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DOE OSTI · 21592563

Three-dimensional quartics containing a plane

Grinenko, Mikhail M
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Abstract

We study Fano threefolds birationally equivalent to a quartic containing a plane. We prove that linear systems that have no maximal singularities at a singular point of the variety can have maximal singularities only along curves of degree one. We construct corresponding birational automorphisms. Bibliography: 10 titles.

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97 MATHEMATICS AND COMPUTINGDIAGRAMSINFORMATIONMATHEMATICAL LOGICMATHEMATICAL MANIFOLDSSINGULARITYTHREE-DIMENSIONAL CALCULATIONS

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Grinenko, Mikhail M. 2011-02-28. Three-dimensional quartics containing a plane. https://doi.org/10.1070/sm2011v202n02abeh004143%3B%20country%20of%20input%3A%20international%20atomic%20energy%20agency%20(iaea)

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