{"product_id":"the-symmetric-signature-ph-d-thesis-university-of-osnabruck-2016-von-alessio-caminata","title":"The Symmetric Signature","description":"\u003cp\u003eThis is a dissertation in commutative algebra. The author introduces a new numerical invariant for local rings called symmetric signature. Given a local ring, the symmetric signature is defined by looking at the maximal free splitting of reflexive symmetric powers of the top-dimensional syzygy module of the residue field. The main motivation for this work is given by the F-signature, an important numerical invariant for local rings of positive characteristic which has been largely studied in the last decade. The dissertation contains a computation of the symmetric signature for two-dimensional ADE singularities and for cones over elliptic curves. In both cases, the values obtained coincide with the F-signature of such rings in positive characteristic. The thesis presents also a self-contained exposition of the Auslander correspondence, which is one of the main methods employed.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783330520660\"\u003e\u003ch3\u003ePh.D. Thesis, University of Osnabrück, 2016\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783330520660","offer_id":39429680169053,"sku":"9783330520660","price":44.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/d8a4f17a-b553-4546-b8e4-bab4d6293704.jpg?v=1759119085","url":"https:\/\/shop.autorenwelt.de\/products\/the-symmetric-signature-ph-d-thesis-university-of-osnabruck-2016-von-alessio-caminata","provider":"Autorenwelt Shop","version":"1.0","type":"link"}