Dimension counts for singular rational curves. (Record no. 34992)
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|---|---|
| fixed length control field | 02280n a2200277#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 36139 |
| 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 | Cotterill, Ethan |
| Affiliation | (Universidade Federal Fluminense, Brazil) |
| 9 (RLIN) | 6818 |
| 245 10 - TITLE STATEMENT | |
| Title | Dimension counts for singular rational curves. |
| 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 | Rational curves are essential tools for classifying algebraic varieties. Establishing dimension bounds for families of embedded rational curves that admit singularities of a particular type arises arises naturally as part of this classification. Singularities, in turn, are classified by their value semigroups. Unibranch singularities are associated to numerical semigroups, i.e. subsemigroups of the natural numbers. These fit naturally into a tree, and each is associated with a particular weight, from which a bound on the dimension of the corresponding stratum in the Grassmannian may be derived. Understanding how weights grow as a function of (arithmetic) genus g, i.e. within the tree, is thus fundamental. We establish that for genus g \leq 8, the dimension of unibranch singularities is as one would naively expect. Multibranch singularities are far more complicated; in this case, we give a general classification strategy and again show, using semigroups, that dimension grows as expected relative to g when g \leq 5. This is joint work with Lia Fusaro Abrantes and Renato Vidal Martins . |
| 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 |
| 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=KiMgXdZgLG0&index=10&list=PLo4jXE-LdDTS_5dmdV-hbVmo_uqzfu08o">https://www.youtube.com/watch?v=KiMgXdZgLG0&index=10&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_ethan_cotterill.pdf">http://impa.br/wp-content/uploads/2016/12/abs_ethan_cotterill.pdf</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
No items available.