Degenerate flag varieties of type A: Frobenius splitting and BW theorem
نویسندگان
چکیده
منابع مشابه
Frobenius Splitting of Cotangent Bundles of Flag Varieties and Geometry of Nilpotent Cones
Let G be a semisimple, simply connected algebraic group over an algebraically closed field of prime characteristic p > 0. Let U be the unipotent part of a Borel subgroup B ⊂ G and u the Lie algebra of U . Springer [15] has shown for good primes, that there is a B-equivariant isomorphism U → u, where B acts through conjugation on U and through the adjoint action on u (for G = SLn one has the wel...
متن کاملFrobenius Splitting for Schubert Varieties
This thesis presents an expository account of the use of Frobenius splitting techniques in the study of Schubert varieties. After developing the basic theory of Frobenius splitting, we show that the Schubert and Bott-Samelson varieties are split and use this to derive geometric consequences in arbitrary characteristic. The main result highlighted is that Schubert varieties are normal, Cohen-Mac...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Schubert Varieties, Subword Complexes, Frobenius Splitting, and Bruhat Atlases
We consider stratifications of schemes by subvarieties, and introduce the notion of a stratification generated by a collection of (reduced) subschemes. We recall some basics of Gröbner degenerations (just for lex order) and Stanley-Reisner theory. We then state the main theorem, that the lex init of a Kazhdan-Lusztig variety in BottSamelson coördinates is the Stanley-Reisner scheme of a subword...
متن کاملMultiple Flag Varieties of Finite Type
We classify all products of flag varieties with finitely many orbits under the diagonal action of the general linear group. We also classify the orbits in each case and construct explicit representatives.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2012
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-012-1122-9