Home Page A. Zeriahi

Ahmed Zeriahi
Professeur

Institut de Mathématiques de Toulouse (IMT)
Université de Toulouse, Paul Sabatier
118 route de Narbonne
31062 Toulouse Cedex 9

courriel : zeriahi@math.univ-toulouse.fr
Tel : (+33) (0)5.61.55.84.06
Bureau : 247 Bâtiment 1R2

RECHERCHE : Prépublications

V. Guedj, H. Guenancia, A. Zeriahi: Continuity of Kähler-Einstein potentials , Preprint arXiv:201202018v1
M. Charabati, A. Zeriahi: The continuous subsolution problem for complex Hessian equations , Preprint arXiv:2007.10194v2
A. Zeriahi: Remarks on the modulus of continuity of subharmonic functions , Preprint Septembre 2020

RECHERCHE : Publications (2000-xxxx)

V. Guedj, C.H. Lu , A. Zeriahi

Pluripotential solutions versus viscosity solutions to complex Monge-Ampère flows. Pure Appl. Math. Q. 17 (2021), no. 3, 971–990.

Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed

V. Guedj, C.H. Lu , A. Zeriahi: The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampère flows. , Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 4, 889–944.
V. Guedj, C.H. Lu , A. Zeriahi: The Pluripotential Kähler-Ricci flow , Geom. Topol. 24 (2020), no. 3, 1225-1296.
A. Benali, A. Zeriahi: The Hölder continuous subsolution theorem for complex Hessian equations , J. Éc. polytech. Math. 7 (2020), 981-1007.
S. Asserda, F.-Z. Assila, A. Zeriahi: Projective Logarithmic Potentials, Projective logarithmic potentials. Indiana Univ. Math. J. 69 (2020), no. 2, 487–516.
V. Guedj, C.H. Lu , A. Zeriahi: Plurisubharmonic envelopes and supersolutions , J. Differential Geom. 113 (2019), no. 2, 273–313.

D. Coman, V. Guedj, S. Sahin, A. Zeriahi

Toric Pluripotential Theory

Ann. Polon. Math. 123 (2019), no. 1, 215–242.

