Results 1  10
of
319
Complex blowup in Burgers’ equation: an iterative approach, bull
 Austral. Math. Soc
, 1996
"... We show that for a given holomorphic noncharacteristic surface S ∈ C 2, and a given holomorphic function on S, there exists a unique meromorphic solution of Burgers ’ equation which blows up on S. This proves the convergence of the formal Laurent series expansion found by the Painlevé test. The meth ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
We show that for a given holomorphic noncharacteristic surface S ∈ C 2, and a given holomorphic function on S, there exists a unique meromorphic solution of Burgers ’ equation which blows up on S. This proves the convergence of the formal Laurent series expansion found by the Painlevé test
Testing Graph BlowUp
"... Abstract. Referring to the query complexity of testing graph properties in the adjacency matrix model, we advance the study of the class of properties that can be tested nonadaptively within complexity that is inversely proportional to the proximity parameter. Arguably, this is the lowest meaningfu ..."
Abstract
 Add to MetaCart
meaningful complexity class in this model, and we show that it contains a very natural class of graph properties. Specifically, for every fixed graph H, we consider the set of all graphs that are obtained by a (possibly unbalanced) blowup of H. We show a nonadaptive tester of query complexity e O(1/ǫ
Topology of Blow–ups and Enumerative Geometry
, 2009
"... Let f M be the blow–up of a complex manifold M along a submanifold X. We determine the integral cohomology ring and obtain a formula for the Chern classes of f M. As applications we determine the cohomology rings for the varieties of complete conics and complete quadrices in 3–space, and justify two ..."
Abstract
 Add to MetaCart
Let f M be the blow–up of a complex manifold M along a submanifold X. We determine the integral cohomology ring and obtain a formula for the Chern classes of f M. As applications we determine the cohomology rings for the varieties of complete conics and complete quadrices in 3–space, and justify
THE CANONICAL MODIFICATIONS BY WEIGHTED BLOWUPS
, 1996
"... Abstract. In this paper we give a criterion for an isolated, hypersurface singularity of dimension n ( ≥ 2) to have the canonical modification by means of a suitable weighted blowup. Then we give a counter example to the following conjecture by ReidWatanabe: For a 3dimensional, isolated, noncano ..."
Abstract
 Add to MetaCart
Abstract. In this paper we give a criterion for an isolated, hypersurface singularity of dimension n ( ≥ 2) to have the canonical modification by means of a suitable weighted blowup. Then we give a counter example to the following conjecture by ReidWatanabe: For a 3dimensional, isolated, non
Blowup of generalized complex 4manifolds
, 806
"... We introduce blowup and blowdown operations for generalized complex 4manifolds. Combining these with a surgery analogous to the logarithmic transform, we then construct generalized complex structures on nCP 2 #mCP 2 for n odd, a family of 4manifolds which admit neither complex nor symplectic str ..."
Abstract

Cited by 10 (1 self)
 Add to MetaCart
We introduce blowup and blowdown operations for generalized complex 4manifolds. Combining these with a surgery analogous to the logarithmic transform, we then construct generalized complex structures on nCP 2 #mCP 2 for n odd, a family of 4manifolds which admit neither complex nor symplectic
POINT CONFIGURATIONS AND BLOWUPS OF COXETER COMPLEXES
, 2005
"... The minimal blowups of simplicial Coxeter complexes are natural generalizations of the real moduli space of Riemann spheres. They inherit a tiling by the graphassociahedra convex polytopes. We obtain configuration space models for these manifolds (of spherical and Euclidean Coxeter type) using p ..."
Abstract
 Add to MetaCart
The minimal blowups of simplicial Coxeter complexes are natural generalizations of the real moduli space of Riemann spheres. They inherit a tiling by the graphassociahedra convex polytopes. We obtain configuration space models for these manifolds (of spherical and Euclidean Coxeter type) using
Nongeneric blowup solutions for the critical focusing
 NLS in 1d, preprint
, 2005
"... We consider the critical focusing NLS in 1d of the form (1.1) i∂tψ + ∂ 2 xψ = −ψ  4 ψ, i = √ −1, ψ = ψ(t, x), and ψ complex valued. It is wellknown that this equation permits standing wave solutions of the form φ(t, x) = e iαt φ0(x, α), α> 0 ..."
Abstract

Cited by 29 (9 self)
 Add to MetaCart
We consider the critical focusing NLS in 1d of the form (1.1) i∂tψ + ∂ 2 xψ = −ψ  4 ψ, i = √ −1, ψ = ψ(t, x), and ψ complex valued. It is wellknown that this equation permits standing wave solutions of the form φ(t, x) = e iαt φ0(x, α), α> 0
Blowups and resolutions of strong Kähler with torsion metrics
, 2009
"... On a compact complex manifold we study the behaviour of strong Kähler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the b ..."
Abstract

Cited by 8 (6 self)
 Add to MetaCart
the blowup of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simplyconnected strong KT manifolds.
On the Expressivity and Complexity of Quantitative BranchingTime Temporal Logics
, 2001
"... We investigate extensions of CTL allowing to express quantitative requirements about an abstract notion of time in a simple discretetime framework, and study the expressive power of several relevant logics. When only subscripted modalities are used, polynomialtime model checking is possible even f ..."
Abstract
 Add to MetaCart
for the largest logic we consider, while the introduction of freeze quantifiers leads to a complexity blowup.
A FORMULA FOR THE CHERN CLASSES OF SYMPLECTIC BLOWUPS
, 2006
"... Abstract. It is shown that the formula for the Chern classes (in the Chow ring) of blowups of algebraic varieties, due to Porteous and LascuScott, also holds (in the cohomology ring) for blowups of symplectic and complex manifolds. This was used by the secondnamed author in her solution of the g ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
Abstract. It is shown that the formula for the Chern classes (in the Chow ring) of blowups of algebraic varieties, due to Porteous and LascuScott, also holds (in the cohomology ring) for blowups of symplectic and complex manifolds. This was used by the secondnamed author in her solution
Results 1  10
of
319