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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...
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 ...
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...
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.
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       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.
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...
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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