| Autor: |
MANSOUR, RONIT, MELNIKOV, ANNA |
| Zdroj: |
Transformation Groups; Jun2023, Vol. 28 Issue 2, p867-910, 44p |
| Abstrakt: |
Let x ∈ Mn(핂) satisfy x2 = 0. Let F x be the Springer fiber over x. The components of F x are labeled by standard Young tableaux with two columns. For a Young tableau T with two columns, one can define a numerical invariant ρ(T). The component F T is singular if and only if ρ(T) ≥ 2. In this paper, we construct the stratification of F T for T with ρ(T) = 2, which reflects also the inner structure of the singular locus, and show that such components have equivalent stratifications if and only if they are isomorphic as algebraic varieties and provide the combinatorial procedure which partitions the set of such components into the classes of isomorphic components. We explain why the stratification of F T for T with ρ(T) ≥ 3 is very complex and does not reflect the inner structure of the singular locus. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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