Displaying similar documents to “Decomposition numbers for perverse sheaves”

Whittaker and Bessel functors for G 𝕊 p 4

Sergey Lysenko (2006)

Annales de l’institut Fourier

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The theory of Whittaker functors for G L n is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence. We define Whittaker functors for G 𝕊 p 4 and study their properties. These functors correspond to the maximal parabolic subgroup of G 𝕊 p 4 , whose unipotent radical is not commutative. We also study similar functors corresponding to the Siegel parabolic subgroup of G 𝕊 p 4 , they are related with Bessel models for G 𝕊 p 4 and...

Cluster characters for 2-Calabi–Yau triangulated categories

Yann Palu (2008)

Annales de l’institut Fourier

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Starting from an arbitrary cluster-tilting object T in a 2-Calabi–Yau triangulated category over an algebraically closed field, as in the setting of Keller and Reiten, we define, for each object L , a fraction X ( T , L ) using a formula proposed by Caldero and Keller. We show that the map taking L to X ( T , L ) is a cluster character, i.e. that it satisfies a certain multiplication formula. We deduce that it induces a bijection, in the finite and the acyclic case, between the indecomposable rigid objects...

Albanese varieties with modulus and Hodge theory

Kazuya Kato, Henrik Russell (2012)

Annales de l’institut Fourier

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Let X be a proper smooth variety over a field k of characteristic 0 and Y an effective divisor on X with multiplicity. We introduce a generalized Albanese variety Alb ( X , Y ) of X of modulus Y , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For k = ℂ we give a Hodge theoretic description.

Anticyclotomic Iwasawa theory of CM elliptic curves

Adebisi Agboola, Benjamin Howard (2006)

Annales de l’institut Fourier

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We study the Iwasawa theory of a CM elliptic curve E in the anticyclotomic Z p -extension of the CM field, where p is a prime of good, ordinary reduction for E . When the complex L -function of E vanishes to even order, Rubin’s proof of the two variable main conjecture of Iwasawa theory implies that the Pontryagin dual of the p -power Selmer group over the anticyclotomic extension is a torsion Iwasawa module. When the order of vanishing is odd, work of Greenberg show that it is not a torsion...