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Witten's perturbation on strata
Morse inequalities ideal boundary condition Thom-Mather stratification Witten’s perturbation
2012/5/24
The main result is a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata of compact Thom-Mather stratifications, endowed with adapted m...
Birkhoff strata of the Grassmannian Gr$\mathrm{^{(2)}}$: Algebraic curves
Birkhoff strata the Grassmannian
2010/11/23
Algebraic varieties and curves arising in Birkhoff strata of the Sato Grassmannian Gr${^{(2)}}$ are studied. It is shown that the big cell $\Sigma_0$ contains the tower of families of the normal rati...
Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
Ekedahl-Oort Newton strata PEL type
2010/11/19
We study the Ekedahl-Oort stratification for good reductions of Shimura varieties of PEL type. These generalize the Ekedahl-Oort strata defined and studied by Oort for the moduli space of principally...
Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials
Jenkins-Strebel Abelian and quadratic differentials
2010/11/9
Moduli spaces of Abelian and quadratic differentials are stratified by multiplicities of zeroes; connected components of the strata correspond to ergodic components of the Teichmuller geodesic flow. ...
Enumeration of $\C{H}$-strata in quantum matrices with respect to dimension
$\C{H}$-strata in quantum matrices dimension
2010/12/6
We present a combinatorial method to determine the dimension of H-strata in the algebra of m n quantum matrices Oq(Mm;n(K)) as follows. To a given H-stratum we associate a certain permutation via th...
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
Hilbert schemes of points locally planar curve Severi strata of its versal deformation
2010/11/30
Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central
point are determ...
Primitive ideals in quantum Schubert cells: dimension of the strata
quantum Schubert cells: dimension strata s
2010/12/1
The aim of this paper is to study the representation theory of quantum Schu-bert cells. Let g be a simple complex Lie algebra. To each element w of the Weyl group W of g, De Concini, Kac and Procesi h...