Torus-equivariant vector bundles on projective spaces

Content Provider	Scilit
Author	Kaneyama, Tamafumi
Copyright Year	1988
Description	For a free Z-module N of rank n, let T = $T_{N}$ be an n-dimensional algebraic torus over an algebraically closed field k defined by N. Let X = $T_{N}$ emb (Δ) be a smooth complete toric variety defined by a fan Δ (cf. [6]). Then T acts algebraically on X. A vector bundle E on X is said to be an equivariant vector bundle, if there exists an isomorphism $f_{t}$: t*E → E for each k-rational point t in T, where t: X → X is the action of t. Equivariant vector bundles have T-linearizations (see Definition 1.2 and [2], [4]), hence we consider T-linearized vector bundles.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/46D035FB5627F07CC505D5B79ABE7012/S0027763000000982a.pdf/div-class-title-torus-equivariant-vector-bundles-on-projective-spaces-div.pdf
Ending Page	40
Page Count	16
Starting Page	25
ISSN	00277630
e-ISSN	21526842
DOI	10.1017/s0027763000000982
Journal	Nagoya Mathematical Journal
Volume Number	111
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1988-09-01
Access Restriction	Open
Subject Keyword	Nagoya Mathematical Journal Vector Bundles Equivariant Vector Bundle
Content Type	Text
Resource Type	Article
Subject	Mathematics