COMPUTATION OF THE GROTHENDIECK AND PICARD GROUPS OF A TORIC DM STACK BY USING A HOMOGENEOUS COORDINATE RING FOR

DOI10.1017/S001708951000056XzbMath1216.14004arXiv0806.0198MaRDI QIDQ3071056

S. Paul. Smith

Publication date: 31 January 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0198

zbMATH Keywords

monoidal categorynoncommutative localizationequivariant sheavestoric DM stack

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Graded rings (13A02) Picard groups (14C22) Relations of (K)-theory with cohomology theories (19E20) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (3)

Moduli stacks of Serre stable representations in tilting theory ⋮ The Grothendieck group of non-commutative non-Noetherian analogues of \(\mathbb{P}^1\) and regular algebras of global dimension two ⋮ Classification of affine vortices

Cites Work

• Intersection theory on algebraic stacks and on their moduli spaces
• Noncommutative projective schemes
• The orbifold Chow ring of toric Deligne-Mumford stacks

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