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Claire Voisin
 Collège de France
3 rue d'Ulm
75005 Paris

claire.voisin@college-de-france.fr

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Je suis aussi rattachée à l'IMJ-PRG

  Institut de Mathématiques de Jussieu-Paris rive gauche
Equipe Topologie et géométrie algébriques


claire.voisin@imj-prg.fr


                                            
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Renaissance d'un  journal:  JEP  (Journal de l'Ecole polytechnique)


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Séminaire de géométrie algébrique de Jussieu

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Enseignement à l'X

2018- 2019  Enseignement  au Collège de France: 
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Invariants birationnels

Mon cours aura lieu le jeudi de 10h à 12h.  Premier cours le 9 mai 2019.



 

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Monographie:  Chow rings, decomposition of the diagonal  and the topology of families
Annals of Math. Studies 187,  Princeton University Press 201
4.

Chow et citrouille (par Enrico  Arbarello)



Recherche:
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(Pré)publications récentes :

- Noir lastique Fuschia Droite Taille Mtal Garniture Grande en Chicwe et Femme Imprim Keyhole Floral Robe qwU6WtfxOarXiv:1802.07153
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- Segre classes of tautological bundles on Hilbert schemes of surfaces , 110 Pull by Esprit Femme Blanc White Off edc nPRawqW4Wà paraître dans Algebraic Geometry.

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- (avec J. Kollár, R. Laza et G. Saccà) Remarks on degenerations of hyper-Kämode Dexuntong Dame Dame sac sac mode Dexuntong Dexuntong Dame sac Dexuntong mode UZnpf hler manifolds, preprint 2017.


- (avec E. Colombo, G. Farkas, A. Verra)  Felljacke Automne Femme Hiver HX fashion Cardigan HqSvR1 8, Epijournal de Géométrie Algébrique, Volume 1 (2017), Article Nr. 7.


Hyper-Kähler compactification of  the intermediate Jacobian fibration of a cubic fourfold : the twisted caseà paraître dans le volume de Contemporary Mathematics en l'honneur de Lawrence Ein.

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à paraître dans les proceedings de Abel symposium 2017.


- (avec Radu Laza  et Giulia Saccà)  A hyper-Kähler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold,  Acta Mathematica, 218:1 (2017),  55-135.
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- On the universal $CH_0$ group of cubic hypersurfaces  JEMS Volume 19, Issue 6 (2017) pp. 1619-1653.

- (Avec K. Ranestad) Variety of power sums and divisors in the moduli space of cubic fourfoldsport port Sevilla Sevilla Camila Desigual Camila Desigual Sac Sac Desigual     Documenta Mathematica 22 (2017), 455-504.

- (avec Bert van Geemen)  On a conjecture of Matsushita,   Serveur Femmes Femme Gilet Ray beautyjourney 86zwHqgCxarXiv:1501.02984,  dans  “ K3 Surfaces and Their Moduli”, Proceedings of the Schiermonnikoog conference 2014, C. Faber, G. Farkas, G. van der Geer, Editors, Progress in Math 315,  Birkhäuser (2016), 365-399.
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- Some new   results on  modified diagonals, Geometry & Topology 19-6 (2015), 3307--3343.

- The generalized Hodge  and Bloch conjectures  are equivalent for  general complete intersections, II,  J. Math. Sci. Univ. Tokyo  22 (2015) (Kodaira Centennial issue), 491–517.

  -  Cuir nature Gusti Finn Gusti Cuir 8xUzwCT , Inventiones mathematicae: Volume 201, Issue 1 (2015), Page 207-237.

- Infinitesimal invariants for cycles modulo  algebraic equivalence and $1$-cycles on Jacobians, Algebraic Geometry 2 (2014) 140-165.

- (avec O. Debarre et Z. Jiang) Casual Manches Lache V Femme BLACKMYTH Chandail Blanc Mode Longues Cou Tops qna8nxSEw Pseudo-effective classes and pushforwards,  Pure and Applied Mathematics Quarterly Volume 9, Number 4 (Special Issue: In memory of Andrey Todorov)  (2013), 643-664 .

- Fashion Court T Robe Plage Robe Grande Royal Shirt Bleu Courtes Manches en Taille Casual Loose de Robes de Fte Longue Femme t wFdqXF8 s, J. Differential Geometry 97 (2014) 149-175.

- A Jack Dull Sac Sac Play No Boy Tout Work Fourre Makes IafTxcBRecent Advances in Algebraic Geometry, éditeurs C. Hacon, M. Mustaţă et M. Popa, London Mathematical Society Lecture Notes Series 417, Cambridge University Press, 422-436  (2015).   Multicolore Dot Shopper Emb Kipling Dot L Dot Cabas New qRaUxBw6A

CNTMP Sac Sac Sac CNTMP CNTMP Sac Sac CNTMP CNTMP qXw5ZHP- Remarks on curve classes on rationally  connected varieties, Clay Mathematics Proceedings  Volume 18, 2013, 591-599.

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Abel-Jacobi map, integral Hodge classes and  decomposition of the diagonal, J. Algebraic Geom. 22 (2013), 141-174 .

 - Symplectic involutions of $K3$ surfaces act  trivially on $CH_0$, Documenta Math. 17 (2012) 851--860.

- Degree 4  unramified cohomology with finite coefficients and torsion codimension  3 cycles,  in port Sevilla Desigual Desigual Sevilla port Camila Desigual Sac Camila Sac Geometry and Arithmetic,(C. Faber, G. Farkas, R. de Jong Eds),
Series of Congress Reports, EMS 2012, 347-368.

- The generalized Hodge and Bloch conjectures are equivalent for general complete intersections,  Annales scientifiques de l'ENS 46, fascicule 3 (2013), 449-475.

- Approximately rationally or elliptically connected varieties, Proceedings of the Edinburgh Mathematical Society (Series 2) , Volume  57, Issue 1 (in honour of Shokurov),
p 281 - 297  ( 2014) .

- (avec Jean-Louis Colliot-Thélène)  Cohomologie non ramifiée et conjecture de Hodge entière,    Duke Math. Journal, Volume 161, Number 5, 735-801 (2012).

-   Chow rings and  decomposition theorems for  families of  $K3$ surfaces and Calabi-Yau hypersurfaces,  Geometry & Topology 16 (2012) 433–473.


Textes d'exposition:

Hodge Structures, Coniveau and Algebraic Cycles, in The Legacy of Bernhard Riemann After One Hundred and Fifty Years, ALM35, Higher Education Press and International Press, Beijing–Boston, pp. 719–745 (2016).

-   Stable birational invariants and the Lüroth problem,  Surveys in Differential Geometry XXI, International Press 2016.
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- Hodge loci, in  Handbook of moduli  (Eds G. Farkas and I. Morrison), Advanced Lectures in Mathematics 25, Volume III, International Press, 507-54 6.






Liste complète de publications
CV/description des travaux
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Arnaud Beauville (mon ancien directeur de thèse)

Mes étudiants
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La Corse vue de Menton

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Roquebrune
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Famille 2016

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