DERIVED EQUIVALENCE, ALBANESE VARIETIES, AND THE ZETA FUNCTIONS OF 3-DIMENSIONAL VARIETIES

作者:Honigs Katrina*
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(3): 1005-1013.
DOI:10.1090/proc/13810

摘要

We show that any derived equivalent smooth, projective varieties of dimension 3 over a finite field F-q have equal zeta functions. This result is an application of the extension to smooth, projective varieties over any field of Popa and Schnell's proof that derived equivalent smooth, projective varieties over C have isogenous Albanese torsors; this result is proven in an appendix by Achter, Casalaina-Martin, Honigs and Vial.

  • 出版日期2018-3