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Affine Deligne-Lusztig varieties in affine flag varieties
Affine Deligne-Lusztig flag varieties
2015/9/29
This paper studies ane Deligne-Lusztig varieties in the ane
ag manifold of a split
group. Among other things, it proves emptiness for certain of these varieties, relates
some of them to those fo...
THE AFFINE STRATIFICATION NUMBER AND THE MODULI SPACE OF CURVES
AFFINE STRATIFICATION NUMBER MODULI SPACE
2015/7/14
One relevant example (Example 4.9) turns out to be a proper integral variety with no
embeddings in a smooth algebraic space. This one-paragraph construction appears to be
simpler and more elementary...
A cohomological classification of vector bundles on smooth affine threefolds
cohomological classification vector bundles smooth affine threefolds Algebraic Geometry
2012/4/23
We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to 2. As a consequence, if A is a smooth affine alge...
Affine SU(N) algebra from wall-crossings
wall-crossings SU(N) algebra High Energy Physics - Theory
2011/10/9
Abstract: We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A_{N-1}-AL...
Affine open subsets in A^3 without the cancellation property
Cancellation problem Koras-Russell threefolds Algebraic Geometry
2011/9/1
Abstract: We give families of examples of principal open subsets of the affine space \mathbb{A}^{3} which do not have the cancellation property. We show as a by-product that the cylinders over Koras-R...