Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$

Details Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$ Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$

2006-05-27

arxiv.org/abs/math/0605701v2

Mathematics

Algebraic Geometry

Scientific paper

Toric varieties associated with root systems appeared very naturally in the theory of group compactifications. Here they are considered in a very different context. We prove the vanishing of higher cohomology groups for certain line bundles on toric varieties associated to $GL_n$ and $G_2$. This can be considered of general interest and it improves the previously known results for these varieties. We also show how these results give a simple proof of a converse to Mazur's inequality for $GL_n$ and $G_2$ respectively. It is known that the latter imply the non-emptiness of some affine Deligne-Lusztig varieties.

Affiliated with

Also associated with

No associations

Rating

Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vanishing Results for Toric Varieties Associated to $GL_n$ and $G_2$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713118