Results 141 to 150 of about 36,312 (298)
Singularities of Affine Schubert Varieties
Symmetry, Integrability and Geometry: Methods and Applications, 2009 This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type A_l^{(1)}). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent ...
Jochen Kuttler, Venkatramani Lakshmibai
doaj +1 more source
Journal of High Energy Physics, 2017 In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 $$ \mathcal{N}=4 $$ SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral ...
L. V. Bork, A. I. Onishchenko
doaj +1 more source
Laurent expansions of meromorphic modular forms
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract In this paper, we study the Laurent coefficients of meromorphic modular forms at complex multiplication points by giving two approaches of computing them. The first is a generalization of the method of Rodriguez‐Villegas and Zagier, which expresses the Laurent coefficients as constant terms of a family of polynomials obtained through recursion.
Gabriele Bogo +2 more
wiley +1 more source
Grassmannians of classical buildings [PDF]
arXiv, 2008 This book is dedicated to Grassmannians associated with buildings of classical types: usual, polar, and half-spin Grassmannians. Grassmannians of vector spaces and Grassmannians consisting of totally isotropic subspaces of non-degenerate alternating, Hermitian, and symmetric forms are special cases of these "building" Grassmannians.
arxiv
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
wiley +1 more source
Journal of High Energy Physics, 2017 In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 $$ \mathcal{N}=4 $$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions.
L.V. Bork, A.I. Onishchenko
doaj +1 more source
Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian [PDF]
arXiv, 2008 The Drinfel'd Lagrangian Grassmannian compactifies the space of algebraic maps of fixed degree from the projective line into the Lagrangian Grassmannian. It has a natural projective embedding arising from the canonical embedding of the Lagrangian Grassmannian.
arxiv
Enumerative Encoding in the Grassmannian Space [PDF]
arXiv, 2009 Codes in the Grassmannian space have found recently application in network coding. Representation of $k$-dimensional subspaces of $\F_q^n$ has generally an essential role in solving coding problems in the Grassmannian, and in particular in encoding subspaces of the Grassmannian.
arxiv
Geometric Properties of Grassmannian Frames for
EURASIP Journal on Advances in Signal Processing, 2006 Grassmannian frames are frames satisfying a min-max correlation criterion. We translate a geometrically intuitive approach for two- and three-dimensional Euclidean space ( and ) into a new analytic method which is used to classify many Grassmannian ...
Benedetto John J, Kolesar Joseph D
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On natural maps from strata of quiver Grassmannians to ordinary Grassmannians [PDF]
Contemporary Mathematics, volume 592, 2013, 199--214, 2012 Caldero and Zelevinsky studied the geometry of quiver Grassmannians for the Kronecker quiver and computed their Euler characteristics by examining natural stratification of quiver Grassmannians. We consider generalized Kronecker quivers and compute virtual Poincare polynomials of certain varieties which are the images under projections from strata of ...
arxiv