluster algebras. Zbl 1446.13015
Gross, Mark; Hacking, Paul; Keel, Sean; Kontsevich, Maxim
93
2018
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
4
2018
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
17
2017
The greedy basis equals the theta basis: A rank two haiku. Zbl 1403.13036
Cheung, Man Wai; Gross, Mark; Muller, Greg; Musiker, Gregg; Rupel, Dylan; Stella, Salvatore; Williams, Harold
7
2017
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
12
2016
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
6
2016
Mirror symmetry for log Calabi-Yau surfaces. I. Zbl 1351.14024
Gross, Mark; Hacking, Paul; Keel, Sean
42
2015
Birational geometry of cluster algebras. Zbl 1322.14032
Gross, Mark; Hacking, Paul; Keel, Sean
32
2015
Moduli of surfaces with an anti-canonical cycle. Zbl 1330.14062
Gross, Mark; Hacking, Paul; Keel, Sean
11
2015
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
4
2014
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
55
2013
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
26
2013
Mirror symmetry and the Strominger-Yau-Zaslow conjecture. Zbl 1294.14015
Gross, Mark
14
2013
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
61
2011
Tropical geometry and mirror symmetry. Zbl 1215.14061
Gross, Mark
25
2011
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
13
2011
Calabi-Yau three-folds and moduli of abelian surfaces. II. Zbl 1228.14039
Gross, Mark; Popescu, Sorin
3
2011
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
29
2010
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
27
2010
Quivers, curves, and the tropical vertex. Zbl 1227.14049
Gross, Mark; Pandharipande, Rahul
14
2010
Mirror symmetry for \(\mathbb P^2\) and tropical geometry. Zbl 1190.14038
Gross, Mark
13
2010
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
38
2009
The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations. Zbl 1173.14031
Gross, Mark
11
2009
A Calabi-Yau threefold with Brauer group \((\mathbb Z/8\mathbb Z)^2\). Zbl 1127.14036
Gross, Mark; Pavanelli, Simone
4
2008
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
44
2006
Toric degenerations and Batyrev-Borisov duality. Zbl 1086.14035
Gross, Mark
12
2005
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
Gross, Mark (ed.); Huybrechts, Daniel (ed.); Joyce, Dominic (ed.)
47
2003
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
25
2003
Calabi-Yau manifolds and mirror symmetry. Zbl 1014.14019
Gross, Mark
2
2003
Calabi-Yau threefolds and moduli of Abelian surfaces. I. Zbl 1063.14051
Gross, Mark; Popescu, Sorin
29
2001
Topological mirror symmetry. Zbl 1077.14052
Gross, Mark
19
2001
Examples of special Lagrangian fibrations. Zbl 1034.53054
Gross, Mark
15
2001
The moduli space of \((1,11)\)-polarized Abelian surfaces is unirational. Zbl 1015.14022
Gross, Mark; Popescu, Sorin
4
2001
Special Lagrangian fibrations. I: Topology. Zbl 1028.14014
Gross, Mark
1
2001
Large complex structure limits of \(K3\) surfaces. Zbl 1027.32021
Gross, Mark; Wilson, P. M. H.
54
2000
Special Lagrangian fibrations. II: Geometry. A survey of techniques in the study of special Lagrangian fibrations. Zbl 1079.14520
Gross, Mark
13
1999
Connecting the web: A prognosis. Zbl 0928.32009
Gross, Mark
1
1999
Equations of \((1,d)\)-polarized abelian surfaces. Zbl 0922.14030
Gross, Mark; Popescu, Sorin
13
1998
Special Lagrangian fibrations. I: Topology. Zbl 0964.14033
Gross, Mark
12
1998
Deforming Calabi-Yau threefolds. Zbl 0935.14026
Gross, Mark
14
1997
Primitive Calabi-Yau threefolds. Zbl 0874.32010
Gross, Mark
13
1997
Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds. Zbl 0901.14024
Gross, Mark; Wilson, P. M. H.
12
1997
The deformation space of Calabi-Yau \(n\)-folds with canonical singularities can be obstructed. Zbl 0921.14027
Gross, Mark
5
1997
Elliptic three-folds. II: Multiple fibres. Zbl 0884.14017
Gross, Mark
5
1997
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0957.32502
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
9
1996
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0908.32006
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
8
1996
A finiteness theorem for elliptic Calabi-Yau threefolds. Zbl 0838.14033
Gross, Mark
30
1994
Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021
Dolgachev, Igor; Gross, Mark
16
1994
Surfaces of bidegree \((3,n)\) in \(\text{Gr}(1,\mathbb{P}^ 3)\). Zbl 0812.14033
Gross, Mark
4
1993
Surfaces of degree 10 in \(Gr(1,\mathbb{P}{}^ 3)\). Zbl 0761.14012
Gross, Mark
2
1993
The distribution of bidegrees of smooth surfaces in \(Gr(1,\mathbb{P}^ 3)\). Zbl 0741.14017
Gross, Mark
6
1992
all top 5

