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Tosatti, Valentino

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Author ID: tosatti.valentino Recent zbMATH articles by "Tosatti, Valentino"
Published as: Tosatti, Valentino; Tosatti, V.
External Links: MGP · Wikidata
Documents Indexed: 59 Publications since 2001, including 1 Book
Reviewing Activity: 102 Reviews
all top 5

Serials

3 Journal of Differential Geometry
3 Mathematical Research Letters
3 Pure and Applied Mathematics Quarterly
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Communications in Analysis and Geometry
2 Journal of the European Mathematical Society (JEMS)
1 Communications in Mathematical Physics
1 Physica A
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Proceedings of the London Mathematical Society. Third Series
1 Tohoku Mathematical Journal. Second Series
1 IMRN. International Mathematics Research Notices
1 Communications in Partial Differential Equations
1 Notices of the American Mathematical Society
1 Calculus of Variations and Partial Differential Equations
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 The Asian Journal of Mathematics
1 Geometry & Topology
1 Advances in Theoretical and Mathematical Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Analysis & PDE
1 Cambridge Journal of Mathematics
1 Annals of PDE
1 Bollettino dell’Unione Matematica Italiana
1 Épijournal de Géométrie Algébrique. EPIGA

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 694 times in 306 Documents Cited by Year
The complex Monge-Ampère equation on compact Hermitian manifolds. Zbl 1208.53075
Tosatti, Valentino; Weinkove, Ben
53
2010
On the evolution of a Hermitian metric by its Chern-Ricci form. Zbl 1317.53092
Tosatti, Valentino; Weinkove, Ben
46
2015
Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds. Zbl 1208.32034
Tosatti, Valentino; Weinkove, Ben
39
2010
Gauduchon metrics with prescribed volume form. Zbl 1396.32010
Székelyhidi, Gábor; Tosatti, Valentino; Weinkove, Ben
32
2017
Adiabatic limits of Ricci-flat Kähler metrics. Zbl 1208.32024
Tosatti, Valentino
30
2010
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
29
2013
Taming symplectic forms and the Calabi-Yau equation. Zbl 1153.53054
Tosatti, Valentino; Weinkove, Ben; Yau, Shing-Tung
28
2008
The Chern-Ricci flow on complex surfaces. Zbl 1286.53074
Tosatti, Valentino; Weinkove, Ben
28
2013
The Monge-Ampère equation for \((n-1)\)-plurisubharmonic functions on a compact Kähler manifold. Zbl 1366.32015
Tosatti, Valentino; Weinkove, Ben
25
2017
\(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry. Zbl 1320.32047
Tosatti, Valentino; Wang, Yu; Weinkove, Ben; Yang, Xiaokui
23
2015
A general Schwarz lemma for almost-Hermitian manifolds. Zbl 1145.53019
Tosatti, Valentino
22
2007
Collapsing of the Chern-Ricci flow on elliptic surfaces. Zbl 1321.53084
Tosatti, Valentino; Weinkove, Ben; Yang, Xiaokui
22
2015
Limits of Calabi-Yau metrics when the Kähler class degenerates. Zbl 1177.32015
Tosatti, Valentino
20
2009
Kähler currents and null loci. Zbl 1341.32016
Collins, Tristan C.; Tosatti, Valentino
20
2015
Non-Kähler Calabi-Yau manifolds. Zbl 1341.53108
Tosatti, Valentino
19
2015
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
18
2011
The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits. Zbl 1401.53055
Tosatti, Valentino; Weinkove, Ben; Yang, Xiaokui
18
2018
An extension of a theorem of Wu-Yau. Zbl 1421.53075
Tosatti, Valentino; Yang, Xiaokui
17
2017
Kähler-Ricci flow on stable Fano manifolds. Zbl 1189.53069
Tosatti, Valentino
15
2010
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
15
2016
Infinite-time singularities of the Kähler-Ricci flow. Zbl 1328.53089
Tosatti, Valentino; Zhang, Yuguang
15
2015
Remarks on the collapsing of torus fibered Calabi-Yau manifolds. Zbl 1345.32018
Hein, Hans-Joachim; Tosatti, Valentino
14
2015
Inoue surfaces and the Chern-Ricci flow. Zbl 1350.53082
