Algebraic K-theory of quasi-smooth blow-ups and cdh descent
نویسندگان
چکیده
منابع مشابه
Pro cdh-descent for cyclic homology and K-theory
In this paper we prove that cyclic homology, topological cyclic homology, and algebraic K-theory satisfy a pro Mayer–Vietoris property with respect to abstract blow-up squares of varieties, in both zero and finite characteristic. This may be interpreted as the well-definedness of K-theory with compact support.
متن کاملStructured Stable Homotopy Theory and the Descent Problem for the Algebraic K-theory of Fields
4 Endomorphism algebras for K-theory spectra 21 4.1 Some algebraic constructions . . . . . . . . . . . . . . . . . . . . 22 4.2 Space level constructions . . . . . . . . . . . . . . . . . . . . . . . 28 4.3 Group rings and rings of endomorphisms . . . . . . . . . . . . . . 30 4.4 A conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4.5 Examples where F contains an algebraic...
متن کاملTORIC VARIETIES, MONOID SCHEMES AND cdh DESCENT
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop many notions for monoid schemes based on classical algebraic geometry, such as separ...
متن کاملNonpositive curvature of blow - ups
Consider the following situation: MC is a complex manifold of complex dimension n, and DC is a union of smooth complex codimension-one submanifolds (i.e., DC is a smooth divisor). Examples of this situation include: (1) arrangements of projective hyperplanes in CP, as well as various blow-ups of such arrangements along intersections of hyperplanes, (2) nonsingular toric varieties (whereDC is th...
متن کاملChern Classes of Blow-ups
We extend the classical formula of Porteous for blowing-up Chern classes to the case of blow-ups of possibly singular varieties along regularly embedded centers. The proof of this generalization is perhaps conceptually simpler than the standard argument for the nonsingular case, involving Riemann-Roch without denominators. The new approach relies on the explicit computation of an ideal, and a m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Henri Lebesgue
سال: 2020
ISSN: 2644-9463
DOI: 10.5802/ahl.55