Cited by 715 Authors

19 Gross, Mark
11 Morrison, David R.
10 Ruddat, Helge P.
10 Taylor, Washington IV
9 Chen, Qile
9 Katzarkov, Ludmil
9 Tosatti, Valentino
8 Ranganathan, Dhruv
8 Siebert, Bernd
7 Cao, Peigen
7 Lau, Siu-Cheong
7 Li, Fang
7 Sawon, Justin
7 Wise, Jonathan
6 Borisov, Lev A.
6 Chan, Kwokwai
6 Mandel, Travis
6 Markwig, Hannah
6 Stoppa, Jacopo
6 Yu, Tony Yue
5 Abramovich, Dan
5 Anderson, Lara B.
5 Gray, James A.
5 Lee, Nam-Hoon
5 Oguiso, Keiji
5 Parker, Brett
5 Sibilla, Nicolò
5 Stella, Salvatore
5 Talpo, Mattia
5 Zhang, Yuguang
5 Zhu, Yi
5 Zinger, Aleksey
4 Abouzaid, Mohammed
4 Allegretti, Dylan Gregory Lucasi
4 Braun, Andreas P.
4 Bucher, Eric
4 Cecotti, Sergio
4 Farajzadeh Tehrani, Mohammad
4 Filippini, Sara Angela
4 Harder, Andrew
4 Pandharipande, Rahul
4 Pascaleff, James
4 Pelayo, Alvaro
4 Prince, Thomas M.
4 Przhiyalkovskiĭ, Viktor Vladimirovich
4 Reading, Nathan
4 Reineke, Markus
4 Serhiyenko, Khrystyna
4 Song, Jian
4 Tian, Gang
4 van Garrel, Michel
4 Verbitsky, Misha
4 Williams, Harold
4 Zhang, Yashan
4 Zharkov, Ilia
3 Acharya, Bobby Samir
3 Arrondo, Enrique
3 Bayer, Arend
3 Bossinger, Lara
3 Braun, Volker
3 Camere, Chiara
3 Dimofte, Tudor Dan
3 Fisher, Tom A.
3 Fraser, Chris
3 Gao, Xin
3 Hein, Hans-Joachim
3 Jian, Wangjian
3 Jockers, Hans
3 Kanazawa, Atsushi
3 Kapustka, Michał
3 Katz, Sheldon
3 Kimura, Yusuke
3 Koshevoy, Gleb A.
3 Laza, Radu
3 Lazaroiu, Calin Iuliu
3 Lee, Seungjoo
3 Li, Zhan
3 Longhi, Pietro
3 Macrì, Emanuele
3 Marcus, Steffen
3 Matessi, Diego
3 Mills, Matthew R.
3 Moore, Gregory Winthrop
3 Nicaise, Johannes
3 Peternell, Thomas Martin
3 Pomerleano, Daniel
3 Rietsch, Konstanze
3 Romo, Mauricio
3 Rupel, Dylan C.
3 Scherotzke, Sarah
3 Shen, Linhui
3 Shi, Yalong
3 Vafa, Cumrun
3 Vũ Ngọc, San
3 Weinkove, Ben
3 Wilson, Pelham Mark Hedley
3 Yau, Shing-Tung
3 Zaslow, Eric
2 Altmann, Klaus
2 Aspinwall, Paul S.
...and 615 more Authors
all top 5

