Instanton sheaves and components of the moduli space of semistable sheaves on the projective space. (Record no. 34994)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02598n a2200313#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 36141 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | P5A |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140536.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cuuuuuauuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150512s2015 bl por d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | ocm51338542 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | P5A |
| Transcribing agency | P5A |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Congressos e Seminários. |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Jardim, Marcos. |
| Affiliation | (Universidade Federal Fluminense, Brazil) |
| 9 (RLIN) | 15927 |
| 245 10 - TITLE STATEMENT | |
| Title | Instanton sheaves and components of the moduli space of semistable sheaves on the projective space. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rio de Janeiro: |
| Name of publisher, distributor, etc. | IMPA, |
| Date of publication, distribution, etc. | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | video online |
| 500 ## - GENERAL NOTE | |
| General note | Talk. |
| 505 2# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Recent results by Tikhomirov, and by the author and Verbitsky have answered old questions about the geometry of the moduli space I(c) of rank 2 instanton bundles of charge c on the projective space: we now know that this is an irreducible, non-singular affine variety of dimension 8c-3. The next step is to study its compactification. Since every rank 2 instanton bundle on P^3 is stable, I(c) can be regarded as an open subset of the Gieseker--Maruyama scheme M(c) of semistable rank 2 torsion free sheaves on P^3 with Chern classes c_1=c_3=0 and c_2=c. One can then consider the closure of I(c) within M(c). In this talk we show that the singular locus of non-locally free rank 2 instanton sheaves on P^3 have pure dimension 1. We then describe certain irreducible components of the boundary of I(c) with dimension 8c-4. Such components consist of stable, non-locally free rank 2 instanton sheaves whose singular loci are rational curves. In addition, we describe new components of M(3) and M(5) consisting of stable, non-locally free rank 2 instanton sheaves whose singular loci are elliptic curves. The results presented are joint work with M. Gargate and with D. Markushevich and A. S. Tikhomirov . |
| 650 04 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matematica. |
| Source of heading or term | larpcal |
| 9 (RLIN) | 19899 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Congressos e Seminários. |
| Linkage | 23755 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gargate, M. |
| 9 (RLIN) | 6822 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Markushevich, D. |
| 9 (RLIN) | 6823 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tikhomirov, A.S. |
| 9 (RLIN) | 6824 |
| 711 2# - ADDED ENTRY--MEETING NAME | |
| Meeting name or jurisdiction name as entry element | Moduli Spaces and Enumerative Geometry |
| Date of meeting or treaty signing | (2015: |
| Location of meeting | IMPA, Rio de Janeiro, Brazil) |
| 9 (RLIN) | 6810 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | VIDEO |
| Uniform Resource Identifier | <a href="https://www.youtube.com/watch?v=Oa3v-K7z9-E&index=4&list=PLo4jXE-LdDTS_5dmdV-hbVmo_uqzfu08o">https://www.youtube.com/watch?v=Oa3v-K7z9-E&index=4&list=PLo4jXE-LdDTS_5dmdV-hbVmo_uqzfu08o</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | RESUMO |
| Uniform Resource Identifier | <a href="http://impa.br/wp-content/uploads/2016/12/abs_marcos_jardim.pdf">http://impa.br/wp-content/uploads/2016/12/abs_marcos_jardim.pdf</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
No items available.