Debarre, Olivier; Huybrechts, Daniel; Macrì, Emanuele; Voisin, Claire Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds. (English) Zbl 07752242 J. Am. Math. Soc. 37, No. 1, 151-185 (2024). Reviewer: Ljudmila Kamenova (New York) MSC: 14J42 53C26 14E30 14J35 PDFBibTeX XMLCite \textit{O. Debarre} et al., J. Am. Math. Soc. 37, No. 1, 151--185 (2024; Zbl 07752242) Full Text: DOI arXiv
Varesco, M.; Voisin, C. Hyper-Kähler manifolds of generalized Kummer type and the Kuga-Satake correspondence. (English) Zbl 1515.14016 Milan J. Math. 90, No. 2, 433-444 (2022). Reviewer: Annalisa Grossi (Chemnitz) MSC: 14C25 14C30 53C26 PDFBibTeX XMLCite \textit{M. Varesco} and \textit{C. Voisin}, Milan J. Math. 90, No. 2, 433--444 (2022; Zbl 1515.14016) Full Text: DOI
Oberdieck, Georg; Song, Jieao; Voisin, Claire Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds. (English) Zbl 1508.14051 Pure Appl. Math. Q. 18, No. 4, 1723-1748 (2022). Reviewer: Andreas Höring (Nice) MSC: 14J99 14C17 PDFBibTeX XMLCite \textit{G. Oberdieck} et al., Pure Appl. Math. Q. 18, No. 4, 1723--1748 (2022; Zbl 1508.14051) Full Text: DOI arXiv
Voisin, Claire Compact Kähler manifolds with no projective specialization. (English) Zbl 1503.32011 Boll. Unione Mat. Ital. 15, No. 1-2, 353-364 (2022). Reviewer: Tsz On Mario Chan (Taipei) MSC: 32J27 32G05 PDFBibTeX XMLCite \textit{C. Voisin}, Boll. Unione Mat. Ital. 15, No. 1--2, 353--364 (2022; Zbl 1503.32011) Full Text: DOI arXiv
Debarre, Olivier; Han, Frédéric; O’Grady, Kieran; Voisin, Claire Hilbert squares of \(K3\) surfaces and Debarre-Voisin varieties. (Schémas de Hilbert ponctuels de surfaces \(K3\) et variétés de Debarre-Voisin.) (English. French summary) Zbl 1442.14125 J. Éc. Polytech., Math. 7, 653-710 (2020). Reviewer: Giosuè Muratore (Roma) MSC: 14J32 14J35 14M15 14J70 14J28 PDFBibTeX XMLCite \textit{O. Debarre} et al., J. Éc. Polytech., Math. 7, 653--710 (2020; Zbl 1442.14125) Full Text: DOI arXiv
Kollár, János; Laza, Radu; Saccà, Giulia; Voisin, Claire Remarks on degenerations of hyper-Kähler manifolds. (Remarques sur les dégénérescences des variétés hyper-kählériennes.) (English. French summary) Zbl 1435.14038 Ann. Inst. Fourier 68, No. 7, 2837-2882 (2018). MSC: 14J42 14B05 14D05 14J32 14C34 14E30 PDFBibTeX XMLCite \textit{J. Kollár} et al., Ann. Inst. Fourier 68, No. 7, 2837--2882 (2018; Zbl 1435.14038) Full Text: arXiv
Voisin, Claire Hyper-Kähler compactification of the intermediate Jacobian fibration of a cubic fourfold: the twisted case. (English) Zbl 1398.14050 Budur, Nero (ed.) et al., Local and global methods in algebraic geometry. Conference in honor of Lawrence Ein’s 60th birthday, University of Illinois at Chicago, IL, USA, May 12–15, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3488-5/pbk; 978-1-4704-4850-9/ebook). Contemporary Mathematics 712, 341-355 (2018). MSC: 14J99 14D06 14K99 PDFBibTeX XMLCite \textit{C. Voisin}, Contemp. Math. 712, 341--355 (2018; Zbl 1398.14050) Full Text: DOI arXiv
Voisin, Claire Remarks and questions on coisotropic subvarieties and 0-cycles of hyper-Kähler varieties. (English) Zbl 1352.32010 Faber, Carel (ed.) et al., K3 surfaces and their moduli. Basel: Birkhäuser/Springer (ISBN 978-3-319-29958-7/hbk; 978-3-319-29959-4/ebook). Progress in Mathematics 315, 365-399 (2016). MSC: 32Q99 PDFBibTeX XMLCite \textit{C. Voisin}, Prog. Math. 315, 365--399 (2016; Zbl 1352.32010) Full Text: DOI arXiv
Voisin, Claire On the cohomology of algebraic varieties. (English) Zbl 1231.14013 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 476-503 (2011). Reviewer: James Lewis (Edmonton) MSC: 14F25 PDFBibTeX XMLCite \textit{C. Voisin}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 476--503 (2011; Zbl 1231.14013) Full Text: Link
Voisin, Claire Algebraic geometry versus Kähler geometry. (English) Zbl 1217.14009 Milan J. Math. 78, 85-116 (2010). Reviewer: Benoît Claudon (Vandœuvre-lés-Nancy) MSC: 14C30 14D07 14F40 32Q15 32Q55 PDFBibTeX XMLCite \textit{C. Voisin}, Milan J. Math. 78, No. 1, 85--116 (2010; Zbl 1217.14009) Full Text: DOI
