Temporal optical solitons have been the subject of intense research due to their intriguing physics and applications in ultrafast optics and supercontinuum generation. Conventional bright optical ...

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This is a preview. Log in through your library . Abstract Let $\mathscr L$ be any totally complex quartic field. Two algorithms are described for determining whether or not any given ideal in ...

A very general surface of degree at least four in P3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P3 of degree at least five ...

Let's try \((x \pm 1)\) first, that is \(x = \pm 1\).