Zobrazeno 1 - 10
of 313
pro vyhledávání: '"32c35"'
Autor:
Soor, Arun
We develop a theory of derived rigid spaces and quasi-coherent sheaves and analytic crystals on them. Amongst other things, we obtain a six-functor formalism for these quasi-coherent sheaves and analytic crystals. We provide evidence that the categor
Externí odkaz:
http://arxiv.org/abs/2409.07592
The aim of the paper is to study the level sets of the solutions of Dirichlet problems for the Levi operator on strongly pseudoconvex domains $\Omega$ in $\mathbb C^2$. Such solutions are generically non smooth, and the geometric properties of their
Externí odkaz:
http://arxiv.org/abs/2409.05776
Autor:
Pal, Debjit
We introduce the notion of a generalized complex (GC) Stein manifold and provide complete characterizations in three fundamental aspects. First, we extend Cartan's Theorem A and B within the framework of GC geometry. Next, we define $L$-plurisubharmo
Externí odkaz:
http://arxiv.org/abs/2409.01912
The Kuranishi family of the Iwasawa manifold give rise naturally to a family of (deformed) double complexes. By using the structure theorem of double complexes due to Stelzig and Qi-Khovanov, we show there are exactly $3$ isomorphism types in this fa
Externí odkaz:
http://arxiv.org/abs/2407.02875
Autor:
Koike, Takayuki
Let $X$ be a non-singular compact complex surface such that the anticanonical line bundle admits a smooth Hermitian metric with semi-positive curvature. For a non-singular hypersurface $Y$ which defines an anticanonical divisor, we investigate the $\
Externí odkaz:
http://arxiv.org/abs/2308.03761
Autor:
Haus, Knut Bjarte, Quick, Gereon
We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significantly improves previous results on such transfer maps and is a much stron
Externí odkaz:
http://arxiv.org/abs/2303.15899
Autor:
Feklistov, Sergey
We use the Leray spectral sequence for the sheaf cohomology groups with compact supports to obtain a vanishing result. The stalks of sheaves $R^{\bullet}\phi_{!}\mathcal{O}$ for the structure sheaf $\mathcal{O}$ on the total space of a holomorphic fi
Externí odkaz:
http://arxiv.org/abs/2212.00114
Autor:
Pascoe, J. E.
Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general analytic propagation in complete normed fields. In turn, we develop gene
Externí odkaz:
http://arxiv.org/abs/2210.14903
Autor:
Haus, Knut Bjarte, Quick, Gereon
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficients. Using a refinement of the Pontryagin-Thom construction, we construc
Externí odkaz:
http://arxiv.org/abs/2210.13259
Autor:
Meng, Lingxu
Publikováno v:
Geom. Dedicata 217 (2023), no. 2, Paper No. 19
We use the Dolbeault cohomology to investigate the Koszul-Brylinski homology on holomorphic Poisson manifolds. We obtain the Leray-Hirsch theorem for Hochschild homology and the Mayer-Vietoris sequence, K\"{u}nneth theorem for holomorphic Koszul-Bryl
Externí odkaz:
http://arxiv.org/abs/2204.02600