Stability and embedding properties of some projective manifolds (Record no. 48856)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01768nam a2200253Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2014||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI Th71 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Seshadri Chintapalli |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Stability and embedding properties of some projective manifolds |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2014 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 78p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2014 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | This thesis is divided into two parts. In the first part, it is proved that, the semistability of logarithmic de Rham sheaves on a smooth projective variety (X;D), under suitable conditions. This is related to existence of Kahler-Einstein metric on the open variety. The present study investigates this problem when the Picard number is one. Fix a normal crossing divisor D on X and consider the logarithmic de Rham sheaf X(logD) on X. Semistability of this sheaf, is proved, when the log canonical sheaf KX + D is ample or trivial, or when -K x -D is ample i.e., when x is a log Fano n-fold of dimension n < or = 6. The study also extends the semistability result for Kawamata coverings, and this gives examples whose Picard number can be greater than one. The second part, investigates linear systems on hyper elliptic varieties. Analogues of well-known theorems on abelian varieties, like Lefschetz's embedding theorem and higher k-jet embedding theorems are proved. Syzygy or Np-properties are also deduced for appropriate powers of ample line bundles. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Embedding Properties |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI Th71 |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Projective Manifolds |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Jaya NN Iyer |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/356 |
| 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 |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI Th71 | 70562 | http://www.imsc.res.in/xmlui/handle/123456789/356 | THESIS & DISSERTATION |