quantisation/ Serre dualitypolarised symplectic manifoldscomplex line bundleflat connectioncohomologydual spacedistributional L*-valued half formsKostant polarisationC infinity L valued half forms / A0240 Geometry, differential geometry, and topology A0370 Theory of quantized fields...
Winterthurerstrasse 190, 8057 Zurich, Switzerland Abstract Using the exceptional inverse image functor for quasi-finite proper morphisms of separated tame Deligne–Mumford stacks of finite type over a field k, Serre duality is obtained in varying degrees of generality for tame Deligne–Mumford stacks...
d_bar equation Serre duality Stein manifold 1. Introduction Let φ be a C2 strictly sub harmonic function in the complex plane C, i.e. with Δ the Laplacian, Δφ>0 in C. Let A2(C,e−2φ) be the space of all holomorphic functions g in C such that‖g‖L2(C,e−2φ):=∫C...
事实上对偶定理和留数理论已经由 Grothendieck 推广到了任意本征态射的情形 , 可以参考《Grothendieck . The cohomology theoty of abstract algebraic varieties》和《Hartshorne . Residues and Duality》 . Deligne 给出了一个对偶化层存在性的另一个证明 , 而 Verdier 则指出对于非异簇的情形对偶化层 ωX∘ ...
(i) 对每个-模有; (ii) 如果, 那么, 其中是中的极大理想 . 证明:参考《Mastumura . Commutative Algebra》的第131页的定理42 . Serre 对偶定理(下) 我们已经在上一篇文章《从经典代数几何到现代代数几何——层与概形的上同调理论...
Quantum Serre duality refers to a relationship between the genus-zero Gromov–Witten invariants of Z and those of the dual vector bundle \(E^\vee \). In this paper we investigate this correspondence in the context of quasimap invariants. 1.1 History Quantum Serre duality was first described ...
In this paper, we classify the hereditary uniserial categories with Serre duality. They fall into two types: the first type is given by the representations of the quiver A n with linear orientation (and infinite variants thereof), the second type by tubes (and an infinite variant). These ...
For an additive category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant objects. We prove that under certain conditions, the equivarianzation of an additive category with a periodic Serre duality still has a periodic Serre ...
In the paper, a description of the Grothendieck–Serre duality on an arithmetic surface by means of fixing a horizontal divisor is given and this description is applied to the generalization of theta-invariants. This is a preview of subscription content, log in via an institution to check access...