Results 11 to 20 of about 9,522,372 (210)
Is Every Toric Variety an M-variety? [PDF]
manuscripta mathematica, 2006 A complex algebraic variety X defined over the real numbers is called an M-variety if the sum of its Betti numbers (for homology with closed supports and coefficients in Z/2) coincides with the corresponding sum for the real part of X. It has been known for a long time that any nonsingular complete toric variety is an M-variety.
Bihan, Frederic +3 more
openaire +8 more sources
Experimental Mathematics, 2017 In this paper we will prove that the six-dimensional Göpel variety in $P^{134}$ is generated by 120 linear, 35 cubic and 35 quartic relations. This result was already obtained in [RS] , but the authors used a statement in [Co] saying that the Göpel variety set theoretically is generated by the linear and cubic relations alone.
Freitag, Eberhard +1 more
openaire +5 more sources
Journal of Economic Dynamics and Control, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavlov, O., Weder, M.
openaire +5 more sources
Annales Henri Poincaré, 2021 AbstractWe consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra.
Richard Eager +2 more
openaire +2 more sources
Secant varieties of Grassmann varieties [PDF]
Proceedings of the American Mathematical Society, 2004 In this paper we discuss the dimensions of the (higher) secant varieties to the Grassmann varieties, embedded via the Plucker embeddings. We use Terracini's Lemma and the duality in the exterior algebra of a finite dimensional vector space to translate the problem into that of finding the dimension of a graded piece of a " fat" ideal in the exterior ...
GIMIGLIANO, ALESSANDRO +2 more
openaire +5 more sources
Bulletin of the London Mathematical Society, 2008 Algebraic varieties which are locally isomorphic to open subsets of affine space will be called {\em plain}. Plain varieties are smooth and rational. The converse is true for curves and surfaces, and unknown in general. It is shown that plain varieties are stable under blowup in smooth centers.
Bodnar, Gabor +3 more
openaire +3 more sources
Transactions of the American Mathematical Society, 1992 Numerical algorithms involving Hessenberg matrices correspond to dynamical systems which evolve on the subvariety of complete flags S 1 ⊂ S 2 ⊂ ⋯ ⊂ S n −
DE MARI CASARETO DAL VERME, FILIPPO +2 more
openaire +2 more sources
Diptych varieties. II: Apolar varieties
Advanced Studies in Pure Mathematics, 2018 24 pages. A tribute to Yujiro Kawamata, to appear in his sixtieth birthday conference proceedings, ASPM 2015. The webpage at http://homepages.warwick.ac.uk/staff/G.Brown/diptych.html contains links to auxiliary material. (First update adds more detail to calculations of polars and includes a new key variety to handle small cases all together.
Brown, Gavin, Reid, Miles
openaire +3 more sources
, 2010 The totality Lie(V) of all Lie algebra structures on a vector space V over a field F is an algebraic variety over F on which the group GL(V) acts naturally.
Moreno, G.
core +1 more source
Proceedings of the London Mathematical Society, 2016 Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties and their moment maps. Among them are varieties of inverses of symmetric matrices satisfying linear constraints. This class includes Gaussian graphical models.
Michałek, Mateusz +3 more
openaire +4 more sources