Derived equivalent threefolds, algebraic representatives, and the coniveau filtration

Achter JD, Casalaina-Martin S, Vial C (2019)
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 167(1): 123-131.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
A conjecture of Orlov predicts that derived equivalent smooth projective varieties over a field have isomorphic Chow motives. The conjecture is known for curves, and was recently observed for surfaces by Huybrechts. In this paper we focus on threefolds over perfect fields, and unconditionally secure results, which are implied by Orlov's conjecture, concerning the geometric coniveau filtration, and abelian varieties attached to smooth projective varieties.
Erscheinungsjahr
Zeitschriftentitel
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
Band
167
Ausgabe
1
Seite(n)
123-131
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Achter JD, Casalaina-Martin S, Vial C. Derived equivalent threefolds, algebraic representatives, and the coniveau filtration. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 2019;167(1):123-131.
Achter, J. D., Casalaina-Martin, S., & Vial, C. (2019). Derived equivalent threefolds, algebraic representatives, and the coniveau filtration. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 167(1), 123-131. doi:10.1017/S0305004118000221
Achter, J. D., Casalaina-Martin, S., and Vial, C. (2019). Derived equivalent threefolds, algebraic representatives, and the coniveau filtration. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 167, 123-131.
Achter, J.D., Casalaina-Martin, S., & Vial, C., 2019. Derived equivalent threefolds, algebraic representatives, and the coniveau filtration. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 167(1), p 123-131.
J.D. Achter, S. Casalaina-Martin, and C. Vial, “Derived equivalent threefolds, algebraic representatives, and the coniveau filtration”, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, vol. 167, 2019, pp. 123-131.
Achter, J.D., Casalaina-Martin, S., Vial, C.: Derived equivalent threefolds, algebraic representatives, and the coniveau filtration. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 167, 123-131 (2019).
Achter, Jeffrey D., Casalaina-Martin, Sebastian, and Vial, Charles. “Derived equivalent threefolds, algebraic representatives, and the coniveau filtration”. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 167.1 (2019): 123-131.