Holmes, David Kass, Jesse Leo Pagani, Nicola
Published in
European Journal of Mathematics

We prove that the extension of the double ramification cycle defined by the first-named author (using modifications of the stack of stable curves) coincides with one of those defined by the last-two named authors (using an extended Brill–Noether locus on a suitable compactified universal Jacobians). In particular, in the untwisted case we deduce th...

Sakharova, Nina
Published in
European Journal of Mathematics

We present an integral representation for values of the automorphic Green’s function Φn(z1,z2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi _n(z_1, z_2)$$\end{do...

Skvortsov, Valentin A. Sworowski, Piotr
Published in
European Journal of Mathematics

Relations between trigonometric integrals such as Burkill’s SCP-integral, Marcinkiewicz and Zygmund’s MZ-integral, Preiss and Thomson’s AS-integral, are considered. We show that the inclusions P⊂CP⊂SCP⊂MZ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage...

Plotnikov, Mikhail
Published in
European Journal of Mathematics

Let be the (finite) Cartesian power of a zero-dimensional compact abelian group and Γ={γ}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\varvec{\Gamma }} = \{ {\varv...

Darji, Udayan B. Natkaniec, Tomasz Skvortsov, Valentin A.
Published in
European Journal of Mathematics

Codogni, Giulio Fanelli, Andrea Svaldi, Roberto Tasin, Luca
Published in
European Journal of Mathematics

We consider the problem of determining which Fano manifolds can be realised as fibres of a Mori fibre space. In particular, we study the case of toric varieties, Fano manifolds with high index and some Fano manifolds with high Picard rank.

Borsík, Ján
Published in
European Journal of Mathematics

Sets of points of uniform convergence for sequences of quasicontinuous functions and for convergent sequences of functions are characterized. It is proved that a subset of a metric space is the set of points of uniform convergence for some convergent sequence of functions if and only if it is a Gδ\documentclass[12pt]{minimal} \usepackage{amsmath} \...

Hanson, Bruce Humke, Paul D. Walmsley, David
Published in
European Journal of Mathematics

We use elementary iterated function techniques to show there is a function in C[0, 1] whose iterated derivatives are dense in C[0, 1] and provide several related results.

Drewnowski, Lech Labuda, Iwo
Published in
European Journal of Mathematics

We investigate various Localization Properties of ideals in relative to sequence spaces supported by them, particularly the Localization Property for Series. The results obtained enable us to prove the existence of a class of sequence spaces X in which every zero-density convergent series is subseries convergent (i.e., X has the Zero Density Conver...

Bingham, Nicholas H. Ostaszewski, Adam J.
Published in
European Journal of Mathematics

This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure—category-measure duality and non-duality, as it were. The bulk of the text is devoted to a summary, intended for the working analyst, of the extensive background in set theory and logic needed to discuss such matt...