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Smoothable zero dimensional schemes and special projections of algebraic varieties
Authors:Joachim Jelisiejew  Grzegorz Kapustka  Micha&#x; Kapustka
Institution:Joachim Jelisiejew,Grzegorz Kapustka,Michał Kapustka
Abstract:We study the degrees of generators of the ideal of a projected Veronese variety urn:x-wiley:0025584X:media:mana201800327:mana201800327-math-0001 to urn:x-wiley:0025584X:media:mana201800327:mana201800327-math-0002 depending on the center of projection. This is related to the geometry of zero dimensional schemes of length 8 in urn:x-wiley:0025584X:media:mana201800327:mana201800327-math-0003, Cremona transforms of urn:x-wiley:0025584X:media:mana201800327:mana201800327-math-0004, and the geometry of Tonoli Calabi‐Yau threefolds of degree 17 in urn:x-wiley:0025584X:media:mana201800327:mana201800327-math-0005.
Keywords:Cremona map  Hilbert scheme  smoothability  special projection  Tonoli Calabi‐Yau  14J32  14E07  14C05  14J10
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