Universität Bielefeld

Fakultät für Mathematik

Postfach 100131

33501 Bielefeld

Germany

Bielefeld algebraic and arithmetic geometry seminar

Oberseminar WS 2018-19: Recent advances concerning rationality of algebraic varieties

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

*Algebraically motivated normal functions are algebraic (with J. Achter and S. Casalaina-Martin)*. pdf*Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for abelian varieties*. pdf*On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder varieties (with R. Laterveer)*. pdf*Distinguished cycles on varieties with motive of abelian type and the Section Property (with L. Fu)*. J. Algebraic Geom., to appear. pdf*The generalized Franchetta conjecture for some hyper-Kaehler varieties (with L. Fu and R. Laterveer)*. J. Math. Pures Appl., to appear. pdf journal*Motivic hyperKaehler resolution conjecture: I. Generalized Kummer varieties (with L. Fu and Zh. Tian)*. Geom. Topol. 23 (2019) 427–492. pdf journal*Derived equivalent threefolds, algebraic representatives, and the coniveau filtration (with J. Achter and S. Casalaina-Martin)*. Math. Proc. Cambridge Philos. Soc., to appear. pdf journal*Derived equivalent varieties have isogenous Picard varieties (with J. Achter, S. Casalaina-Martin and K. Honigs).*. Proc. Amer. Math. Soc. 146 (2018), 1005–1013. pdf journal

Appendix to `Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varieties' by K. Honigs*Distinguished models of intermediate Jacobians (with J. Achter and S. Casalaina-Martin)*. J. Inst. Math. Jussieu, to appear. pdf journal*Parameter spaces for algebraic equivalence (with J. Achter and S. Casalaina-Martin)*. IMRN, to appear. pdf journal*On descending cohomology geometrically (with J. Achter and S. Casalaina-Martin)*. Compositio Math. 153 (2017) 1446–1478. pdf journal*Exceptional collections, and the Neron–Severi lattice for surfaces*. Advances in Math. 305 (2017) 895–934. pdf journal*On the motive of some hyperKaehler varieties*. J. reine angew. Math. 725 (2017) 235–247. pdf journal*The motive of the Hilbert cube X^[3] (with Mingmin Shen)*. Forum Math. Sigma 4 (2016) 55pp. pdf journal*The Fourier transform for certain hyperKaehler fourfolds (with Mingmin Shen)*. Memoirs of the AMS 240 (2016), no. 1139, vii+163 pp. pdf journal*Non-commutative resolutions and Grothendieck groups (with H. Dao, O. Iyama, and R. Takahashi)*. J. Noncommut. Geom. 9 (2015) 21–34. pdf journal*Remarks on motives of abelian type*. Tohoku Math. J. 69 (2017) 195–220. pdf journal*Algebraic cycles and fibrations*. Documenta Math. 18 (2013) 1521–1553. pdf journal*Chow-Kuenneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles*. J. Algebraic Geom. 24 (2015) 51–80. pdf journal*Projectors on the intermediate algebraic Jacobians*. New York J. Math. 19 (2013) 793–822. pdf journal-
*Niveau and coniveau filtrations on cohomology groups and Chow groups*. Proceedings of the LMS 106(2) (2013) 410–444. pdf journal -
*Pure motives with representable Chow groups*. Comptes Rendus 348 (2010) 1191–1195. pdf journal -
*Operations in Milnor K-theory*. J. Pure Appl. Algebra 213 (2009) 1325–1345. pdf journal