Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Teh Jyh-Haur"'
Autor:
Teh, Jyh-Haur, Yang, Chin-Jui
We propose a version of the Hodge conjecture in Bott-Chern cohomology and using results from characterizing real holomorphic chains by real rectifiable currents to provide a proof for this question. We define a Bott-Chern differential cohomology and
Externí odkaz:
http://arxiv.org/abs/1910.01780
Autor:
Teh, Jyh-Haur, Yang, Chin-Jui
We show that a $2k$-current $T$ on a complex manifold is a real holomorphic $k$-chain if and only if $T$ is locally real rectifiable, $d$-closed and has $\mathcal{H}^{2k}$-locally finite support. This result is applied to study homology classes repre
Externí odkaz:
http://arxiv.org/abs/1901.04152
Autor:
Teh, Jyh-Haur, Yang, Chin-Jui
We study some fundamental properties of real rectifiable currents and give a generalization of King's theorem in characterizing currents defined by positive real holomorphic chains. Our proof uses Siu's semicontinuity theorem and largely simplifies K
Externí odkaz:
http://arxiv.org/abs/1810.00355
Autor:
Teh Jyh-Haur, Yang Chin-Jui
Publikováno v:
Complex Manifolds, Vol 8, Iss 1, Pp 274-285 (2021)
We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof large
Externí odkaz:
https://doaj.org/article/91655e6b896f4f40b0af1c86adfb7cd7
For a double complex $(A, d', d'')$, we show that if it satisfies the $d'd''$-lemma and the spectral sequence $\{E^{p, q}_r\}$ induced by $A$ does not degenerate at $E_0$, then it degenerates at $E_1$. We apply this result to prove the degeneration a
Externí odkaz:
http://arxiv.org/abs/1506.06451
Autor:
Teh, Jyh-Haur
By comparing Deligne complex and Aeppli-Bott-Chern complex, we construct a differential cohomology $\widehat{H}^*(X, *, *)$ that plays the role of Harvey-Lawson spark group $\widehat{H}^*(X, *)$, and a cohomology $H^*_{ABC}(X; \Z(*, *))$ that plays t
Externí odkaz:
http://arxiv.org/abs/1411.0492
Autor:
Teh Jyh-Haur, Yang Chin-Jui
Publikováno v:
Complex Manifolds, Vol 7, Iss 1, Pp 93-105 (2020)
We show that a 2k-current T on a complex manifold is a real holomorphic k-chain if and only if T is locally real rectifiable, d-closed and has ℋ2k-locally finite support. This result is applied to study homology classes represented by algebraic cyc
Externí odkaz:
https://doaj.org/article/eeb09b5cedc04205b30b2116620532fe
We define Aeppli and Bott-Chern cohomology for bi-generalized complex manifolds and show that they are finite dimensional for compact bi-generalized Hermitian manifolds. For totally bounded double complexes $(A, d', d'')$, we show that the validity o
Externí odkaz:
http://arxiv.org/abs/1311.4667
Autor:
Liao, Hsuan-Yi, Teh, Jyh-Haur
We enhance the analogy between field extensions and covering spaces by introducing the concept of splitting covering which correspondences to the splitting field in Galois theory. We define semi-topological Galois groups for Weierstrass polynomials a
Externí odkaz:
http://arxiv.org/abs/1006.1166
Autor:
Teh, Jyh-Haur
We reformulate the construction of Kontsevich's completion and use Lawson homology to define many new motivic invariants. We show that the dimensions of subspaces generated by algebraic cycles of the cohomology groups of two $K$-equivalent varieties
Externí odkaz:
http://arxiv.org/abs/math/0610672