Some explicit minimal graded free resolutions (Record no. 48796)
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fixed length control field | 01399nam a2200229Ia 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 160627s2008||||xx |||||||||||||| ||und|| |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | HBNI Th-2 |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Aaloka, Kanhere |
Relator term | author |
245 ## - TITLE STATEMENT | |
Title | Some explicit minimal graded free resolutions |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Year of publication | 2008 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | ix; 61p. |
502 ## - DISSERTATION NOTE | |
Dissertation note | 2008 |
502 ## - DISSERTATION NOTE | |
Degree Type | Ph.D |
502 ## - DISSERTATION NOTE | |
Name of granting institution | HBNI |
520 3# - SUMMARY, ETC. | |
Summary, etc | This thesis has three parts. In the first part an irreducible curve C in P^2 is considered. The Veronese map is used for mapping it to P^5 and the resolutions are computed. In the second part, looking into two distinct irreducible plane projective curves and by Bezout's theorem the reduced intersection of two distinct curves, C and C' are considered in P^2, and found the resolution of sigma ( C intersection C' ). In the third part an explicit differential graded algebra is computed for one of the previously computed resolutions. While working on Syzygies and minimal free resolutions, only the homogeneous coordinate rings of projective varieties and finitely generated modules over them are considered and hence the definitions and notations adapted accordingly. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics |
653 10 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Algebraic Geometry |
720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
Thesis Advisor | Nagaraj, D. S. |
Relator term | Thesis advisor [ths] |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/115 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | THESIS & DISSERTATION |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | HBNI Th-2 | 60863 | http://www.imsc.res.in/xmlui/handle/123456789/115 | THESIS & DISSERTATION |