V. Guedj, C.H. Lu , A. Zeriahi: Weak subsolutions to complex Monge-Ampère equations. J. Math. Soc. Japan 71 (2019), no. 3, 727–738.
R. Berman, S. Boucksom, P. Eyssidieux, V. Guedj, A. Zeriahi: Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties. J. Reine Angew. Math. 751 (2019), 27–89.
V. Guedj, C.H. Lu , A. Zeriahi: Stability of solutions to complex Monge-Ampère flows. Ann. Inst. Fourier (Grenoble) 68 (2018), no. 7, 2819–2836.
P. Eyssidieux, V. Guedj, A. Zeriahi: Convergence of weak Kähler-Ricci flows on minimal model of positive Kodaira dimension, Comm. Math. Phys. 357 (2018), no. 3, 1179–1214.
V. Guedj, A. Zeriahi: Degenerate complex Monge-Ampère equations. EMS Tracts in Mathematics, 26. European Mathematical Society (EMS), Zürich, 2017.
V. Guedj, A. Zeriahi: Regularizing property of the Kähler-Ricci flow, J. Reine Angew. Math. 729 (2017), 275-304. .
V. Guedj, S. Sahin, A. Zeriahi: Choquet-Monge-Ampère Classes, Potential Anal. 46 (2017), no. 1, 149-165.
P. Eyssidieux, V. Guedj, A. Zeriahi: Corrigendum : Viscosity Solutions to Complex Monge-Ampère Equations, Comm. Pure Appl. Math., Vol. LXX, 0815-0821 (2017).
V. Guedj, S. Dinew, A. Zeriahi: Open Problems in Pluripotential Theory, Complex Var. Elliptic Equ. 61 (2016), no. 7, 902-930.
P. Eyssidieux, V. Guedj, A. Zeriahi: Weak solutions to Complex Monge-Ampère flows II, Adv. Math. 293 (2016),37–80
R. Berman, S. Boucksom, P. Eyssidieux, V. Guedj, A. Zeriahi: Kähler-Einstein metrics and the Kähler-Ricci flow on log-Fano manifolds, to appear in Crelle 2016.
A. Sadullaev, A. Zeriahi: Hölder regularity of generic manifolds, in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16 (2016), no. 2, 369–382.
P. Eyssidieux, V. Guedj, A. Zeriahi: Weak solutions to Complex Monge-Ampère flows I, Math. Ann. 362 (2015), no. 3-4, 931–963.
P. Eyssidieux, V. Guedj, A. Zeriahi: Continuous approximation of quasi-plurisubharmonic functions, Analysis, complex geometry, and mathematical physics: in honor of Duong H. Phong, 67–78, Contemp. Math., 644, Amer. Math. Soc., Providence, RI, 2015.
J.-P. Demailly, S. Dinew, V. Guedj, S. Kolodziej, H.H. Pham, A. Zeriahi: Hölder Continuous Solutions to Monge-Ampère Equations, J. Eur. Math. Soc. (JEMS) 16 (2014), no. 4, 619–647.
A. Zeriahi: A viscosity approach to degenerate complex Monge-Ampère equations, Ann. Fac. Sci. Toulouse Math. (6) 22 (2013), no. 4, 843–913.
D. Coman, V. Guedj, A. Zeriahi: Extension of quasi-plurisubharmonic functions, J. Reine Angew. Math. 676 (2013), 33–49
A. Sadullaev, A. Zeriahi: Subsets of full measure in a generic submanifold in C^n are non-plurithin, Math. Z. 274 (2013), no. 3-4, 1155–1163.
V. Guedj, A. Zeriahi: Stability of Solutions to Complex Monge-Ampère Equations in big Cohomology Classes, Math. Res. Lett. 19 (2012) no. 5, 1025–1042
R. Berman, S. Boucksom, V. Guedj, A. Zeriahi: A variational approach to complex Monge-Ampère Equations, Publ. Math. Inst. Hautes Études Sci. 117 (2013), 179–245.
P. Eyssidieux, V. Guedj, A. Zeriahi: Viscosity Solutions to Complex Monge-Ampère Equations, Comm. Pure Appl. Math. 64 (2011), no. 8, 1059–1094.
U. Cegrell, S. Kolodziej, A. Zeriahi: Maximal subextension of plurisubharmonic functions, Ann. Fac. Sci. Toulouse Math. (6) 20 (2011), Fascicule Spécial, 101–122.
S. Boucksom, P. Eyssidieux, V. Guedj, A. Zeriahi: Monge-Ampère equations in big cohomology classes, Acta Math. 205 (2010), no. 2, 199–262.
P. Eyssidieux, V. Guedj, A. Zeriahi: Singular Kähler-Einstein metrics, J. Amer. Math. Soc. 22 (2009), no. 3, 607–639.
P. Ahg, U. Cegrell, S. Kolodziej, H.H. Pham, A. Zeriahi: Partial Energy and Integrability Exponents, Adv. Math. 222 (2009), no. 6, 2036–2058.
V. Guedj, S. Kolodziej, A. Zeriahi: Hölder Continuous Solutions to Monge-Ampère Equations, Bull. Lond. Math. Soc. 40 (2008), no. 6, 1070–1080.
D. Coman, V. Guedj, A. Zeriahi: Domains of definition of Monge-Ampère operators on compact Kähler manifolds, Math. Z. 259 (2008), no. 2, 393–418.
P. Eyssidieux, V. Guedj, A. Zeriahi: A Priori L∞-Estimates for Degenerate Complex Monge–Ampère Equations, Int. Math. Res. Not. IMRN 2008, Art. ID rnn 070, 8 pp.
S. Benelkourchi, V. Guedj, A. Zeriahi: Plurisubharmonic functions with weak singularities, Acta Univ. Upsaliensis Skr. Uppsala Univ. C Organ. Hist., 86, Uppsala Universitet, Uppsala, 2009. .
S. Benelkourchi, V. Guedj, A. Zeriahi: A priori estimates for weak solutions of complex Monge-Ampère equations, , Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008), no. 1, 81–96. .
A. Zeriahi: A Minimum Principle for Plurisubharmonic Functions, Indiana Univ. Math. J. 56 (2007), no. 6, 2671–2696..
V. Guedj, A. Zeriahi: The weighted Monge-Ampère energy of quasi-plurisubharmonic functions, J. Funct. Anal. 250 (2007), no. 2, 442–482.
V. Guedj, A. Zeriahi: Intrinsic capacities on compact Kähler manifolds, J. Geom. Anal. 15 (2005), no. 4, 607–639.
U. Cegrell, S. Kolodziej, A. Zeriahi: Subextension of plurisubharmonic functions with weak singularities, Math. Z. 250 (2005), no. 1, 7–22.
S. Benelkourchi, B. Jennane, A. Zeriahi: Polya's inequalities, global uniform integrability and the size of plurisubharmonic lemniscates, Ark. Mat. 43 (2005), no. 1, 85–112.
A. Zeriahi: The size of plurisubharmonic lemniscates in terms of Hausdorff-Riesz measures and capacities, Proc. London Math. Soc. (3) 89 (2004), no. 1, 104–122..
U. Cegrell, A. Zeriahi: Subextension of plurisubharmonic functions with bounded Monge-Ampère mass, C. R. Math. Acad. Sci. Paris 336 (2003), no. 4, 305–308.
O. Alehyane, A. Zeriahi: Comportement Asymptotique des Systèmes Doublement Orthogonaux de Bergman: Une Approche Elémentaire, Vietnam.Journal of Mathematics 3O:2 (2002) 177-188.
A. Zeriahi: Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions., Indiana Univ. Math. J. 50 (2001), no. 1, 671–703.
O. Alehyane, A. Zeriahi: Une nouvelle version du théorème d'extension de Hartogs pour les applications séparément holomorphes entre espaces analytiques, Ann. Polon. Math. 76 (2001), no. 3, 245–278.
A. Zeriahi: A criterion of algebraicity for Lelong classes and analytic sets, Acta Math. 184 (2000), no. 1, 113–143.

Ahmed Zeriahi

Professeur

RECHERCHE : Prépublications

RECHERCHE : Publications (2000-xxxx)

ENSEIGNEMENT