Affine Deligne-Lusztig varieties associated with generic Newton points
Xuhua He
TL;DR
This paper provides an explicit formula for the dimension of affine Deligne-Lusztig varieties linked to generic Newton points, expressed through Demazure products of Iwahori-Weyl groups, advancing understanding in algebraic geometry.
Contribution
It introduces a new explicit dimension formula for affine Deligne-Lusztig varieties associated with generic Newton points using Demazure products.
Findings
Derived an explicit dimension formula for affine Deligne-Lusztig varieties.
Connected the dimension calculation to Demazure products of Iwahori-Weyl groups.
Enhanced the theoretical understanding of the structure of these varieties.
Abstract
This paper gives an explicit formula of the dimension of affine Deligne-Lusztig varieties associated with generic Newton point in terms of Demazure product of Iwahori-Weyl groups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models