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 کاملReal Plane Algebraic Curves
We study real algebraic plane curves, at an elementary level, using as little algebra as possible. Both cases, affine and projective, are addressed. A real curve is infinite, finite or empty according to the fact that a minimal polynomial for the curve is indefinite, semi–definite nondefinite or definite. We present a discussion about isolated points. By means of the operator, these points can ...
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 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...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1992
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1992.153.31