Results 21 to 30 of about 383 (42)
Forum of Mathematics, SigmaIn our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno +2 more
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The equivariant cohomology rings of Peterson varieties in all Lie types
, 2014 Let G be a complex semisimple linear algebraic group and let Pet be the associated Peterson variety in the flag variety G/B. The main theorem of this note gives an efficient presentation of the equivariant cohomology ring H^*_S(Pet) of the Peterson ...
Harada, Megumi +2 more
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Enumeration of surfaces containing an elliptic quartic curve [PDF]
, 2014 A very general surface of degree at least four in projective space of dimension three contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces of degree at least five which contain some elliptic
Cukierman, Fernando +2 more
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Bondi Accretion in the Spherically Symmetric Johannsen-Psaltis Spacetime
, 2019 The Johannsen-Psaltis spacetime explicitly violates the no hair theorem. It describes rotating black holes with scalar hair in the form of parametric deviations from the Kerr metric.
John, Anslyn, Stevens, Chris
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Correspondences between projective planes [PDF]
, 2014 We characterize integral homology classes of the product of two projective planes which are representable by a subvariety.Comment: Improved readability, 14 ...
Huh, June
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Cohomological consequences of the pattern map [PDF]
, 2014 Billey and Braden defined maps on flag manifolds that are the geometric counterpart of permutation patterns. A section of their pattern map is an embedding of the flag manifold of a Levi subgroup into the full flag manifold.
Adeyemo, Praise, Sottile, Frank
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Solving Schubert Problems with Littlewood-Richardson Homotopies
, 2010 We present a new numerical homotopy continuation algorithm for finding all solutions to Schubert problems on Grassmannians. This Littlewood-Richardson homotopy is based on Vakil's geometric proof of the Littlewood-Richardson rule. Its start solutions are
Sottile, Frank +2 more
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Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups
, 2008 For the coinvariant rings of finite Coxeter groups of types other than H$_4$, we show that a homogeneous element of degree one is a strong Lefschetz element if and only if it is not fixed by any reflections.
A Borel +12 more
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Some examples of forms of high rank
, 2015 We describe some forms with greater Waring rank than previous examples. In $3$ variables we give forms of odd degree with strictly greater rank than the ranks of monomials, the previously highest known rank.
Buczyński, Jarosław, Teitler, Zach
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Grassmann defectivity \`a la Terracini
, 2001 This work is a modern revisitation of a classical paper by Alessandro Terracini, going back to 1915, which suggests an elementary but powerful method for studing Grassmann defective varieties.
Dionisi, Carla, Fontanari, Claudio
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