RT Journal Article
T1 Relative perfect complexes
A1 Alonso Tarrío, Leovigildo
A1 Jeremías López, Ana
A1 Sancho de Salas, Fernando
K1 Perfect complexes
K1 Mathematics
K1 Algebra
AB Let f:X→Y be a morphism of concentrated schemes. We characterize f-perfect complexes E as those such that the functor E⊗LLXLLf∗− preserves bounded complexes. We prove, as a consequence, that a quasi-proper morphism takes relative perfect complexes into perfect ones. We obtain a generalized version of the semicontinuity theorem of dimension of cohomology and Grauert’s base change of the fibers. Finally, a bivariant theory of the Grothendieck group of perfect complexes is developed
PB Springer
SN 0025-5874
YR 2023
FD 2023
LK http://hdl.handle.net/10347/30854
UL http://hdl.handle.net/10347/30854
LA eng
NO Alonso Tarrío, L., Jeremías López, A. & Sancho de Salas, F. Relative perfect complexes. Math. Z. 304, 42 (2023). https://doi.org/10.1007/s00209-023-03294-7
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
DS Minerva
RD 4 may 2026