Matsubara, Yuki
Published in
manuscripta mathematica

We study the moduli space of logarithmic connections of rank 2 on P1\{t1,⋯,t5}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {P}}^1 {\setminus } \{ t_1, \dots...

Lieblich, Max Osserman, Brian
Published in
manuscripta mathematica

We introduce a formalism of descent of moduli spaces, and use it to produce limit linear series moduli spaces for families of curves in which the components of geometric fibers may have nontrivial monodromy. We then construct a universal stack of limit linear series over the stack of semistable curves of compact type, and produce new results on exi...

Bayer-Fluckiger, Eva Berhuy, Grégory Chuard–Koulmann, Pascale
Published in
manuscripta mathematica

Cohen and Odoni prove that every CM–field can be generated by an eigenvalue of some skew–symmetric matrix with rational coefficients. It is natural to ask for the minimal dimension of such a matrix. They show that every CM–field of degree 2n is generated by an eigenvalue of a skew–symmetric matrix over Q of dimension at most 4n+2. The aim of the pr...

Jelonek, Zbigniew Lasoń, Michał
Published in
manuscripta mathematica

Let f be a generically finite polynomial map f:Cn→Cm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f: \mathbb {C}^n\rightarrow \mathbb {C}^m$$\end{document} of algebra...

Ho, Pak Tung Koo, Hyunmo
Published in
manuscripta mathematica

On a two-dimensional compact Riemannian manifold with boundary, we prove that the first nonzero Steklov eigenvalue is nondecreasing along the unnormalized geodesic curvature flow if the initial metric has positive geodesic curvature and vanishing Gaussian curvature. Using the normalized geodesic curvature flow, we also obtain some estimate for the ...

Fu, Lie Tian, Zhiyu
Published in
manuscripta mathematica

We revisit the classical two-dimensional McKay correspondence in two respects: The first one, which is the main point of this work, is that we take into account of the multiplicative structure given by the orbifold product; second, instead of using cohomology, we deal with the Chow motives. More precisely, we prove that for any smooth proper two-di...

Ogawa, Takayoshi Wakui, Hiroshi
Published in
manuscripta mathematica

We consider the non-existence and the non-uniform boundedness of a time global solution to the Cauchy problem of a degenerate drift-diffusion system with the mass critical exponent. If the initial data has negative free energy, then either the corresponding weak solution to the equation does not exist globally in time, or the time global solution d...

Bellamy, Gwyn Boos, Magdalena
Published in
manuscripta mathematica

The article “The (cyclic) enhanced nilpotent cone via quiver representations”, written by Gwyn Bellamy Magdalena Boos, was originally published electronically on the publisher’s internet portal (currently SpringerLink) on December 17, 2018, without open access.

Amri, Béchir Gaidi, Mohamed
Published in
manuscripta mathematica

In this paper, our main aim is to derive Lp-Lq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p-L^q$$\end{document} estimates of the solution uk(x,t)\documentclass[12...

Huang, Yongpan Li, Dongsheng Zhang, Kai
Published in
manuscripta mathematica

In this paper, we give pointwise geometric conditions on the boundary which guarantee the differentiability of the solution at the boundary. Precisely, the geometric conditions are two parts: the proper blow up condition (see Definition 1) and the exterior Dini hypersurface condition (see Definition 2). If Ω\documentclass[12pt]{minimal} \usepackage...