Fang, Shouwen; Tosatti, Valentino; Weinkove, Ben; Zheng, Tao
13
2016
The Monge-Ampère equation for non-integrable almost complex structures. Zbl 1452.32035
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
12
2019
Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Zbl 0978.60032
Pietronero, L.; Tosatti, E.; Tosatti, V.; Vespignani, A.
12
2001
KAWA lecture notes on the Kähler-Ricci flow. Zbl 1395.53074
Tosatti, Valentino
12
2018
The Calabi-Yau equation on the Kodaira-Thurston manifold. Zbl 1219.53072
Tosatti, Valentino; Weinkove, Ben
10
2011
The Calabi flow with small inital energy. Zbl 1136.53052
Tosatti, Valentino; Weinkove, Ben
10
2007
Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations. Zbl 1435.32052
Tosatti, Valentino; Weinkove, Ben
10
2019
On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
8
2017
\(C^{1,1}\) regularity for degenerate complex Monge-Ampère equations and geodesic rays. Zbl 1404.32075
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
6
2018
Finite time collapsing of the Kähler-Ricci flow on threefolds. Zbl 1391.53080
Tosatti, Valentino; Zhang, Yuguang
6
2018
The Calabi-Yau equation, symplectic forms and almost complex structures. Zbl 1268.53079
Tosatti, Valentino; Weinkove, Ben
5
2011
Regularity of envelopes in Kähler classes. Zbl 1397.32005
Tosatti, Valentino
5
2018
Families of Calabi-Yau manifolds and canonical singularities. Zbl 1338.32022
Tosatti, Valentino
5
2015
Plurisubharmonic functions and nef classes on complex manifolds. Zbl 1273.53063
Tosatti, Valentino; Weinkove, Ben
5
2012
Collapsing Hyperkähler manifolds. Zbl 1462.32031
Tosatti, Valentino; Zhang, Yuguang
5
2020
Smooth and rough positive currents. (Courants positifs lisses et peu réguliers.) Zbl 1428.14065
Filip, Simion; Tosatti, Valentino
3
2018
The K-energy on small deformations of constant scalar curvature Kähler manifolds. Zbl 1317.32050
Tosatti, Valentino
3
2012
Uniqueness of \(\mathbb{CP}^n\). Zbl 1376.32030
Tosatti, Valentino
3
2017
The Calabi-Yau theorem and Kähler currents. Zbl 1349.14136
Tosatti, Valentino
3
2016
Kähler-Einstein metrics on Fano surfaces. Zbl 1241.32021
Tosatti, Valentino
3
2012
On the critical points of the \(E_k\) functionals in Kähler geometry. Zbl 1131.58009
Tosatti, Valentino
2
2007
An extension theorem for Kähler currents with analytic singularities. Zbl 1333.32023
Collins, Tristan C.; Tosatti, Valentino
2
2014
Triviality of fibered Calabi-Yau manifolds without singular fibers. Zbl 1310.32030
Tosatti, Valentino; Zhang, Yuguang
2
2014
A singular Demailly-Păun theorem. (Un théorème de Demailly-Păun singulier.) Zbl 1344.32005
Collins, Tristan C.; Tosatti, Valentino
1
2016
Collapsing Hyperkähler manifolds. Zbl 1462.32031
Tosatti, Valentino; Zhang, Yuguang
5
2020
The Monge-Ampère equation for non-integrable almost complex structures. Zbl 1452.32035
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
12
2019
Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations. Zbl 1435.32052
Tosatti, Valentino; Weinkove, Ben
10
2019
The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits. Zbl 1401.53055
Tosatti, Valentino; Weinkove, Ben; Yang, Xiaokui
18
2018
KAWA lecture notes on the Kähler-Ricci flow. Zbl 1395.53074
Tosatti, Valentino
12
2018
\(C^{1,1}\) regularity for degenerate complex Monge-Ampère equations and geodesic rays. Zbl 1404.32075
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
6
2018
Finite time collapsing of the Kähler-Ricci flow on threefolds. Zbl 1391.53080
Tosatti, Valentino; Zhang, Yuguang
6
2018
Regularity of envelopes in Kähler classes. Zbl 1397.32005
Tosatti, Valentino
5
2018
Smooth and rough positive currents. (Courants positifs lisses et peu réguliers.) Zbl 1428.14065
Filip, Simion; Tosatti, Valentino
3
2018
Gauduchon metrics with prescribed volume form. Zbl 1396.32010
Székelyhidi, Gábor; Tosatti, Valentino; Weinkove, Ben
32
2017
