Webto 0) as an evaluation of cohomology classes over the reduced space at 0. This formula exhibits the dependence of the Riemann-Roch number on Λ. We also express the for-mula as a sum over the components of the fixed point set of the maximal torus. Our proof applies to Hamiltonian G-manifolds even if they do not have a compatible K¨ahler WebMar 5, 2012 · Complex tori that are algebraic varieties are called Abelian varieties (cf. Abelian variety). A complex torus $\C^n/\G$ is an Abelian variety if and only there exists …
Dolbeault cohomology of complex manifolds with torus …
WebProbably the easiest way is to represent H^1 (\O) as a Dolbeault cohomology group and think of an element of H^1 (\O) as a \dbar closed form \theta of type (01) up to the \dbar image of a... WebWe prove a Bochner type vanishing theorem for compact complex manifolds in Fujiki class , with vanishing first Chern class, that admit a cohomology class which is numerically effective (nef) and has positive self-int… subway plymouth wi
Abstract. Λ g arXiv:math/0403004v2 [math.SG] 16 Jul 2004
WebOct 21, 2014 · 3 Class VII surfaces. In this section, we compute Bott-Chern cohomology for compact complex surfaces in class \text {VII}. Let X be a compact complex surface. By Theorem 1.1, the natural map H^ {2,1}_ {BC} (X) \rightarrow H^ {2,1}_ {\overline {\partial }} (X) is always injective. Consider now the case when X is in class \text {VII}. WebJan 30, 2024 · We study the existence of non-trivial Abelian J-invariant ideals \({\mathfrak f}\) in nilpotent Lie algebras \({\mathfrak g}\) endowed with a complex structure J.This condition appears as one of the hypotheses in a recent theorem by A. Fino, S. Rollenske and J. Ruppenthal on the Dolbeault cohomology of complex nilmanifolds. WebNilmanifolds with left-invariant complex structure 6 1.3. Dolbeault cohomology of nilmanifolds and small deformations 11 1.4. Examples and Counterexamples 12 2. Albanese-Quotients and deformations in the large 15 ... complex torus is again a complex torus has been fully proved only in 2002 by Catanese [Cat02]. In [Cat04] he studies … paint house siding