Results 101 to 110 of about 445,079 (174)
ON SOME STRUCTURAL VARIETIES OF THE ENLARGED PROSTATE RELATIVE TO ITS TREATMENT. [PDF]
Reginald Harrison
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Classification of two-orbit varieties [PDF]
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]
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
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).
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Proofs of definability of some varieties and sets of varieties of semigroups [PDF]
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]
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]
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
I. Notes on the varieties and morphology of the human lachrymal bone and its accessory ossicles [PDF]
Alexander Macalister
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The Connectedness of Hessenberg Varieties [PDF]
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]
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