{"product_id":"local-moduli-and-singularities-9783540192350","title":"Local Moduli and Singularities","description":"\u003cp\u003e • Author(s): Olav Arnfinn Laudal | Gerhard Pfister\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Geometry - Algebraic\u003c\/p\u003e\u003cp\u003eThis research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47592013987991,"sku":"9783540192350","price":2930.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540192350.webp?v=1774975682","url":"https:\/\/atlanticbooks.com\/products\/local-moduli-and-singularities-9783540192350","provider":"Atlantic Books","version":"1.0","type":"link"}