The Monge-Ampère equation for \((n-1)\)-plurisubharmonic functions on a compact Kähler manifold. Zbl 1366.32015
Tosatti, Valentino; Weinkove, Ben
25
2017
An extension of a theorem of Wu-Yau. Zbl 1421.53075
Tosatti, Valentino; Yang, Xiaokui
17
2017
On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
8
2017
Uniqueness of \(\mathbb{CP}^n\). Zbl 1376.32030
Tosatti, Valentino
3
2017
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
15
2016
Inoue surfaces and the Chern-Ricci flow. Zbl 1350.53082
Fang, Shouwen; Tosatti, Valentino; Weinkove, Ben; Zheng, Tao
13
2016
The Calabi-Yau theorem and Kähler currents. Zbl 1349.14136
Tosatti, Valentino
3
2016
A singular Demailly-Păun theorem. (Un théorème de Demailly-Păun singulier.) Zbl 1344.32005
Collins, Tristan C.; Tosatti, Valentino
1
2016
On the evolution of a Hermitian metric by its Chern-Ricci form. Zbl 1317.53092
Tosatti, Valentino; Weinkove, Ben
46
2015
\(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry. Zbl 1320.32047
Tosatti, Valentino; Wang, Yu; Weinkove, Ben; Yang, Xiaokui
23
2015
Collapsing of the Chern-Ricci flow on elliptic surfaces. Zbl 1321.53084
Tosatti, Valentino; Weinkove, Ben; Yang, Xiaokui
22
2015
Kähler currents and null loci. Zbl 1341.32016
Collins, Tristan C.; Tosatti, Valentino
20
2015
Non-Kähler Calabi-Yau manifolds. Zbl 1341.53108
Tosatti, Valentino
19
2015
Infinite-time singularities of the Kähler-Ricci flow. Zbl 1328.53089
Tosatti, Valentino; Zhang, Yuguang
15
2015
Remarks on the collapsing of torus fibered Calabi-Yau manifolds. Zbl 1345.32018
Hein, Hans-Joachim; Tosatti, Valentino
14
2015
Families of Calabi-Yau manifolds and canonical singularities. Zbl 1338.32022
Tosatti, Valentino
5
2015
An extension theorem for Kähler currents with analytic singularities. Zbl 1333.32023
Collins, Tristan C.; Tosatti, Valentino
2
2014
Triviality of fibered Calabi-Yau manifolds without singular fibers. Zbl 1310.32030
Tosatti, Valentino; Zhang, Yuguang
2
2014
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
29
2013
The Chern-Ricci flow on complex surfaces. Zbl 1286.53074
Tosatti, Valentino; Weinkove, Ben
28
2013
Plurisubharmonic functions and nef classes on complex manifolds. Zbl 1273.53063
Tosatti, Valentino; Weinkove, Ben
5
2012
The K-energy on small deformations of constant scalar curvature Kähler manifolds. Zbl 1317.32050
Tosatti, Valentino
3
2012
Kähler-Einstein metrics on Fano surfaces. Zbl 1241.32021
Tosatti, Valentino
3
2012
Regularity of weak solutions of a complex Monge-Ampère equation. Zbl 1264.32019
Székelyhidi, Gábor; Tosatti, Valentino
18
2011
The Calabi-Yau equation on the Kodaira-Thurston manifold. Zbl 1219.53072
Tosatti, Valentino; Weinkove, Ben
10
2011
The Calabi-Yau equation, symplectic forms and almost complex structures. Zbl 1268.53079
Tosatti, Valentino; Weinkove, Ben
5
2011
The complex Monge-Ampère equation on compact Hermitian manifolds. Zbl 1208.53075
Tosatti, Valentino; Weinkove, Ben
53
2010
Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds. Zbl 1208.32034
Tosatti, Valentino; Weinkove, Ben
39
2010
Adiabatic limits of Ricci-flat Kähler metrics. Zbl 1208.32024
Tosatti, Valentino
30
2010
Kähler-Ricci flow on stable Fano manifolds. Zbl 1189.53069
Tosatti, Valentino
15
2010
Limits of Calabi-Yau metrics when the Kähler class degenerates. Zbl 1177.32015
Tosatti, Valentino
20
2009
Taming symplectic forms and the Calabi-Yau equation. Zbl 1153.53054
Tosatti, Valentino; Weinkove, Ben; Yau, Shing-Tung
28
2008
A general Schwarz lemma for almost-Hermitian manifolds. Zbl 1145.53019
Tosatti, Valentino
22
2007
The Calabi flow with small inital energy. Zbl 1136.53052
Tosatti, Valentino; Weinkove, Ben
10
2007
On the critical points of the \(E_k\) functionals in Kähler geometry. Zbl 1131.58009
Tosatti, Valentino
2
2007
Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Zbl 0978.60032
Pietronero, L.; Tosatti, E.; Tosatti, V.; Vespignani, A.
12
2001
all top 5

