Dynkin graphs and quadrilateral singularities /
Saved in:
| Author / Creator: | Urabe, Tohsuke, 1953- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1993. |
| Description: | 1 online resource (vi, 233 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1548 Lecture notes in mathematics (Springer-Verlag) ; 1548. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11070381 |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | 11070381 | ||
| 005 | 20170630045820.2 | ||
| 006 | m o d | ||
| 007 | cr unu|||||||| | ||
| 008 | 081219s1993 gw a ob 000 0 eng d | ||
| 003 | ICU | ||
| 040 | |a SPLNM |b eng |e pn |c SPLNM |d COO |d GW5XE |d OCLCQ |d GW5XE |d OCLCE |d OCLCO |d OCLCF |d OCLCQ |d TXI |d OCLCQ | ||
| 019 | |a 624478214 |a 681184546 | ||
| 020 | |a 9783540477693 |q (electronic bk.) | ||
| 020 | |a 3540477691 |q (electronic bk.) | ||
| 020 | |z 3540568778 | ||
| 020 | |z 9783540568773 | ||
| 020 | |z 0387568778 | ||
| 020 | |z 9780387568775 | ||
| 035 | |a (OCoLC)289052002 |z (OCoLC)624478214 |z (OCoLC)681184546 | ||
| 042 | |a dlr | ||
| 050 | 4 | |a QA3 |b .L28 no. 1548 |a QA614.58 | |
| 084 | |a 31.51 |2 bcl | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Urabe, Tohsuke, |d 1953- |0 http://id.loc.gov/authorities/names/n93045183 |1 http://viaf.org/viaf/17310256 | |
| 245 | 1 | 0 | |a Dynkin graphs and quadrilateral singularities / |c Tohsuke Urabe. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1993. | ||
| 300 | |a 1 online resource (vi, 233 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1548 | |
| 504 | |a Includes bibliographical references (page 227). | ||
| 520 | |a The study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double points that can occur on fibers in the semi-universal deformations of quadrilateral singularities are examined, to show that the possible combinations can be described by a certain law from the viewpoint of Dynkin graphs. This is equivalent to saying that the possible combinations of singular fibers in elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0) can be described by a certain law using classical Dynkin graphs appearing in the theory of semi-simple Lie groups. Further, a similar description for thecombination of singularities on plane sextic curves is given. Standard knowledge of algebraic geometry at the level of graduate students is expected. A new method based on graphs will attract attention of researches. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Quadrilateral singularities and elliptic K3 surfaces -- Theorems with the Ik-conditions for J 3,0, Z 1,0 and Q 2,0 -- Obstruction components -- Concept of co-root modules. | |
| 650 | 0 | |a Singularities (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85122871 | |
| 650 | 0 | |a Hypersurfaces. |0 http://id.loc.gov/authorities/subjects/sh85063722 | |
| 650 | 0 | |a Dynkin diagrams. |0 http://id.loc.gov/authorities/subjects/sh93003733 | |
| 650 | 6 | |a Singularités (Mathématiques) | |
| 650 | 6 | |a Hypersurfaces. | |
| 650 | 6 | |a Dynkin, Diagrammes de. | |
| 650 | 7 | |a Dynkin diagrams. |2 fast |0 (OCoLC)fst00900334 | |
| 650 | 7 | |a Hypersurfaces. |2 fast |0 (OCoLC)fst00965830 | |
| 650 | 7 | |a Singularities (Mathematics) |2 fast |0 (OCoLC)fst01119502 | |
| 650 | 1 | 7 | |a Algebraïsche meetkunde. |2 gtt |
| 650 | 0 | 7 | |a Singularität (Mathematik) |2 swd |
| 650 | 0 | 7 | |a Fläche. |2 swd |
| 650 | 0 | 7 | |a Hyperfläche. |2 swd |
| 650 | 0 | 7 | |a Dynkin-Graph. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Urabe, Tohsuke, 1953- |t Dynkin graphs and quadrilateral singularities. |d Berlin ; New York : Springer-Verlag, ©1993 |z 3540568778 |w (DLC) 93002182 |w (OCoLC)28222350 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1548. | |
| 856 | 4 | 0 | |u http://link.springer.com/10.1007/BFb0084369 |y SpringerLink |
| 903 | |a HeVa | ||
| 929 | |a eresource | ||
| 999 | f | f | |i c800d449-d14e-5b42-bc44-713fba9ae721 |s 1219e6d0-213f-5f01-aea1-4006cbb16972 |
| 928 | |t Library of Congress classification |a QA3 .L28 no. 1548 |l Online |c UC-FullText |u http://link.springer.com/10.1007/BFb0084369 |z SpringerLink |g ebooks |i 9878431 | ||