Some explicit minimal graded free resolutions

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Some explicit minimal graded free resolutions

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dc.contributor.author Aaloka, Kanhere
dc.date.accessioned 2009-09-15T05:31:18Z
dc.date.available 2009-09-15T05:31:18Z
dc.date.issued 2009-09-15T05:31:18Z
dc.date.submitted 2008
dc.identifier.uri http://hdl.handle.net/123456789/115
dc.description.abstract 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. en_US
dc.publisher.publisher
dc.subject Algebraic Geometry en_US
dc.title Some explicit minimal graded free resolutions en_US
dc.type.degree Ph.D en_US
dc.type.institution HBNI en_US
dc.description.advisor Nagaraj, D. S.
dc.description.pages ix; 61p. en_US
dc.type.mainsub Mathematics en_US

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