Geometry of tensor triangulated categories (Record no. 48848)
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| 000 -LEADER | |
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| fixed length control field | 01498nam a2200241Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2012||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI Th47 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Umesh Vanktesh Dubey |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Geometry of tensor triangulated categories |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 94p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2012 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | Given a quasi-projective scheme X with an action of a finite group G, consider the tensor triangulated category DG(X). The present study relates the spectrum of this category, as defined by P. Balmer, with the spectrum of the category of all perfect complexes over the scheme X=G. Similarly, consider the category of perfect complexes Dper(X) over a split super-scheme X. It gives isomorphism of the spectrum of Dper(X) with the spectrum of Dper(X0). Here X0 denotes the even part of the super-scheme X ; it is a scheme in the usual sense. The computation of these two spectrums gives examples of two distinct categories with isomorphic Balmer spectrums. The result also shows the limitations of the geometric notion spectrum beyond the category of schemes. This Report suggests some possible generalisations of Balmer's notion of spectrum. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI Th 47 |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Tensor Analysis |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Kapil Hari Paranjape |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/331 |
| 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| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |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 Th47 | 67566 | http://www.imsc.res.in/xmlui/handle/123456789/331 | THESIS & DISSERTATION |