I am a mathematician at the Institut de Mathématiques de Toulouse (Université Paul Sabatier). Imagine Keats addressing maths rather than a Grecian urn. (So "thou=maths" below.)
Postal address: Université Paul Sabatier, Institut de Mathématiques de Toulouse, 118 Route de Narbonne, 31062, Toulouse, France
Email: popovici AT math DOT univ-toulouse DOT fr
Articles
Twisted Adiabatic Limit for Complex Structures, to appear in the Journal of Geometric Analysis Text
(with E. Soheil) Functionals for the Study of LCK Metrics on Compact Complex Manifolds, Bull. des Sci. Math., 188 (2023) 103319 Text
Pluriclosed Star Split Hermitian Metrics, Math. Z. 305 (2023), No. 1, Paper No. 7, 40 pp. Text
(with S. Dinew) A Variational Approach to SKT and Balanced Metrics J. Math. Pures Appl. (9) 175 (2023), 237-268 Text
(with J. Stelzig and L. Ugarte) Higher-Page Hodge Theory of Compact Complex Manifolds, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXV (2024), 1431-1464 Text
(with S. Marouani) Balanced Hyperbolic and Divisorially Hyperbolic Compact Complex Manifolds Math. Res. Lett., Vol. 30, No. 6, 1813-1855 (2023), DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n6.a7 Text
(with S. Marouani) Some Properties of Balanced Hyperbolic Compact Complex Manifolds Internat. J. Math., Vol. 33, No. 3 (2022) 2250019, DOI: 10.1142/S0129167X22500197 Text
(with S. Dinew) A Generalised Volume Invariant for Aeppli Cohomology Classes of Hermitian-Symplectic Metrics Adv. Math. 393 (2021), Paper No. 108056, 46 pp Text
(with J. Stelzig and L. Ugarte) Deformations of Higher-Page Analogues of \partial\bar\partial-Manifolds Math. Z. 300 (2022), no. 3, 2611–2635. Text
(with J. Stelzig and L. Ugarte) Higher-Page Bott-Chern and Aeppli Cohomologies and Applications, J. reine angew. Math. (Crelle) 777 (2021), 157-194 Text
Limits of Projective and \partial\bar\partial-Manifolds under Holomorphic Deformations, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. Text
Non-Kähler Mirror Symmetry of the Iwasawa Manifold, Int. Math. Res. Not. IMRN 2020, no. 23, 9471–9538. Text
Adiabatic Limit and the Frölicher Spectral Sequence, Pacific J. Math. 300 (2019), no. 1, 121-158. Text
(with H. Bellitir) Positivity Cones under Deformations of Complex Structures, Riv. Mat. Univ. Parma, Vol. 9 (2018), 133-176. Text
Holomorphic Deformations of Balanced Calabi-Yau \partial\bar\partial-Manifolds, Ann. Inst. Fourier, 69 (2019) no. 2, pp. 673-728. doi : 10.5802/aif.3254. Text
The Albanese Map of sGG Manifolds and Self-Duality of the Iwasawa Manifold, Riv. Mat. Univ. Parma, Vol. 9 (2018), 177-190. Text
(with L. Ugarte) Compact Complex Manifolds with Small Gauduchon Cone, Proc. London Math. Soc. (3) 116 (2018), no. 5, 1161-1186. Text
Degeneration at E2 of Certain Spectral Sequences, Internat. J. Math. 27, no. 14, 1650111 (2016). Text
Volume and Self-Intersection of Differences of Two Nef Classes, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XVII (2017), 1-45. Text
Sufficient Bigness Criterion for Differences of Two Nef Classes, Math. Ann. 364 (2016), 649-655. Text
Aeppli Cohomology Classes Associated with Gauduchon Metrics on Compact Complex Manifolds, Bull. Soc. Math. France 143 (4), (2015), 763-800. Text
Deformation Limits of Projective Manifolds: Hodge Numbers and Strongly Gauduchon Metrics, Invent. Math. 194 (2013), 515-534. Text
Deformation Openness and Closedness of Various Classes of Compact Complex Manifolds; Examples, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XIII (2014), 255-305. Text
Stability of Strongly Gauduchon Manifolds under Modifications, J. Geom. Anal. 23 (2013), 653-659. Text
Effective Local Finite Generation of Multiplier Ideal Sheaves, Ann. Inst. Fourier 60 (2010), no. 5, 1561-1594. Text
Morse Inequalities and Deformations of Compact Complex Manifolds, Oberwolfach Reports, No. 21 (2009), 12-15.
Regularisation of Currents with Mass Control and Singular Morse Inequalities, J. Diff. Geom 80 (2008), 281-326. Text
L2 Extension for Jets of Holomorphic Sections of a Hermitian Line Bundle, Nagoya Math. Journal, 180 (2005), 1-34. Text
A Simple Proof of a Theorem by Uhlenbeck and Yau, Math. Z., 250 (4) (2005), 855-872. Text
Estimation effective de la perte de positivité dans la régularisation des courants, C. R. Acad. Sci. Paris, Ser. I 338 (2004) 59-64.
Cohérence des faisceaux d'idéaux multiplicateurs avec estimations, C. R. Acad. Sci. Paris, Ser. I 338 (2004) 151-156.
Bergman Kernels and Multiplier Ideal Sheaves, Proceedings of the RIMS Symposium on the Analytic Geometry of the Bergman Kernel and Related Topics, Kyoto, Japan, 12-16 December 2005.
Monge-Ampère Currents and Masses, Proceedings of the Hayama Symposium on Several Complex Variables, Hayama, Japan, December 2004.
Preprints
Limits of Moishezon Manifolds Under Holomorphic DeformationsText
Adiabatic Limit and Deformations of Complex StructuresText
(with H. Kasuya) Partially Hyperbolic Compact Complex ManifoldsText
A Non-Integrable Ohsawa-Takegoshi-Type L^2 Extension TheoremText
(with L. Ugarte) A Moment Map for the Space of Maps to a Balanced ManifoldText
A Twisted Adiabatic Limit Approach to Vanishing Theorems for Complex Line BundlesText
Book
Non-Kähler Hodge Theory and Deformations of Complex StructuresText
