S. Kumar University of North Carolina Chapel Hill, United States shrawan@email.unc.edu Descent of line bundles to GIT quotients of flag varieties Let G be a connected semisimple complex algebraic group with a maximal torus T and let P be a parabolic subgroup containg T . ... The following theorem is our main result. Theorem. Let L() be a homogeneous ample line bundle on the flag variety X = G/P . ... h) G of type E7 : 12P i) G of type E8 : 60Q. -2 -2 +n -1 -1 + n , ni Z 1 ...

... Constellations are star patterns on the sky ? ... Every star or galaxy we see can then be located on one of the 88 constellations into which we have divided the sky (coincidentally, the same number as there are keys on the piano.) Each of the 88 regions takes its name from the best-known star group or picture in that region, so the constellation Orion is the sector of the sky that includes the easily recognized star-pattern of Orion the Hunter. ... The Sky Challenger Star Wheels kit ? ...

... Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). ... The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. ... First, the problem is investigated in case of taut thread and Keplerian elliptic motion of the centre of mass. ... In a general case the free motion is bound to become connected....

... It's easy to get lost following the intricate filaments in this detailed image of faint supernova remnant Simeis 147. ... A Dust Devil Swirling on Mars . ... Orions Horsehead Nebula . ... NGC 2266: Old Cluster in the New General Catalog . ... Moon, Mercury, Monaco . ... Markarians Chain of Galaxies . ... Also visible in the above image of the Martian North Polar Cap are red areas of rock and sand, white areas of ice, and dark areas of unknown composition but hypothesized to be volcanic ash. ...

. To connect to your account on the remote system known as "castor": telnet castor Trying 129.215.112.8 ... Connected to castor.ucs.ed.ac.uk. Escape character is '^]'. SunOS UNIX (castor) login: . To start a telnet session and open a connection to the host "mstore-1": telnet telnet> open mstore-1 Trying 129.215.112.1 ... Connected to mstore-1.ucs.ed.ac.uk. Escape character is '^]'. SunOS UNIX (mstore-1) login: .

Astronotes Armagh Planetarium's Stellar Blog! ... Stars . ... Space Flight . ... Monthly Sky Notes . December . ... Would anyone turn down a good firework show in December? ... The Geminids meteor shower should then emerge in all its glory in the east in the constellation GeminiтАЩs patch of sky on the evening of the 13 th and early morning of the 14 th of December, with the last shooting stars visible up until the 18 th December and approximately one meteor per hour on display at that stage. ...

... As mentioned above, in an emergency ^@ can be used instead of ^M. When SM is started, or whenever the TERMTYPE command is used to change terminals, the arrow keys are bound to the commands previous_line , ext_line , previous_char , and ext_char . ... this won't work (you'll get a syntax error) and you'll have to use the next alternative, namely put the commands into a file and say read edit filename , for example: # Change the history character # name key history_char ! ...