Some explicit minimal graded free resolutions (Record no. 48796)

000 -LEADER
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
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th-2 60863 http://www.imsc.res.in/xmlui/handle/123456789/115 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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