Dolbeault cohomology of complex torus
WebThe study of the Dolbeault cohomology of complex nilmanifolds is motivated by the fact that nilmanifolds provide examples of symplectic manifolds with no Kähler structure. … WebDOLBEAULT COHOMOLOGY OF COMPLEX MANIFOLDS WITH TORUS ACTION ROMAN KRUTOWSKI AND TARAS PANOV Abstract. We describe the basic Dolbeault …
Dolbeault cohomology of complex torus
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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 … WebJan 26, 2024 · $\begingroup$ @abx compact torus of complex dimension 1 $\endgroup$ – Grisha Taroyan. Jan 26, 2024 at 17:09 ... {s-q,q}(\mathbf T)\otimes_{\mathbf C}\Omega^{p+q-s}(\mathbf C) $$ and comprises Dolbeault cohomology of the compact complex torus $\mathbf T$ with values in the infinite-dimensional complex vector …
WebMar 6, 2024 · Dolbeault's theorem is a complex analog of de Rham's theorem. It asserts that the Dolbeault cohomology is isomorphic to the sheaf cohomology of the sheaf of … WebAbstract. A nilmanifold is a quotient of a nilpotent group G by a co-compact discrete subgroup. A complex nilmanifold is one which is equipped with a G-invariant complex structure
WebRoman Krutowski and Taras Panov – Dolbeault cohomology of complex manifolds with torus action Eunjeong Lee, Mikiya Masuda, Seonjeong Park and Jongbaek Song – Poincaré polynomials of generic torus orbit closures in Schubert varieties Ivan Limonchenko and Dmitry Millionshchikov – Higher order Massey products and applications Webversion of Dolbeault cohomology, and representations of π 1 as being a version of Betti cohomology). For example, in the 1-dimensional case, the moduli of degree zero line bundles on X is called the Jacobian of X. It is a complex torus of dimension g = genus(X). On the other hand, π 1(X) is generated by 2g loops, subject to some relation ...
Webclasses of complex tori are naturally in bijection with some other Riemann surface known as the modular curve. Of course since we are really interested in arithmetic, we need …
WebA Dolbeault–Hilbert complex for a variety with isolated singular points John Lott Given a compact Hermitian complex space with isolated singular points, we con-struct a … psychiatrist east londonWebAbstract. We describe the basic Dolbeault cohomology algebra of the canonical foliation on a class of complex manifolds with a torus symme-try group. This class includes complex moment-angle manifolds, LVM-and LVMB-manifolds and, in most generality, complex manifolds with a maximal holomorphic torus action. We also provide a dga … psychiatrist east london south africaWebtorus. 3 Cohomology of complex tori Proposition 2.2 tells us that complex tori are very concrete objects to work with. Now, a natural question to ask is how the invariants of … psychiatrist easley scWebFeb 17, 2024 · As applications, we obtain various refinements of the homotopy groups, sensitive to the complex structure. Under a simple connectedness assumption, one obtains minimal models which are unique up... hoshimoto muscle flairWebAug 18, 2024 · Abstract: We describe the basic Dolbealut cohomology algebra of the canonical foliation on a class of complex manifolds with a torus symmetry group. This … hoshimati or hoshimachiWebWe show that ifM is the total space of a holomorphic bundle with base space a simply connected homogeneous projective variety and fibre and structure group a compact … psychiatrist earningsWebMay 23, 2010 · After calculating the differential, my answer is that this decomposes as a dot at each corner, a zigzag of length 3 next to each each corner, and a progression of squares. Modulo the conjecture that all zigzags are invariant, this is a complete description of the Dolbeault complex. hoshimoto thyroid-pediatric