Publications

Scientific Papers

• 1. Holomorphic and harmonic maps of locally conformal Kaehler manifolds.(with S. Ianus and L.Ornea), Boll. Unione Mat. Ital., VII. Ser., A 9, No.3, 569-579 (1995).
• 2. On the Picard group of some normal surfaces. Rev. Roum. Math. Pures Appl. 40, No.1, 35-38 (1995).
• 3. Sur l'existence de fibres vectoriels stables sur les surfaces non-kaehleriennes. (Existence of stable vector bundles on non-Kaehler surfaces). C.R. Acad. Sci., Paris, Ser. I 321, No.5, 591-593 (1995).
• 4. An elementary proof of Banica-LePotier's inequality Δ ≥ 0. An. Univ. Bucur., Mat. 46, 97-100 (1997).
• 5. Relating vector bundles on a nonalgebraic surface with those on its blow-up. Ann. St. Univ. Ovidius Constanta, 5 (1997), no.2.
• 6. On the Neron-Severi group of some non-Kaehler principal elliptic bundles. Rev. Roum. Math. Pures Appl. 43, No.1-2, 245-251 (1998).
• 7. Vector bundles with trivial determinant and second Chern class one over some nonKahler surfaces. To Mirela Stefanescu at her 60's. An. St. Univ. Ovidius Constanta Ser. Mat. 9(2001), 133-138
• 8. A remark on MCM-modules of rank one over a smooth plane cubic. Cojocaru, Svetlana (ed.) et al., Computational commutative and non-commutative algebraic geometry. Proceedings of the NATO Advanced Research Workshop, Chisinau, Republic of Moldova, June 6--11, (2004).
• 9. Blowing-up points on l. c. K. manifolds. Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 52(100), No. 3, 387-390 (2009).
• 10. Elliptic Gauss sums and applications to point counting. (with P.Mihăilescu), J. Symb. Comp., 45(8), 825-836, (2010)
• 11. Examples of non-trivial rank in locally conformal geometry. (with M. Parton), Math. Z. 270, No. 1-2, 179-187 (2012)
• 12. Exemples de faisceaux coherents sans resolution localement libre en dimension 3. C. R. Acad. Sci. Paris, Ser. I 350 (2012) 411--412
• 13. Blow-ups of locally conformally K\"ahler manifolds. (with L.Ornea and M. Verbitsky), Int. Math. Research Notes. (2013), 12 (2013), 2809-2821.
• 14. Holomorphic submersions of locally conformally Kahler manifolds, (with L. Ornea and M. Parton) Annali di Matematica Pura ed Applicata, 193(5), 1345--1351, (2014).
• 15. Spin(9) geometry of the octonionic Hopf fibration (with L.Ornea, M.Parton and P. Piccinni) Transformation Groups, 18, No. 3, 845-864 (2013).
• 16. A restriction theorem for torsion-free sheaves on some elliptic manifolds, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér 56(104), No. 2, 237-242, (2013).
• 17. Oeljeklaus-Toma manifolds and locally conformally Kahler metrics. A state of the art (with L.Ornea). Stud.Univ. Babes-Bolyai Math. 58(2013), No. 4, 459--468
• 18. LCK metrics on Oeljeklaus-Toma manifolds versus Kronecker's theorem, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 57(105), No. 2, 225-231, (2014).
• 19. Irreducible vector bundles on some elliptic non-Kahler threefolds (with V. Brînzănescu), J. Geom. Phys. 91, 141--145, (2015).
• 20. Clifford systems in octonionic geometry, Rend. Sem. Mat. Torino, 74, 267-288 (2016). Volume in memory of Sergio Console (with Maurizio Parton and Paolo Piccinni).
• 21. Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential, J. Math. Soc. Japan , 70 (1), 409-422, (2018) (with Liviu Ornea and Misha Verbitsky).
• 22. Flat affine subvarieties in Oeljeklaus-Toma manifolds (with Liviu Ornea and Misha Verbitsky), Math. Z. 292, No. 3-4, 839-847 (2019).
• 23. Rigidity of Oeljeklaus-Toma Manifolds (with D. Angella and M. Parton), Ann. Inst. Fourier 70, 2409-2423 (2020).
• 24. Classification of Non-Kahler surfaces and locally conformally Kahler geometry (with L.Ornea and M.Verbitsky), Uspekhi Mat. Nauk., 76, No 2(458), 71-102, (2021).
• 25. On locally conformally Kahler threefolds with algebraic dimension two (with D. Angella and M. Parton), Int. Math. Res.Notices (IMRN), 5 (2023), 3948 - 3969, (2023).
• 26. On locally conformally Kahler metrics on Oeljelklaus-Toma manifolds (with Ş. Deaconu), manuscripta mathematica, 171, 643-647 (2023).
• 27. Do products of compact complex manifolds admit LCK metrics? (with L. Ornea and M.Verbitsky), to appear in Bull. London Math. Soc.

Work in progress and preprints

Introducere in studiul fibratilor vectoriali olomorfi, Book in preparation