scholarly journals Projective normality of torus quotients of flag varieties

2020 ◽  
Vol 224 (10) ◽  
pp. 106389
Author(s):  
Arpita Nayek ◽  
S.K. Pattanayak ◽  
Shivang Jindal
Keyword(s):  
Flag Varieties ◽  
Projective Normality

Projective normality of flag varieties and Schubert varieties

1985 ◽  
Vol 79 (2) ◽  
pp. 217-224 ◽  
Author(s):  
S. Ramanan ◽  
A. Ramanathan
Keyword(s):  
Schubert Varieties ◽  
Flag Varieties ◽  
Projective Normality

scholarly journals Frobenius Splitting of Thick Flag Manifolds of Kac–Moody Algebras

2018 ◽  
Vol 2020 (17) ◽  
pp. 5401-5427 ◽  
Author(s):  
Syu Kato
Keyword(s):  
Line Bundle ◽  
Schubert Variety ◽  
Flag Manifold ◽  
Schubert Varieties ◽  
Flag Manifolds ◽  
Flag Varieties ◽  
Moody Algebra ◽  
Frobenius Splitting ◽  
Projective Normality ◽  
Plücker Relations

Abstract We explain that the Plücker relations provide the defining equations of the thick flag manifold associated to a Kac–Moody algebra. This naturally transplants the result of Kumar–Mathieu–Schwede about the Frobenius splitting of thin flag varieties to the thick case. As a consequence, we provide a description of the space of global sections of a line bundle of a thick Schubert variety as conjectured in Kashiwara–Shimozono [13]. This also yields the existence of a compatible basis of thick Demazure modules and the projective normality of the thick Schubert varieties.

Tropical flag varieties

2021 ◽  
Vol 384 ◽  
pp. 107695
Author(s):  
Madeline Brandt ◽  
Christopher Eur ◽  
Leon Zhang
Keyword(s):  
Flag Varieties

scholarly journals Euler characteristics in the quantum K-theory of flag varieties

2020 ◽  
Vol 26 (2) ◽  
Author(s):  
Anders S. Buch ◽  
Sjuvon Chung ◽  
Changzheng Li ◽  
Leonardo C. Mihalcea
Keyword(s):  
Flag Varieties ◽  
Euler Characteristics ◽  
K Theory

Chow groups of some generically twisted flag varieties

2017 ◽  
Vol 2 (2) ◽  
pp. 341-356 ◽  
Author(s):  
Nikita Karpenko
Keyword(s):  
Chow Groups ◽  
Flag Varieties

scholarly journals Inversions Within Restricted Fillings of Young Tableaux

10.37236/1030 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Sarah Iveson
Keyword(s):  
Upper Bound ◽  
Exact Expression ◽  
Flag Varieties ◽  
Young Tableaux ◽  
Geometric Properties ◽  
Number Of Components ◽  
Hessenberg Varieties ◽  
Special Cases

In this paper we study inversions within restricted fillings of Young tableaux. These restricted fillings are of interest because they describe geometric properties of certain subvarieties, called Hessenberg varieties, of flag varieties. We give answers and partial answers to some conjectures posed by Tymoczko. In particular, we find the number of components of these varieties, give an upper bound on the dimensions of the varieties, and give an exact expression for the dimension in some special cases. The proofs given are all combinatorial.

On the projective normality of the adjunction bundles

1991 ◽  
Vol 66 (1) ◽  
pp. 362-367 ◽  
Author(s):  
Marco Andreatta ◽  
Andrew J. Sommese
Keyword(s):  
Projective Normality
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