LAUSR

On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials

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1 Published in 2018 at "Arnold Mathematical Journal"

DOI: 10.1007/s40598-019-00102-1

Abstract: The class $${\mathcal {B}}$$B of lacunary polynomials $$f\,(x)\ :=\ -1\ +\ x\ +\ x^{n}\ +\ x^{m_{1}}\ +\ x^{m_{2}}\ +\ \cdots \ +\ x^{m_{s}}$$f(x):=-1+x+xn+xm1+xm2+⋯+xms, where $$s\ \geqslant \ 0$$s⩾0, $$m_{1}\ -\ n\ \geqslant \ n\ -\… read more here.

Keywords: reducibility; almost newman; lacunary polynomials; class mathcal ... See more keywords

MINIMAL MODEL THEORY FOR LOG SURFACES IN FUJIKI’S CLASS ${\mathcal{C}}$

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0 Published in 2020 at "Nagoya Mathematical Journal"

DOI: 10.1017/nmj.2020.14

Abstract: We establish the minimal model theory for $\mathbb{Q}$-factorial log surfaces and log canonical surfaces in Fujiki’s class ${\mathcal{C}}$. read more here.

Keywords: log surfaces; minimal model; class mathcal; model theory ... See more keywords

Composite quasianalytic functions

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0 Published in 2018 at "Compositio Mathematica"

DOI: 10.1112/s0010437x18007339

Abstract: We prove two main results on Denjoy–Carleman classes: (1) a composite function theorem which asserts that a function $f(x)$ in a quasianalytic Denjoy–Carleman class ${\mathcal{Q}}_{M}$ , which is formally composite with a generically submersive mapping… read more here.

Keywords: class mathcal; unicode stix; stix x1d711;