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On some lattice computations related to moduli problems
The method used in [6] to prove that most moduli spaces of K3 surfaces are of general type leads to a combinatorial problem about the possible number of roots orthogonal to a vector of given length in E8. A similar problem...
Boundedness for surfaces in weighted projective 4-spaces.
In this paper we consider bounds on the degree of a quasismooth non-general type surface in weighted projective 4-space. We show that such a bound in terms of the weights exists, and compute an explicit bound in simple cases.
Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation
We introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective spaces.
Hyperelliptic genus 4 curves on abelian surfaces
We study smooth curves on abelian surfaces, especially for genus 4, when the complementary subvariety in the Jacobian is also a surface. We show that up to translation there is exactly one genus 4 hyperelliptic curve on a...
Fundamental groups of toroidal compactifications
We compute the fundamental group of a toroidal compactification of a Hermitian locally symmetric space D/Γ, without assuming either that Γ is neat or that it is arithmetic. We also give bounds for the first Betti number.
Blowups with log canonical singularities
We show that the minimum weight of a weighted blowup of Ad with ε–log canonical singularities is bounded by a constant depending only on ε and d . This was conjectured by Birkar. Using the recent classification of...
Regular cylindrical algebraic decomposition
We show that a strong well-based cylindrical algebraic decomposition P of a bounded semi-algebraic set S is a regular cell decomposition, in any dimension and independently of the method by which P is constructed. Being...
Boundedness for surfaces in weighted projective 4-spaces.
In this paper we consider bounds on the degree of a quasismooth non-general type surface in weighted projective 4-space. We show that such a bound in terms of the weights exists, and compute an explicit bound in simple cases.
Fundamental groups of toroidal compactifications
We compute the fundamental group of a toroidal compactification of a Hermitian locally symmetric space D/Γ, without assuming either that Γ is neat or that it is arithmetic. We also give bounds for the first Betti number.
Hyperelliptic genus 4 curves on abelian surfaces
We study smooth curves on abelian surfaces, especially for genus 4, when the complementary subvariety in the Jacobian is also a surface. We show that up to translation there is exactly one genus 4 hyperelliptic curve on a...
Blowups with log canonical singularities
We show that the minimum weight of a weighted blowup of Ad with ε–log canonical singularities is bounded by a constant depending only on ε and d . This was conjectured by Birkar. Using the recent classification of...
Semantics derived automatically from language corpora contain human-like biases
Machine learning is a means to derive artificial intelligence by discovering patterns in existing data. Here, we show that applying machine learning to ordinary human language results in human-like semantic biases. We replicated...
Life-threatening metabolic alkalosis in Pendred syndrome.
INTRODUCTION: Pendred syndrome, a combination of sensorineural deafness, impaired organification of iodide in the thyroid and goitre, results from biallelic defects in pendrin (encoded by SLC26A4), which transports chloride and...
On some lattice computations related to moduli problems
The method used in [6] to prove that most moduli spaces of K3 surfaces are of general type leads to a combinatorial problem about the possible number of roots orthogonal to a vector of given length in E8. A similar problem...
Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation
We introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective spaces.
Heard but not seen
We used capture (mist-netting) and acoustic methods to compare the species richness, abundance, and composition of a bat assemblage in different habitats in the Western Ghats of India. In the tropics, catching bats has been more...
Regular cylindrical algebraic decomposition
We show that a strong well-based cylindrical algebraic decomposition P of a bounded semi-algebraic set S is a regular cell decomposition, in any dimension and independently of the method by which P is constructed. Being...
Semantics derived automatically from language corpora contain human-like biases
Machine learning is a means to derive artificial intelligence by discovering patterns in existing data. Here, we show that applying machine learning to ordinary human language results in human-like semantic biases. We replicated...
Influence of Stone Columns on Seismic Response of Buildings Considering the Effects of Liquefaction
In this paper, the behaviour of a soil-foundation system supported on a stone column-reinforced liquefiable soil strata is investigated through finite element analysis. The numerical analyses are performed on a five story...
Published by: IGI Global Scientific Publishing
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