Intersection cohomology of reductive varieties

Roy Joshua; Michel Brion

Journal of the European Mathematical Society (2004)

  • Volume: 006, Issue: 4, page 465-481
  • ISSN: 1435-9855

Abstract

top
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.

How to cite

top

Joshua, Roy, and Brion, Michel. "Intersection cohomology of reductive varieties." Journal of the European Mathematical Society 006.4 (2004): 465-481. <http://eudml.org/doc/277268>.

@article{Joshua2004,
abstract = {We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.},
author = {Joshua, Roy, Brion, Michel},
journal = {Journal of the European Mathematical Society},
keywords = {reductive varieties; intersection cohomology; Betti numbers},
language = {eng},
number = {4},
pages = {465-481},
publisher = {European Mathematical Society Publishing House},
title = {Intersection cohomology of reductive varieties},
url = {http://eudml.org/doc/277268},
volume = {006},
year = {2004},
}

TY - JOUR
AU - Joshua, Roy
AU - Brion, Michel
TI - Intersection cohomology of reductive varieties
JO - Journal of the European Mathematical Society
PY - 2004
PB - European Mathematical Society Publishing House
VL - 006
IS - 4
SP - 465
EP - 481
AB - We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
LA - eng
KW - reductive varieties; intersection cohomology; Betti numbers
UR - http://eudml.org/doc/277268
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.