Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches.
Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content.
Contact firstname.lastname@example.org with any questions.
The advance publication content published here for the Kyoto Journal of Mathematics is in its final form; it has been reviewed, corrected, edited, typeset, and assigned a permanent digital object identifier (DOI). The article's pagination will be updated when the article is assigned to a volume and issue.
Advance publication content can be cited using the date of online publication and the DOI.
VIEW ALL ABSTRACTS+
This will count as one of your downloads.
You will have access to both the presentation and article (if available).
Let . Consider over its maximal domain in . Under certain conditions on the weight w, the coefficient matrix A, and the positive Radon measure μ, we characterize the Hardy space and BMO space associated with L using square functions. Other results include and as norm spaces, where denotes the maximal Hardy space associated with L.
We give a new proof of the following theorem: moduli spaces of stable complexes on a complex projective K3 surface, with primitive Mukai vector and with respect to a generic Bridgeland stability condition, are hyper-Kähler varieties of -type of expected dimension. We use derived equivalences, deformations, and wall-crossing for Bridgeland stability to reduce to the case of the Hilbert scheme of points.
We study the equivalence between the infinitesimal Torelli theorem for smooth hypersurfaces in rational homogeneous varieties with Picard number 1 and the theory of generalized Massey products. This equivalence shows that the differential of the period map vanishes on an infinitesimal deformation if and only if certain twisted differential forms are elements of the Jacobian ideal of the hypersurface. We also prove an infinitesimal Torelli theorem result for smooth hypersurfaces in log parallelizable varieties.
We introduce a conjecture on homological mirror symmetry relating the symplectic topology of the complement of a smooth ample divisor in a K3 surface to the algebraic geometry of type III degenerations. We prove it when the degree of the divisor is either 2 or 4.
We study n-dimensional totally real minimal submanifolds M immersed in complex space forms for . We prove that M is totally geodesic if the -norm of the second fundamental form is finite for some . We also derive vanishing results for the space of harmonic forms on such submanifolds.
PURCHASE SINGLE ARTICLE
This article is only available to subscribers. It is not available for individual sale.