Algebraic cobordism theory attached to algebraic equivalence
نویسندگان
چکیده
منابع مشابه
Algebraic Cobordism
Together with F. Morel, we have constructed in [6, 7, 8] a theory of algebraic cobordism, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory repres...
متن کاملAlgebraic Cobordism Ii
We complete and extend the construction of algebraic cobordism from [4]. Let k be a field admitting resolution of singularities, let Schk denote the category of finite type schemes over a field k, and let Smk be the full subcategory of smooth quasiprojective k-schemes. For an l.c.i. morphism f : X → Y of finite type k-schemes, we define a functorial pullback morphism f ∗. With these pull-back m...
متن کاملEquivariant Algebraic Cobordism
We construct an equivariant algebraic cobordism theory for schemes with an action by a linear algebraic group over a field of characteristic zero.
متن کاملFundamental Classes in Algebraic Cobordism
We recall our construction of fundamental classes in the algebraic cobordism of smooth quasi-projective varieties, and show by examples that it is not possible to extend this to fundamental classes, functorial for local complete intersection morphisms, for Cohen-Macaulay varieties.
متن کاملNorm Varieties and Algebraic Cobordism
We outline briefly results and examples related with the bijectivity of the norm residue homomorphism. We define norm varieties and describe some constructions. We discuss degree formulas which form a major tool to handle norm varieties. Finally we formulate Hilbert’s 90 for symbols which is the hard part of the bijectivity of the norm residue homomorphism, modulo a theorem of Voevodsky. 2000 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: Journal of K-Theory
سال: 2013
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is013001028jkt210