Algebra & Number Theory
- Algebra Number Theory
- Volume 11, Number 9 (2017), 2165-2192.
Adams operations on matrix factorizations
We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet and Soulé. As an application, we give a proof of a conjecture of Dao and Kurano concerning the vanishing of Hochster’s pairing.
Algebra Number Theory, Volume 11, Number 9 (2017), 2165-2192.
Received: 31 December 2016
Accepted: 9 August 2017
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13D15: Grothendieck groups, $K$-theory [See also 14C35, 18F30, 19Axx, 19D50]
Secondary: 13D02: Syzygies, resolutions, complexes 13D09: Derived categories 13D22: Homological conjectures (intersection theorems)
Brown, Michael; Miller, Claudia; Thompson, Peder; Walker, Mark. Adams operations on matrix factorizations. Algebra Number Theory 11 (2017), no. 9, 2165--2192. doi:10.2140/ant.2017.11.2165. https://projecteuclid.org/euclid.ant/1513730350