Results 101 to 110 of about 445,079 (174)

Classification of two-orbit varieties [PDF]

open access: yesarXiv, 2002
A two-orbit variety is a normal complete complex algebraic variety on which a reductive complex algebraic group acts with exactly two orbits. The aim of this paper is to give the classification of all two-orbit varieties and to prove Luna's conjecture, namely that two-orbit varieties are spherical.
arxiv  

Holomorphic one-forms on varieties of general type [PDF]

open access: yesarXiv, 2004
It has been conjectured that varieties of general type do not admit nowhere vanishing holomorphic one-forms. We confirm this conjecture for smooth minimal varieties and for varieties whose Albanese variety is simple.
arxiv  

Richardson varieties, projected Richardson varieties and positroid varieties

open access: yes, 2023
This is a survey article on Richardson varieties and their combinatorics. A Richardson variety is the intersection, inside the flag manifold GL_n/B_+, of a Schubert cell (B_- u B_+)/B_+ and an opposite Schubert cell (B_+ w B_+)/B_+ (or the similar intersection of Schubert varieties).
openaire   +2 more sources

Proofs of definability of some varieties and sets of varieties of semigroups [PDF]

open access: yesarXiv, 2010
We show that many important varieties and sets of varieties of semigroups may be defined by relatively simple and transparent first-order formulas in the lattice of all semigroup varieties.
arxiv  

Regular Hessenberg varieties for the minimal indecomposable Hessenberg space [PDF]

open access: yesarXiv
This paper investigates the geometry of regular Hessenberg varieties associated with the minimal indecomposable Hessenberg space in the flag variety of a complex reductive group. These varieties form a flat family of irreducible subvarieties of the flag variety, encompassing notable examples such as the Peterson variety and toric varieties linked to ...
arxiv  

Schubert varieties in twisted affine flag varieties and local models [PDF]

open access: yesarXiv, 2010
Our concern in this paper is the dimension and inclusion relations of Schubert varieties in twisted partial affine flag varieties. In the end we apply our results to some local models of certain Schubert varieties.
arxiv  

The Connectedness of Hessenberg Varieties [PDF]

open access: yesarXiv, 2013
In this paper we consider certain closed subvarieties of the flag variety, known as Hessenberg varieties. We give a connectedness criterion for semisimple Hessenberg varieties generalizing a criterion given by Anderson and Tymoczko. We show that nilpotent Hessenberg varieties are rationally connected.
arxiv  

Singularities of generalized Richardson varieties [PDF]

open access: yesarXiv, 2010
Richardson varieties play an important role in intersection theory and in the geometric interpretation of the Littlewood-Richardson Rule for flag varieties. We discuss three natural generalizations of Richardson varieties which we call projection varieties, intersection varieties, and rank varieties.
arxiv  

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