Cited by 247 Authors

22 Tosatti, Valentino
15 Weinkove, Ben
13 Yang, Xiao-Kui
10 Chu, Jianchun
9 Chen, Xiuxiong
9 Collins, Tristan Clifford
9 Vezzoni, Luigi
8 Zhang, Xiangwen
7 Phong, Duong Hong
7 Picard, Sebastien
7 Zhang, Yashan
7 Zhang, Yuguang
6 Angella, Daniele
6 Guedj, Vincent
6 Song, Jian
6 Zeriahi, Ahmed
6 Zheng, Tao
5 Huang, Hongnian
5 Kołodziej, Sławomir
5 Liu, Kefeng
5 Nguyen, Ngoc Cuong
5 Zhang, Xi
5 Zheng, Fangyang
4 Berman, Robert J.
4 Di Nezza, Eleonora
4 Dinew, Sławomir
4 Fu, Jixiang
4 Guan, Bo
4 Li, Chang
4 Sun, Song
4 Tomassini, Adriano
4 Xiao, Jian
4 Yau, Shing-Tung
3 Guenancia, Henri
3 Heier, Gordon
3 Hein, Hans-Joachim
3 Jacob, Adam
3 Jian, Wangjian
3 Kawamura, Masaya
3 Lee, Man-Chun
3 Liu, Jiawei
3 Lu, Chinh Hoang
3 Qiu, Chunhui
3 Shi, Yalong
3 Streets, Jeffrey D.
3 Székelyhidi, Gábor
3 Tam, Luen-Fai
3 Tian, Gang
3 Wang, Zhiwei
3 Wu, Damin
3 Yu, Chengjie
2 Biswas, Indranil
2 Boucksom, Sébastien
2 Cattaneo, Andrea
2 Chen, Haojie
2 Choi, Young-Jun
2 Darvas, Tamás
2 Dong, Weisong
2 Dumitrescu, Sorin
2 Edwards, Gregory
2 Eyssidieux, Philippe
2 Filip, Simion
2 Fong, Frederick Tsz-Ho
2 Fu, Xin
2 Gill, Matthew
2 Gross, Mark
2 Guo, Bin
2 He, Weiyong
2 Huang, Liding
2 Lauret, Jorge
2 Li, Jiayu
2 Li, Qun
2 McCleerey, Nicholas
2 Nie, Xiaolan
2 Odaka, Yuji
2 Peternell, Thomas Martin
2 Popovici, Dan
2 Rong, Xiaochun
2 Spotti, Cristiano
2 Tardini, Nicoletta
2 Tô, Tat Dat
2 Ustinovskiy, Yury M.
2 Wan, Xueyuan
2 Wang, Bing
2 Wang, Hongyu
2 Wong, Bun
2 Xia, Wei
2 Yuan, Rirong
2 Yuan, Yuan
2 Zhu, Peng
1 Abja, Soufian
1 Alves, E. Ivo
1 Anthes, Ben
1 Apostolov, Vestislav
1 Barabesi, Lucio
1 Bedulli, Lucio
1 Bei, Francesco
1 Benali, Amel
1 Biau, Damien
1 Błocki, Zbigniew
...and 147 more Authors
all top 5

Cited in 83 Serials

26 The Journal of Geometric Analysis
19 Advances in Mathematics
16 Mathematische Annalen
16 Calculus of Variations and Partial Differential Equations
12 Mathematische Zeitschrift
12 Transactions of the American Mathematical Society
10 Proceedings of the American Mathematical Society
9 Journal of Functional Analysis
9 Science China. Mathematics
8 Journal für die Reine und Angewandte Mathematik
7 Annales de l’Institut Fourier
7 International Journal of Mathematics
6 Inventiones Mathematicae
6 Journal of Differential Geometry
6 Annals of Global Analysis and Geometry
6 Journal of the American Mathematical Society
6 Differential Geometry and its Applications
6 Complex Manifolds
5 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Communications in Mathematical Physics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Journal of Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Geometry & Topology
3 Acta Mathematica Sinica. English Series
3 Communications in Contemporary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Complex Variables and Elliptic Equations
3 Annals of PDE
2 Physica A
2 Journal of Geometry and Physics
2 Acta Mathematica Vietnamica
2 Publications Mathématiques
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Statistics & Probability Letters
2 Chinese Annals of Mathematics. Series B
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Proceedings of the National Academy of Sciences of the United States of America
2 Journal of the Institute of Mathematics of Jussieu
2 Journal de l’École Polytechnique – Mathématiques
2 Bollettino dell’Unione Matematica Italiana
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Annales Polonici Mathematici
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Statistical Science
1 IMRN. International Mathematics Research Notices
1 Expositiones Mathematicae
1 Selecta Mathematica. New Series
1 Documenta Mathematica
1 Nonlinear Dynamics
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 International Journal of Modern Physics C
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications on Pure and Applied Analysis
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Complex Analysis and Operator Theory
1 Journal of Modern Dynamics
1 Mathematical Geosciences
1 Sankhyā. Series A
1 Communications in Mathematics and Statistics
1 Annales Mathématiques du Québec
1 Peking Mathematical Journal

Citations by Year

Wikidata Timeline

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