Voisin, Claire Cohomology algebras in symplectic, Kähler and algebraic geometry. (English) Zbl 1230.14009 Ji, Lizhen (ed.) et al., Fourth international congress of Chinese mathematicians. Proceedings of the ICCM ’07, Hangzhou, China, December 17–22, 2007. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-5021-3/pbk). AMS/IP Studies in Advanced Mathematics 48, 31-46 (2010). Reviewer: Bernd Kreußler (Limerick) MSC: 14C30 14F25 14F40 32J27 32Q15 53D05 PDFBibTeX XMLCite \textit{C. Voisin}, AMS/IP Stud. Adv. Math. 48, 31--46 (2010; Zbl 1230.14009)
Debarre, Olivier; Voisin, Claire Hyper-Kähler fourfolds and Grassmann geometry. (English) Zbl 1217.14028 J. Reine Angew. Math. 649, 63-87 (2010). Reviewer: Andreas Höring (Mons-en-Baroeul) MSC: 14J35 14C05 14M15 53C26 PDFBibTeX XMLCite \textit{O. Debarre} and \textit{C. Voisin}, J. Reine Angew. Math. 649, 63--87 (2010; Zbl 1217.14028) Full Text: DOI arXiv
Voisin, Claire Rationally connected 3-folds and symplectic geometry. (English) Zbl 1178.14048 Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (II). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-259-4/pbk). Astérisque 322, 1-21 (2008). Reviewer: Andreas Höring (Paris) MSC: 14M22 14N35 14J45 53D45 PDFBibTeX XMLCite \textit{C. Voisin}, Astérisque 322, 1--21 (2008; Zbl 1178.14048) Full Text: arXiv
Voisin, Claire Hodge structures on cohomology algebras and geometry. (English) Zbl 1142.14006 Math. Ann. 341, No. 1, 39-69 (2008). Reviewer: Fumio Hazama (Hatoyama) MSC: 14C30 14J10 53C55 54D05 PDFBibTeX XMLCite \textit{C. Voisin}, Math. Ann. 341, No. 1, 39--69 (2008; Zbl 1142.14006) Full Text: DOI arXiv
Voisin, Claire On the homotopy types of Kähler manifolds and the birational Kodaira problem. (English) Zbl 1102.32008 J. Differ. Geom. 72, No. 1, 43-71 (2006). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32J27 53C55 32Q55 PDFBibTeX XMLCite \textit{C. Voisin}, J. Differ. Geom. 72, No. 1, 43--71 (2006; Zbl 1102.32008) Full Text: DOI arXiv
Voisin, Claire Recent progresses in Kähler and complex algebraic geometry. (English) Zbl 1089.32012 Laptev, Ari (ed.), Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27–July 2, 2004. Zürich: European Mathematical Society (EMS) (ISBN 3-03719-009-4/hbk). 787-807 (2005). Reviewer: Julien Keller (London) MSC: 32Q15 32C35 32-02 14C30 32Q55 32J27 PDFBibTeX XMLCite \textit{C. Voisin}, in: Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27--July 2, 2004. Zürich: European Mathematical Society (EMS). 787--807 (2005; Zbl 1089.32012)
Voisin, Claire On the homotopy types of compact Kähler and complex projective manifolds. (English) Zbl 1065.32010 Invent. Math. 157, No. 2, 329-343 (2004). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32J27 14C30 32G20 32J25 PDFBibTeX XMLCite \textit{C. Voisin}, Invent. Math. 157, No. 2, 329--343 (2004; Zbl 1065.32010) Full Text: DOI arXiv
Voisin, Claire On the punctual Hilbert scheme of a symplectic fourfold. (English) Zbl 1103.14006 Bertram, Aaron (ed.) et al., Symposium in honor of C. H. Clemens. A weekend of algebraic geometry in celebration of Herb Clemens’s 60th birthday, University of Utah, Salt Lake City, UT, USA, March 10–12, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2152-0/pbk). Contemp. Math. 312, 265-289 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 14C05 32Q60 32J15 53D05 32J27 53C55 PDFBibTeX XMLCite \textit{C. Voisin}, Contemp. Math. 312, 265--289 (2002; Zbl 1103.14006)
Voisin, Claire A counterexample to the Hodge conjecture extended to Kähler varieties. (English) Zbl 1048.14004 Int. Math. Res. Not. 2002, No. 20, 1057-1075 (2002). Reviewer: Fumio Hazama (Hatoyama) MSC: 14C30 32J25 32J27 PDFBibTeX XMLCite \textit{C. Voisin}, Int. Math. Res. Not. 2002, No. 20, 1057--1075 (2002; Zbl 1048.14004) Full Text: DOI
Voisin, Claire Sur la stabilité des sous-variétés lagrangiennes des variétés symplectiques holomorphes. (On the stability of the Lagrangian subvarieties of holomorphic symplectic varieties). (French) Zbl 0765.32012 Complex projective geometry, Sel. Pap. Conf. Proj. Var., Trieste/Italy 1989, and Vector Bundles and Special Proj. Embeddings, Bergen/Norway 1989, Lond Math. Soc. Lect. Note Ser. 179, 294-303 (1992). Reviewer: A.Tancredi (Perugia) MSC: 32G07 53C15 PDFBibTeX XMLCite \textit{C. Voisin}, in: Complex projective geometry. Selected papers from the conference on projective varieties, 19-24 June 1989 in Trieste, Italy, and the conference on vector bundles and special projective embeddings, 3-16 July 1989 in Bergen, Norway. Cambridge: Cambridge University Press. 294--303 (1992; Zbl 0765.32012)