{"product_id":"nash-problem-on-spaces-of-arcs-von-peter-petrov","title":"Nash problem on spaces of arcs","description":"\u003cp\u003eThe jet schemes and the arc scheme of an algebraic  variety give  important information about its singularities, in  particular about their invariants. A  major problem in the area was proposed by J. Nash in  1968. The main goal of this article is to review the  results obtained about Nash problem, and some of its  modifications. The first three chapters contain an  introduction to the subject, including the Nash  theorem and a counter-example in dimension 4. The  remaining chapters contain results about toric and  stable toric varieties, algebraic surfaces, and the higher dimensional case. Also, the embedded Nash  problem, the Nash problem for pairs and the local  Nash problem are introduced, with some  results discussed.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838330600\"\u003e\u003ch3\u003eSingularities from the viewpoint of arc spaces\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838330600","offer_id":39499100422237,"sku":"9783838330600","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ebeb78e1-1f1e-468a-b427-c5df07ed734c.jpg?v=1759210611","url":"https:\/\/shop.autorenwelt.de\/en\/products\/nash-problem-on-spaces-of-arcs-von-peter-petrov","provider":"Autorenwelt Shop","version":"1.0","type":"link"}