Plane quartics and Fano threefolds of genus twelve
نویسنده
چکیده
288 triangles are strictly biscribed by a plane quartic curve C ⊂ P = P(C). Two computations of this number will be presented. This number 288 = 36× 8 is related with an even theta characteristic of C and with a Fano threefold V22 of genus twelve. In fact there is a natural birational correspondence between the moduli of V22’s and that of plane quartics. This correspondence led the author to a description of those Fano threefolds as V SP (6,Γ), the variety of sums of powers of another plane quartic Γ : F4(x, y, z) = 0 ([6]).
منابع مشابه
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