Teoría K de categorías de complejos y aplicaciones

Autores: P. Pascual Gaínza
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 37, Fasc. 2, 1986, págs. 153-188
Idioma: español
Títulos paralelos:
- K-theory of complexes and applications
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Resumen
- We apply, following Gillet, Thomason ant others, Waldhausen’s Algebraic $K$-theory to categories of complexes. This permits a treatment of Higher Algebraic $K$-theory of schemes in the spirit of Grothendieck (SGA 6) and as a consequence it results the covariance of $K$-theory of coherent sehaves for proper morphisms. We introduce a bivariant Algebraic $K$-theory, solving a question of Fulton-MacPherson.