Cited in 129 Serials

56 Advances in Mathematics
53 Journal of High Energy Physics
30 Communications in Mathematical Physics
21 Nuclear Physics. B
20 Transactions of the American Mathematical Society
19 Journal of Geometry and Physics
18 Compositio Mathematica
17 Mathematische Annalen
16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
15 Selecta Mathematica. New Series
14 Duke Mathematical Journal
14 Mathematische Zeitschrift
13 Manuscripta Mathematica
11 Proceedings of the American Mathematical Society
11 Journal of Algebraic Geometry
11 Geometry & Topology
9 Journal of the American Mathematical Society
7 Inventiones Mathematicae
7 Journal für die Reine und Angewandte Mathematik
7 International Journal of Mathematics
6 Journal of Algebra
6 Journal of Combinatorial Theory. Series A
6 The Journal of Geometric Analysis
6 Bulletin of the American Mathematical Society. New Series
5 Letters in Mathematical Physics
5 Journal of the European Mathematical Society (JEMS)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Annales de l’Institut Fourier
4 Geometriae Dedicata
4 Publications Mathématiques
4 Journal of the Mathematical Society of Japan
4 Documenta Mathematica
4 Séminaire Lotharingien de Combinatoire
4 Annales Henri Poincaré
4 Science China. Mathematics
3 Israel Journal of Mathematics
3 Journal of Mathematical Physics
3 Fortschritte der Physik
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Annals of Mathematics. Second Series
3 Forum of Mathematics, Sigma
3 Algebraic Combinatorics
2 International Journal of Modern Physics A
2 Physics Letters. B
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Commentarii Mathematici Helvetici
2 Journal of Pure and Applied Algebra
2 Mathematische Nachrichten
2 Pacific Journal of Mathematics
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Algebraic Combinatorics
2 Transformation Groups
2 Journal of the Institute of Mathematics of Jussieu
2 Journal of Physics A: Mathematical and Theoretical
2 Algebra & Number Theory
2 Advances in High Energy Physics
2 Journal of Singularities
2 Kyoto Journal of Mathematics
2 Research in the Mathematical Sciences
2 Bollettino dell’Unione Matematica Italiana
1 Communications in Algebra
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Notes
1 Physics Reports
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Acta Arithmetica
1 Acta Mathematica
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Kyungpook Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 Transactions of the Moscow Mathematical Society
1 Annals of Global Analysis and Geometry
1 Discrete & Computational Geometry
1 Differential Geometry and its Applications
1 Annals of Physics
1 L’Enseignement Mathématique. 2e Série
1 Historia Mathematica
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Mathematical Sciences (New York)
...and 29 more Serials
all top 5

Cited in 36 Fields

400 Algebraic geometry (14-XX)
190 Differential geometry (53-XX)
111 Quantum theory (81-XX)
100 Several complex variables and analytic spaces (32-XX)
89 Commutative algebra (13-XX)
49 Relativity and gravitational theory (83-XX)
36 Combinatorics (05-XX)
33 Associative rings and algebras (16-XX)
26 Category theory; homological algebra (18-XX)
21 Manifolds and cell complexes (57-XX)
20 Global analysis, analysis on manifolds (58-XX)
16 Nonassociative rings and algebras (17-XX)
15 Dynamical systems and ergodic theory (37-XX)
15 Convex and discrete geometry (52-XX)
14 Number theory (11-XX)
14 Group theory and generalizations (20-XX)
8 Functions of a complex variable (30-XX)
8 Partial differential equations (35-XX)
6 \(K\)-theory (19-XX)
4 History and biography (01-XX)
4 Mechanics of particles and systems (70-XX)
3 General and overarching topics; collections (00-XX)
3 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Geometry (51-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
1 Mathematical logic and foundations (03-XX)
1 Operator theory (47-XX)
1 Computer science (68-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year

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