| Tag |
First Indicator |
Second Indicator |
Subfields |
| LEADER |
00000cam a2200000Ka 4500 |
| 001 |
in00002783744 |
| 005 |
20150922144937.0 |
| 006 |
m fo d |
| 007 |
cr unu|||||||| |
| 008 |
121120s2012 txu obm 000 0 eng d |
| 035 |
|
|
|a (OCoLC)ocn818759352
|
| 035 |
|
|
|a (OCoLC)818759352
|
| 035 |
|
|
|a (TxCM)http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11605
|
| 040 |
|
|
|a TXA
|c TXA
|d TXA
|d UtOrBLW
|
| 049 |
|
|
|a TXAM
|
| 099 |
|
|
|a 2012
|a Dissertation
|a 1969.1/ETD-TAMU-2012-08-11605
|
| 100 |
1 |
|
|a Martin Del Campo Sanchez, Abraham.
|
| 245 |
1 |
0 |
|a Galois groups of Schubert problems /
|c by Abraham Martin Del Campo Sanchez.
|
| 264 |
|
1 |
|a [College Station, Tex.] :
|b [Texas A&M University],
|c [2012]
|
| 300 |
|
|
|a 1 online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 500 |
|
|
|a "Major Subject: Mathematics"
|
| 588 |
|
|
|a Description from author supplied metadata (automated record created 2012-10-22 13:24:58).
|
| 502 |
|
|
|b Doctor of Philosophy
|c Texas A&M University
|d 2012
|o http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11605
|
| 504 |
|
|
|a Includes bibliographical references.
|
| 516 |
|
|
|a Text (Dissertation)
|
| 520 |
3 |
|
|a The Galois group of a Schubert problem is a subtle invariant that encodes intrinsic structure of its set of solutions. These geometric invariants are difficult to determine in general. However, based on a special position argument due to Schubert and a combinatorial criterion due to Vakil, we show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. The result follows from a particular inequality of Schubert intersection numbers which are Kostka numbers of two-rowed tableaux. In most cases, the inequality follows from a combinatorial injection. For the remaining cases, we use that these Kostka numbers appear in the tensor product decomposition of sl2C-modules. Interpreting the tensor product as the action of certain Toeplitz matrices and using spectral analysis, the inequality can be rewritten as an integral. We establish the inequality by estimating this integral using only elementary Calculus.
|
| 500 |
|
|
|a Electronic resource.
|
| 650 |
|
4 |
|a Major Mathematics.
|
| 653 |
|
|
|a Schubert calculus
|
| 653 |
|
|
|a Galois groups
|
| 653 |
|
|
|a Schubert problems
|
| 700 |
1 |
|
|a Sottile, Frank,
|e thesis advisor.
|
| 856 |
4 |
0 |
|u http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11605
|z Link to OAK Trust copy
|t 0
|
| 948 |
|
|
|a cataloged
|b h
|c 2012/11/20
|d o
|e jwilkinson
|
| 994 |
|
|
|a C0
|b TXA
|
| 999 |
|
|
|a MARS
|
| 999 |
f |
f |
|s 4371939f-73c4-3da0-aa1f-9cbf8aeda056
|i d7564b67-dc13-362e-8157-4f516a50612b
|t 0
|
| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
|t 0
|e 2012 Dissertation 1969.1/ETD-TAMU-2012-08-11605
|h Other scheme
|
| 998 |
f |
f |
|a 2012 Dissertation 1969.1/ETD-TAMU-2012-08-11605
|t 0
|l Available Online
|