LIFTINGS OF A MONOMIAL CURVE


ŞAHİN M.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.98, ss.230-238, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 98 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1017/s0004972718000400
  • Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.230-238

Özet

We study an operation, that we call lifting, creating nonisomorphic monomial curves from a single monomial curve. Our main result says that all but finitely many liftings of a monomial curve have Cohen-Macaulay tangent cones even if the tangent cone of the original curve is not Cohen-Macaulay. This implies that the Betti sequence of the tangent cone is eventually constant under this operation. Moreover, all liftings have Cohen-Macaulay tangent cones when the original monomial curve has a Cohen-Macaulay tangent cone. In this case, all the Betti sequences are just the Betti sequence of the original curve.