Beschreibung:
<p>An explicit geometric description of certain components of Springer fibers for <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S upper L left-parenthesis n comma upper C right-parenthesis">
<mml:semantics>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:annotation encoding="application/x-tex">SL(n,C)</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> s given in this article. These components are associated to closed <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S left-parenthesis upper G upper L left-parenthesis p right-parenthesis times upper G upper L left-parenthesis q right-parenthesis right-parenthesis">
<mml:semantics>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>×<!-- × --></mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>q</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:annotation encoding="application/x-tex">S(GL(p)\times GL(q))</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>-orbits in the flag variety. The geometric results are used to compute the associated cycles of the discrete series representations of <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S upper U left-parenthesis p comma q right-parenthesis">
<mml:semantics>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>U</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:annotation encoding="application/x-tex">SU(p,q)</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula>. A discussion of an alternative, and more general, computation of associated cycles is given in the appendix.</p>