Linear conditions imposed on flag varieties
نویسندگان
چکیده
منابع مشابه
Linear Conditions Imposed on Flag Varieties
We study subvarieties of the flag variety called Hessenberg varieties, defined by certain linear conditions. These subvarieties arise naturally in applications including geometric representation theory, number theory, and numerical analysis. We describe completely the homology of Hessenberg varieties over GLn(C) and show that they have no odd-dimensional homology. We provide an explicit geometr...
متن کاملImposing Linear Conditions on Flag Varieties
Abstract. We study subvarieties of the flag variety defined by certain linear conditions. These subvarieties are called Hessenberg varieties and arise naturally in applications including geometric representation theory, number theory, and numerical analysis. We describe completely the homology of Hessenberg varieties over GLn(C) and show that they have no odd-dimensional homology. We provide an...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2006
ISSN: 1080-6377
DOI: 10.1353/ajm.2006.0050