arXiv Open Access 2001

Higher polyhedral K-groups

Winfried Bruns Joseph Gubeladze

Lihat Sumber

Abstrak

We define higher polyhedral K-groups for commutative rings, starting from the stable groups of elementary automorphisms of polyhedral algebras. Both Volodin's theory and Quillen's + construction are developed. In the special case of algebras associated with unit simplices one recovers the usual algebraic K-groups, while the general case of lattice polytopes reveals many new aspects, governed by polyhedral geometry. This paper is a continuation of [BrG5] (math.KT/0104206) which is devoted to the study of polyhedral aspects of the classical Steinberg relations. The present work explores the polyhedral geometry behind Suslin's well known proof of the coincidence of the classical Volodin's and Quillen's theories. We also determine all K-groups coming from 2-dimensional polytopes.

Topik & Kata Kunci

math.KT math.AG

Penulis (2)

Winfried Bruns

Joseph Gubeladze

Format Sitasi

APA MLA BibTeX

Bruns, W., Gubeladze, J. (2001). Higher polyhedral K-groups. https://arxiv.org/abs/math/0108013

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