THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER
Sign Up to like & getrecommendations! Published in 2020 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2020.19
Abstract: We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number… read more here.
Keywords: genus one; one higher; conjecture genus; zariski conjecture ... See more keywords
Embedding FLRW geometries in pseudo-Euclidean and anti-de Sitter spaces
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DOI: 10.1103/physrevd.95.064058
Abstract: Contrary to the general consensus in the literature that Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) geometries are of embedding class one (i.e.\ embeddable in one higher dimensional pseudo-Euclidean spaces), we show that the most general $k=0$ and $k=-1$ FLRW… read more here.
Keywords: flrw geometries; class; one higher; pseudo euclidean ... See more keywords