Charles Vial

Universität Bielefeld
Fakultät für Mathematik
Postfach 100131
33501 Bielefeld

My official page

Bielefeld algebraic and arithmetic geometry seminar


Published papers and preprints

My research is also available through MathSciNet, zbMath, Google and the arXiv.

  1. A motivic global Torelli theorem for isogenous K3 surfaces, with L. Fu. pdf
  2. Normal functions for algebraically trivial cycles are algebraic for arithmetic reasons, with J. Achter and S. Casalaina-Martin. pdf
    Forum of Mathematics, Sigma, to appear.
  3. Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for abelian varieties. pdf journal
    Annali della Scuola Normale Superiore di Pisa, to appear.
  4. On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder varieties, with R. Laterveer. pdf journal
    Canadian Journal of Mathematics, to appear.
  5. Distinguished cycles on varieties with motive of abelian type and the Section Property, with L. Fu. pdf
    Journal of Algebraic Geometry, to appear.
  6. The generalized Franchetta conjecture for some hyper-Kaehler varieties, with L. Fu and R. Laterveer. pdf journal
    Journal de Mathématiques Pures et Appliquées (journal de Liouville) 130 (2019) 1–35.
  7. Motivic hyperKaehler resolution conjecture: I. Generalized Kummer varieties, with L. Fu and Zh. Tian. pdf journal
    Geometry & Topology 23 (2019) 427–492.
  8. Derived equivalent threefolds, algebraic representatives, and the coniveau filtration, with J. Achter and S. Casalaina-Martin. pdf journal
    Mathematical Proceedings of the Cambridge Philosophical Society 167 (2019) 123–131.
  9. Derived equivalent varieties have isogenous Picard varieties, with J. Achter, S. Casalaina-Martin and K. Honigs.
    Appendix to `Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varieties' by K. Honigs. pdf journal
    Proceedings of the American Mathematical Society 146 (2018) 1005–1013.
  10. Distinguished models of intermediate Jacobians, with J. Achter and S. Casalaina-Martin. pdf journal
    Journal de l'Institut Mathématique de Jussieu, to appear.
  11. Parameter spaces for algebraic equivalence, with J. Achter and S. Casalaina-Martin. pdf journal
    International Mathematics Research Notices IMRN 2019, no. 6, 1863–1893.
  12. On descending cohomology geometrically, with J. Achter and S. Casalaina-Martin. pdf journal
    Compositio Mathematica 153 (2017) 1446–1478.
  13. Exceptional collections, and the Neron–Severi lattice for surfaces. pdf journal
    Advances in Mathematics 305 (2017) 895–934.
  14. On the motive of some hyperKaehler varieties. pdf journal
    Journal für die reine und angewandte Mathematik (Crelle's journal) 725 (2017) 235–247.
  15. The motive of the Hilbert cube X^[3], with Mingmin Shen. pdf journal
    Forum of Mathematics, Sigma 4 (2016) 55pp.
  16. The Fourier transform for certain hyperKaehler fourfolds, with Mingmin Shen. pdf journal
    Memoirs of the American Mathematical Society 240 (2016), no. 1139, vii+163 pp.
  17. Non-commutative resolutions and Grothendieck groups, with H. Dao, O. Iyama, and R. Takahashi. pdf journal
    Journal of Noncommutative Geometry 9 (2015) 21–34.
  18. Remarks on motives of abelian type. pdf journal
    Tohoku Mathematical Journal 69 (2017) 195–220.
  19. Algebraic cycles and fibrations. pdf journal
    Documenta Mathematica 18 (2013) 1521–1553.
  20. Chow-Kuenneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles. pdf journal
    Journal of Algebraic Geometry 24 (2015) 51–80.
  21. Projectors on the intermediate algebraic Jacobians. pdf journal
    New York Journal of Mathematics 19 (2013) 793–822.
  22. Niveau and coniveau filtrations on cohomology groups and Chow groups. pdf journal
    Proceedings of the London Mathematical Society 106(2) (2013) 410–444.
  23. Pure motives with representable Chow groups. pdf journal
    Comptes Rendus Mathématiques 348 (2010) 1191–1195.
  24. Operations in Milnor K-theory. pdf journal
    Journal of Pure and Applied Algebra 213 (2009) 1325–1345.