Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Grading of the affine line and its Quot scheme
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

For a field

kand a grading of the polynomial ringk[t]with Hilbert functionh, weconsider the Quot functor

QuothV

, where V =

?

di

=1k[t]is a finitely generated and

free

k[t]-module. The Quot functor parametrizes, for any k-algebra B, homogeneous

B

[t]-submodulesN⊆B⊗kVsuch that the graded components of the quotient(

B⊗kV)/Nare locally freeB-modules of rank given byh. We find that it is locallyrepresentable by a polynomial ring over

kin a finite number of variables. Finally, weshow that there is a scheme that represents the Quot functor that is both smooth

and irreducible.

Place, publisher, year, edition, pages
2011. , 39 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-102882OAI: oai:DiVA.org:kth-102882DiVA: diva2:557257
Educational program
Master of Science in Engineering -Engineering Physics
Available from: 2012-09-27 Created: 2012-09-27 Last updated: 2012-09-27Bibliographically approved

Open Access in DiVA

ex.jobbGSS(670 kB)34 downloads
File information
File name FULLTEXT01.pdfFile size 670 kBChecksum SHA-512
19e58d9f20f607305b199e4227bb8d0acffbb0d646b78a7b36ad2f76b3a956253ddc8eee2ee43195ee66e9fa4d671cf7252da29f477ceae2f270426c1ed05130
Type fulltextMimetype application/pdf

By organisation
Mathematics (Dept.)
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 34 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 143 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf