Monads on a Multiprojective Space, P× P b
View/ Open
Date
2012Author
. Maingi, Damian M
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
For all integers a, b > 0 we establish explicitly the existence of
monads on a multiprojective Space Pa×Pb following the conditions established
by Floystad. That is for all positive integers α, β, γ there exists a monad on
the multiprojective space X = Pa × Pb whose maps A and B have entries
being linear in two sets of homogeneous coordinates x0 : ... : xa and y0 : ... : yb
and it takes the form:
0 Oα
X(−1,−1)A
Oβ
X
B
Oγ
X(1, 1) 0
where the maps A and B are matrices with B ·A = 0 and they are of maximal
rank.
URI
http://www.m-hikari.com/imf/imf-2012/53-56-2012/maingiIMF53-56-2012.pdfhttp://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/37110
Citation
International Mathematical Forum, Vol. 7, 2012, no. 54, 2669 - 2673Publisher
University of Nairobi School of Mathematics
Collections
- Faculty of Education (FEd) [1039]