… Section 11 presents another application to a wide class of special … be coherent if so is
the frame \(\Omega (X)\); for topological spaces, we will usually say “spectral” instead of “coherent”. …

… category of quasi-coherent complexes on a qcqs scheme [TT… of OX -modules with
quasi-coherent cohomology (see [AHR, … We define Z as the derived zero locus of ψ, so that there is …

… Let R be a noetherian ring and M a finitely generated R-module. 1) For multiplicative closed
S ⊆ R we have Ass(S−1M) = Ass(M) ∩ Spec(S−1R). 2) P ⊇ AnnM minimal prime above …

… of finite abelian groups in characteristic zero (Theorem G). … for local ring spectra ℜ with
residue field F𝑝, paying special … F𝑝-orientability is detected by nil-conservative functors. We also …

… trace map in the special case of so-called special affinoid wide-… from coherent sheaves on
X to coherent sheaves on X′. We … of Td, different from zero, is a zero divisor in R. Since R is …

… a conjecture concerning the special value ∗(1(15), −1) associated to the elliptic modular
curve … Then every set which has at least zero successive in ma (ie is bounded from below) has …

… Let A be a commutative ring and E be an A-module. The trivial ring extension of A by E (also …
For any ring R, we denote by Nil(R) (resp., dim(R)), the set of nilpotent elements of R (resp., …

… on commutative rings (of characteristic zero) with identity which … of locales equipped with
a “specific” endomorphism. Via a … something similar can be achieved for coherent theories. …

… ̂0,̂0 nil the category of finitely generated Harish-Chandra … In Section 10 we define the
“perverse coherent t-structure” on … If k is a commutative ring and H is a flat affine group scheme …

… is only homotopic to zero in a homotopy coherent way. This is … functors for which we will use
specific notations \(Sym^u\), \(\… reduces to the fact that quasi-coherent modules is a stack for …