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A Class of Locally Complete Intersection Multiple Structures on Smooth Algebraic Varieties as Support
| Content Provider | Semantic Scholar |
|---|---|
| Author | Manolache, Nicolae |
| Copyright Year | 2009 |
| Abstract | The systematic study of multiple structures, made necessary (and possible) by the notion of scheme introduced by Grothendieck, began with the papers [Fo], [Fe] and was continuated in [BF1] and [M1], [M2], [M3] (the last three use also ideeas from [PS]). In [BF1], [BF2], along the classification, up to multiplicity 4, of multiple locally complete intersection (lci for short) structures on a smooth curve embedded in a smooth threefold, general classes of multiple structures are introduced, the so-called “primitive” and “quasiprimitive” structures. The primitive ones are characterized by the fact that, locally, they are defined by equations of the type xn = 0, y = 0, z = 0, . . . , u = 0; the quasiprimitive ones are those which are generically primitive. The general study of these structures was continued by several authors, from which we mention [Bo], [Dr1], [Dr2], [Dr3], [Dr4]. In this paper we give the construction of a class of multiple locally complete intersection (lci for short) structures on a smooth algebraic variety as support. This class contains the lci structures defined locally by the “the next“ monomial equations, namely those which are defined locally by equations of the form xn = 0, y = 0, z = 0, . . . , u = 0. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0907.1108v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Bronchiolitis Obliterans Call of Duty: Black Ops Class Dietary Iron Embedded system Embedding FOXG1 wt Allele Field electron emission Intersection of set of elements Monomial Paper multiplicity |
| Content Type | Text |
| Resource Type | Article |
