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带有少量非分裂纤维的纤维簇的有理点（魏达盛）
非分裂纤维 纤维簇 有理点
2023/2/22
We revisit the abstract framework underlying the fibration method for producing rational points on the total space of fibrations over the projective line. By fine-tuning its dependence on external ari...
Singularity invariants related to Milnor fibers: survey
Singularity invariants Milnor fibers survey
2011/1/21
This brief survey of some singularity invariants related to Milnor fibers should serve as a quick guide to references. We attempt to place things into a wide geometric context while leaving technicali...
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Bi-orderable group twisted Alexander polynomial
2011/1/17
We observe that Clay-Rolfsen’s obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations ...
Auroux, Donaldson and Katzarkov introduced broken Lefschetz fibrations as a generalization of Lefshcetz fibrations in order to describe near-symplectic 4-manifolds.We first study monodromy representat...
Kreck-Stolz invariants for quaternionic line bundles
invariant quaternionic line bundle 7-manifold smooth structure
2011/2/25
We generalise the Kreck-Stolz invariants s2 and s3 by defining a new invariant, the t-invariant, for quaternionic line bundles over closed spinmanifolds M of dimension 4k − 1 with H3(M;Q) = H4(M...
Galois and universal universal coverings of linear categories and fibre products
fibre product section Galois covering universal covering
2011/2/21
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.
We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connected automorphism group...
Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$
Rational Fibrations $\bar{M}_{5,1}$ $\bar{M}_{6,1}$
2011/2/25
This is the second of two papers on the birational geometry ofM g,1. We construct rationalmaps fromM5,1 andM6,1 to lower-dimensional moduli spaces. As a consequence, we identify geometric divisors tha...
Some Inequalities for Nilpotent Multipliers of Powerful $p$-Groups
Nilpotent multiplier Powerful p-group
2011/2/21
In this paper we present some inequalities for the order, the exponent,and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of...
Let K be a tunnel number one, bered link in S3, with ber F, and unknotting tunnel . We show that can be isotoped to lie in F.
Convolutional Goppa codes defined on fibrations
Convolutional codes Goopa codes MDS codes finite fields
2011/2/25
We define a new class of Convolutional Codes in terms of fibrations of algebraic varieties generalizaing our previous constructions of Convolutional Goppa Codes ([1, 14]). Using this general construct...
Effective hybrid evolutionary computational algorithms for global optimization and applied to construct prion AGAAAAGA fibril models
Effective hybrid evolutionary computational algorithms global optimization construct prion AGAAAAGA fibril models
2011/3/4
Evolutionary algorithms are parallel computing algorithms and simulated annealing algorithm is a sequential computing algorithm.
Given any line bundle L of positive degree, on a compact Riemann surface,let ML be the moduli space of L-twisted Higgs pairs of rank 2 with fixed determinant isomorphic to and traceless Higgs field...
Adaptive Nonparametric Regression on Spin Fiber Bundles
Spin Fiber Bundles Mixed Spin Needlets Adaptive Nonparametric Regression Thresholding Spin Besov Spaces.
2010/12/10
The construction of adaptive nonparametric procedures by means of wavelet thresh-olding techniques is now a classical topic in modern mathematical statistics. In this paper, we extend this framework t...
Relative Microlinearity -Towards the general theory of fiber bundles for Frolicher spaces
general theory of fiber bundles Frolicher spaces
2010/12/3
In our previous papers [Far East Journal of Mathematical Sciences, 35(2009), 211-223] and [International Journal of Pure and Applied Mathematics,60 (2010).