Recursos de colección
Project Euclid (Hosted at Cornell University Library) (198.174 recursos)
Tohoku Mathematical Journal
Tohoku Mathematical Journal
Oh, Tadahiro; Pocovnicu, Oana
In this note, we prove almost sure global well-posedness of the energy-critical
defocusing nonlinear wave equation on $\mathbb{T}^d$, $d = 3, 4,$ and $5$, with
random initial data below the energy space.
Oh, Tadahiro; Pocovnicu, Oana
In this note, we prove almost sure global well-posedness of the energy-critical
defocusing nonlinear wave equation on $\mathbb{T}^d$, $d = 3, 4,$ and $5$, with
random initial data below the energy space.
Furukawa, Katsuhisa; Ito, Atsushi
We investigate Gauss maps of (not necessarily normal) projective toric varieties
over an algebraically closed field of arbitrary characteristic. The main results
are as follows: (1) The structure of the Gauss map of a toric variety is
described in terms of combinatorics in any characteristic. (2) We give a
developability criterion in the toric case. In particular, we show that any
toric variety whose Gauss map is degenerate must be the join of some toric
varieties in characteristic zero. (3) As applications, we provide two
constructions of toric varieties whose Gauss maps have some given data (e.g.,
fibers, images) in positive characteristic.
Furukawa, Katsuhisa; Ito, Atsushi
We investigate Gauss maps of (not necessarily normal) projective toric varieties
over an algebraically closed field of arbitrary characteristic. The main results
are as follows: (1) The structure of the Gauss map of a toric variety is
described in terms of combinatorics in any characteristic. (2) We give a
developability criterion in the toric case. In particular, we show that any
toric variety whose Gauss map is degenerate must be the join of some toric
varieties in characteristic zero. (3) As applications, we provide two
constructions of toric varieties whose Gauss maps have some given data (e.g.,
fibers, images) in positive characteristic.
Tomari, Masataka; Tomaru, Tadashi
The maximal ideal cycles and the fundamental cycles are defined on the
exceptional sets of resolution spaces of normal complex surface singularities.
The former (resp. later) is determined by the analytic (resp. topological)
structure of the singularities. We study such cycles for normal surface
singularities with ${\Bbb C}^*$-action. Assuming the existence of a reduced
homogeneous function of the minimal degree, we prove that these two cycles
coincide if the coefficients on the central curve of the exceptional set of the
minimal good resolution coincide.
Tomari, Masataka; Tomaru, Tadashi
The maximal ideal cycles and the fundamental cycles are defined on the
exceptional sets of resolution spaces of normal complex surface singularities.
The former (resp. later) is determined by the analytic (resp. topological)
structure of the singularities. We study such cycles for normal surface
singularities with ${\Bbb C}^*$-action. Assuming the existence of a reduced
homogeneous function of the minimal degree, we prove that these two cycles
coincide if the coefficients on the central curve of the exceptional set of the
minimal good resolution coincide.
Ho, Kwok-Pun
We establish the atomic decompositions for the weighted Hardy spaces with
variable exponents. These atomic decompositions also reveal some intrinsic
structures of atomic decomposition for Hardy type spaces.
Ho, Kwok-Pun
We establish the atomic decompositions for the weighted Hardy spaces with
variable exponents. These atomic decompositions also reveal some intrinsic
structures of atomic decomposition for Hardy type spaces.
Yoshioka, Kōta
We shall give a necessary and sufficient condition for the existence of stable
sheaves on Enriques surfaces based on results of Kim, Yoshioka, Hauzer and Nuer.
For unnodal Enriques surfaces, we also study the relation of virtual Hodge
“polynomial” of the moduli stacks.
Yoshioka, Kōta
We shall give a necessary and sufficient condition for the existence of stable
sheaves on Enriques surfaces based on results of Kim, Yoshioka, Hauzer and Nuer.
For unnodal Enriques surfaces, we also study the relation of virtual Hodge
“polynomial” of the moduli stacks.
González, Eduardo; Iritani, Hiroshi
Let $M$ be a symplectic manifold equipped with a Hamiltonian circle action and
let $L$ be an invariant Lagrangian submanifold of $M$. We study the problem of
counting holomorphic disc sections of the trivial $M$-bundle over a disc
with boundary in $L$ through degeneration. We obtain a conjectural relationship
between the potential function of $L$ and the Seidel element associated to the
circle action. When applied to a Lagrangian torus fibre of a semi-positive toric
manifold, this degeneration argument reproduces a conjecture (now a theorem) of
Chan-Lau-Leung-Tseng [8, 9] relating certain correction terms appearing in the
Seidel elements with the potential function.
González, Eduardo; Iritani, Hiroshi
Let $M$ be a symplectic manifold equipped with a Hamiltonian circle action and
let $L$ be an invariant Lagrangian submanifold of $M$. We study the problem of
counting holomorphic disc sections of the trivial $M$-bundle over a disc
with boundary in $L$ through degeneration. We obtain a conjectural relationship
between the potential function of $L$ and the Seidel element associated to the
circle action. When applied to a Lagrangian torus fibre of a semi-positive toric
manifold, this degeneration argument reproduces a conjecture (now a theorem) of
Chan-Lau-Leung-Tseng [8, 9] relating certain correction terms appearing in the
Seidel elements with the potential function.