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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       font style='font-size:12px;'> 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        font style='font-size:12px;'> 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...
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 ...
On genus-1 simplified broken Lefschetz fibrations      genus-1 simplified  Lefschetz fibrations        font style='font-size:12px;'> 2011/2/22
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       font style='font-size:12px;'> 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...
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.
On automorphism groups of fiber bundles      automorphism groups  fiber bundles        font style='font-size:12px;'> 2011/2/24
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...
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...
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...
Tunnel One, Fibered Links      bered  knot  link  tunnel  monodromy       font style='font-size:12px;'> 2011/2/21
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       font style='font-size:12px;'> 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...
Evolutionary algorithms are parallel computing algorithms and simulated annealing algorithm is a sequential computing algorithm.
The singular fibre of the Hitchin map      singular fibre  Hitchin map        font style='font-size:12px;'> 2011/2/28
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...
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...
In our previous papers [Far East Journal of Mathematical Sciences, 35(2009), 211-223] and [International Journal of Pure and Applied Mathematics,60 (2010).

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