Some explicit minimal graded free resolutions
Material type:
TextPublication details: 2008Description: ix; 61pSubject(s): Mathematics | Algebraic GeometryOnline resources: Click here to access online Dissertation note: 2008Ph.DHBNI 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.
THESIS & DISSERTATION
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | HBNI Th-2 (Browse shelf (Opens below)) | Link to resource | Available | 60863 |
2008
Ph.D
HBNI
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.
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