منابع مشابه
Veronesean Almost Binomial Almost Complete Intersections
The second Veronese ideal In contains a natural complete intersection Jn generated by the principal 2-minors of a symmetric (n× n)-matrix. We determine subintersections of the primary decomposition of Jn where one intersectand is omitted. If In is omitted, the result is the other end of a complete intersection link as in liaison theory. These subintersections also yield interesting insights int...
متن کاملThe Equations of Almost Complete Intersections
In this paper we examine the role of four Hilbert functions in the determination of the defining relations of the Rees algebra of almost complete intersections of finite colength. Because three of the corresponding modules are Artinian, some of these relationships are very effective, opening up tracks to the determination of the equations and also to processes of going from homologically define...
متن کاملLocal Complete Intersections in P and Koszul Syzygies
X iv :m at h/ 01 10 09 7v 1 [ m at h. A G ] 9 O ct 2 00 1 LOCAL COMPLETE INTERSECTIONS IN P AND KOSZUL SYZYGIES DAVID COX AND HAL SCHENCK Abstract. We study the syzygies of a codimension two ideal I = 〈f1, f2, f3〉 ⊆ k[x, y, z]. Our main result is that the module of syzygies vanishing (schemetheoretically) at the zero locus Z = V(I) is generated by the Koszul syzygies iff Z is a local complete i...
متن کاملAlmost set-theoretic complete intersections in characteristic zero
We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations .
متن کاملOn toric varieties which are almost set-theoretic complete intersections
We describe a class of affine toric varieties V that are set-theoretically minimally defined by codimV + 1 binomial equations over fields of any characteristic.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.12.020