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Showing 1 to 19 of 19 for “"Coherent Sheaves"”.
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Derived categories of coherent sheaves on rational homogeneous manifolds
… the bounded derived category of coherent sheaves on $\mathbb{P}^n$. In a series of papers M. M. Kapranov generalized this result to flag manifolds of type $A_n$ and quadrics. In another direction, Y. Kawamata has recently proven existence of complete exceptional sequences on toric …
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Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras
… its periodic module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), the second is by certain classes on bimodules over polynomial rings, called Soergel bimodules, and the third is by certain categories of constructible sheaves on the affine flag …
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Coherent sheaves on varieties arising in Springer theory, and category 0
… and construct an example using categories of coherent sheaves on Springer fibers. Here we construct another example, by studying certain sub-quotients of category 0 with a fixed Gelfand-Kirillov dimension. We use the braid group action on the derived category of category 0, and certain leading …
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Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
Let G be a connected complex reductive Lie group. We propose a certain bijection between the set of dominant integral weights of G, and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive …
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Connections on conformal blocks
… Hecke functors on the category of quasi-coherent sheaves on Bung. This family of functors, parametrized by the Ran space of X, acts by averaging a quasi-coherent sheaf over infinitesimal modifications of G-bundles at prescribed points of X. We show that sheaves which are, in a certain …
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Determinant, Wall Monodromy and Spherical Functor
… decomposition of the derived category of coherent sheaves of Z, hence decompose the EZ-spherical functor into a sequence of its subfunctors. We also show that the intersection multiplicity of the discriminant and the exponent of the discriminant in the determinant both have their …
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Computing the Lusztig-Vogan bijection
… the bounded derived category of G-equivariant coherent sheaves on the nilpotent cone 11 of g. One basis is indexed by ..., the set of dominant weights of G, and the other by [Omega], the set of pairs ... consisting of a nilpotent orbit ... and an irreducible G-equivariant vector bundle ... The …
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Tilting sheaves for real groups and Koszul duality
… on the category of equivariant-monodromic sheaves and develop the theory of tilting sheaves. In case of a quasi-split real form of an algebraic group acting on the flag variety we construct an analog of a Soergel functor, which fully-faithfully embeds the subcategory of tilting objects to …
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A Coherent Categorification of the Asymptotic Affine Hecke Algebra
… affine Hecke algebra H in terms of equivariant coherent sheaves on the Steinberg variety. Recently, Ben-Zvi–Chen–Helm–Nadler have applied the formalism of categorical traces to construct a "coherent Springer sheaf" on a moduli stack of Deligne–Langlands parameters whose endomorphism algebra …
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On motivic Donaldson-Thomas invariants on the local projective plane
… of an orientation data for the stack of coherent sheaves on ωP2. In the second project, we construct a d-critical locus structure on Hilbn(ωP2), which is useful for recovering the computation of the motivic DT invariant associated to Hilbn(ωP2). Finally, we give some explicit computations …
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Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
… a certain t-structure on the derived category of coherent sheaves on certain Springer Fiber. Meanwhile, a certain category of representation of Kac-Moody Lie algebra at critical level with (some) fixed central character is also equivalent to a core of certain t-structure on the same triangulated …
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Geometric Langlands in prime characteristic
… the derived category D(QCoh(LocSys~v)) of quasi-coherent sheaves on some open subset LocSysov C LocSysGv and derived category D(DOunG mod) of modules over some localization DBunG of DBunG. This generalizes the work of Bezrukavnikov-Braverman in the GL, case.
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Free resolutions, combinatorics, and geometry
… the second is the cone of cohomology tables of coherent sheaves over projective space. Each cone has a triangulation induced from a certain partial order. Our first result gives a module-theoretic interpretation of this poset structure. The study of the cone of cohomology tables over an …
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Limits of stability conditions and their geometry
… categories (e.g. derived categories of coherent sheaves on a variety) and that conversely for a smooth and proper dg-category all polarized semiorthogonal decompositions arise in this fashion. In the second paper, I study the geometry of certain moduli spaces of genus 0 curves with …
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Excess Porteous, Coherent Porteous, and the Hyperelliptic Locus in M3
… to define the degeneracy class of a map between coherent sheaves, and gives explicit means for computing this class. Diaz uses his technique to partially extend the above mentioned computation, but he points out that in order to complete the computation one must combine his techniques with an …
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Tamely ramified geometric Langlands correspondence in positive characteristic
… derived category D^b(QCoh(Loc^0(n,P))) of quasi-coherent sheaves on an open substack Loc^0(n, P) of Loc(n,P), and the bounded derived category D^b(D^0Bun(n,P)-mod) of D^0Bun(n,P)-modules, where D^0Bun(n,P) is a localization of DBun(n,P) the sheaf of crystalline differential operators on Bun(n,P). …
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Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences
… objects, namely Stein fillings, divisors and coherent sheaves, respectively. Using pseudoholomorphic curve techniques and Gauge theoretic results, we system- atically study obstructions to symplectic/Stein fillings of contact 3-manifolds arising from the rigidity of closed symplectic …
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WEIGHT STRUCTURES AND MOTIVIC COMPARISONS OF P-ADIC COHOMOLOGY THEORIES FOR RIGID ANALYTIC SPACES
… G_{\breve{Q}_p}-equivariant solid quasi-coherent sheaves on the Fargues--Fontaine curve; in this equivariant setting, the comparison equivalence becomes canonical. In addition, we show that the Fargues--Fontaine cohomology defined via the d\'{e}calage functor is also motivic and agrees …
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Shifted symplectic structures and derived moduli spaces
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms