All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 20 of 20

Showing per page

Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry

Laurent Bruasse, Andrei Teleman (2005)

Annales de l’institut Fourier

We give here a generalization of the theory of optimal destabilizing 1-parameter subgroups to non algebraic complex geometry : we consider holomorphic actions of a complex reductive Lie group on a finite dimensional (possibly non compact) Kähler manifold. In a second part we show how these results may extend in the gauge theoretical framework and we discuss the relation between the Harder-Narasimhan filtration and the optimal detstabilizing vectors of a non semistable object....

Hilbert schemes and stable pairs: GIT and derived category wall crossings

Jacopo Stoppa, Richard P. Thomas (2011)

Bulletin de la Société Mathématique de France

We show that the Hilbert scheme of curves and Le Potier’s moduli space of stable pairs with one dimensional support have a common GIT construction. The two spaces correspond to chambers on either side of a wall in the space of GIT linearisations. We explain why this is not enough to prove the “DT/PT wall crossing conjecture” relating the invariants derived from these moduli spaces when the underlying variety is a 3-fold. We then give a gentle introduction to a small part of Joyce’s theory for such...

Homogeneous polynomials with isomorphic Milnor algebras

Imran Ahmed (2010)

Czechoslovak Mathematical Journal

We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.

Hyperdéterminant d’un S L 2 -homomorphisme

Jean Vallès (2008)

Annales mathématiques Blaise Pascal

Etant donnés A 1 , ⋯ , A s ( s ≥ 3 ) des S L 2 ( ℂ ) -modules non triviaux de dimensions respectives n 1 + 1 ≥ ⋯ ≥ n s + 1 (avec n 1 = n 2 + ⋯ + n s ) et φ ∈ ℒ ( A 2 ⊗ ⋯ ⊗ A s , A 1 * ) un S L 2 ( ℂ ) -homomorphisme, nous montrons que l’hyperdéterminant de φ est nul sauf si les modules A i sont irréductibles et si l’homomorphisme est la multiplication des polynômes homogènes à deux variables.

Currently displaying 1 – 20 of 20

Page 1