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Syzygies of projective toric varieties | | Hal Schenck
; Gregory G. Smith
; | | Date: |
21 Aug 2003 | | Subject: | Algebraic Geometry; Commutative Algebra; Combinatorics MSC-class: 14M25 (Primary) 13D02, 14C20 (Secondary) | math.AG math.AC math.CO | | Abstract: | We study the equations defining a projective embedding of a toric variety X using multigraded Castelnuovo-Mumford regularity. Consider globally generated line bundles B_1,...,B_n and an ample line bundle L := B_1^{otimes m_1} otimes B_2^{otimes m_2} otimes .... otimes B_n^{otimes m_n} on X. This article gives sufficient conditions on m_i to guarantee that the homogeneous ideal I of X in P^r := P(H^0(X,L)) is generated by quadrics and the first p syzygies are linear. | | Source: | arXiv, math.AG/0308205 | | Services: | Forum | Review | PDF | Favorites | |
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