$COHOM cohomology

Latest papers

1. On the hyperplane conjecture math.AG · 19 Oct · 1 hit

   …with ambient insertions) of \(X\) and the \(B\) model (period integrals corresponding to vanishing cohomology) of \(X^{\vee}\) for Batyrev's mirror pair of Calabi--Yau hypersurfaces. As an application of our…

2. MONODROMY AND BIG QUANTUM COHOMOLOGY OF HYPERPLANE SECTIONS OF (CO)ADJOINT VARIETIES math.AG · 19 Oct · 3 hits

   …of (co)adjoint varieties. We apply this result to reduce the generic semisemplicity of the big quantum cohomology to its ambient part, and to prove that the big quantum cohomology of general hyperplane sections…

3. Twisted logarithmic de Rham complexes and the rational hit conjecture math.RT · 19 Oct · 2 hits

   We study the top degree concentration property for the cohomology of twisted logarithmic de Rham complexes of multiarrangements of hyperplanes. Our main tool is a…

4. Higher-Dimensional Test of the Holographic Dual of Entanglement Cohomology hep-th · 19 Oct · 5 hits

   We extend the holographic test of entanglement cohomology from $d=2$ to higher-dimensional conformal field theories. For a $d$-dimensional CFT with a…

5. Cohomological Milnor Fibrations of Landau--Ginzburg Models math.AG · 19 Oct · 1 hit

   …for deformations satisfying a uniform tameness condition on a Stein manifold, we construct the relative cohomology bundles at positive and negative infinity, each equipped with a natural flat Gauss--Manin…

6. Classification of all non-split central extensions of naturally graded 2-filiform non-Lie Leibniz algebras math.RA · 19 Oct · 1 hit

   …to the description of the orbits of the automorphism group of the algebra on the subspaces of its second cohomology space with trivial coefficients. For each algebra and each dimension we give the complete list of…

7. A Fourier expansion principle for coherent cohomology of powers of Tate curves math.NT · 19 Oct · 2 hits

   …this article proves a Fourier expansion principle that applies to higher coherent (equivariant) cohomology classes of rigidified line bundles on the $\mathbf{Z}((q^{1/w}))$-fiber. We do not require any…

8. On the arithmetic rank and cohomological dimension of some residual intersections math.AC · 19 Oct · 2 hits

   …yield several structural results: in characteristic zero, we compute the $D$-module length of the top local cohomology module supported at this ideal and show that over the integers, it admits a $\mathbb{Q}$-vector…