| dc.contributor.author | Maingi, Damian M | |
| dc.date.accessioned | 2013-05-07T10:27:26Z | |
| dc.date.available | 2013-05-07T10:27:26Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | International Mathematical Forum, Vol. 6, 2011, no. 8, 389 - 398 | en |
| dc.identifier.uri | http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/19752 | |
| dc.description.abstract | Let k an algebraically closed field and R the homogeneous coordinate ring
of Pn and ΩPn the cotangent bundle of Pn. In this paper I prove that for a given set S of
s general points in Pn then the evaluation map H0
Pn,ΩPn(l)
−→
s
i=1 ΩPn(l)|Pi is of
maximal rank. Implying that a0 = 0 or b0 = 0 so that a0b0 = 0 as conjectured by Anna
Lorenzini [4, 5] see below
· · · −−−→ R(−d − 2)b1
R(−d − 1)a0 −−−→ R(−d − 1)b0
R(−d)(d+n
n )−s −−−→ IS −→ 0
Mathematics Subject Classification: 13D02, 16E05 | en |
| dc.language.iso | en | en |
| dc.subject | Elementary Transformations, | en |
| dc.subject | Cotangent Vector Bundle | en |
| dc.title | Maximal Rank for ΩPn | en |
| dc.type | Article | en |
| local.publisher | The School of Mathematics University of Nairobi | en |
