03957nam 2200613Ia 450 991013266820332120200520144314.09783642236471364223647210.1007/978-3-642-23647-1(CKB)3390000000021959(SSID)ssj0000610279(PQKBManifestationID)11387613(PQKBTitleCode)TC0000610279(PQKBWorkID)10624489(PQKB)10073678(DE-He213)978-3-642-23647-1(MiAaPQ)EBC3070537(PPN)159084695(EXLCZ)99339000000002195920120119d2012 uy 0engurnn|008mamaatxtccrMilnor fiber boundary of a non-isolated surface singularity /Andras Nemethi, Agnes Szilard1st ed. 2012.Heidelberg ;New York Springerc20121 online resource (XII, 240 p.) Lecture notes in mathematics,0075-8434 ;2037Bibliographic Level Mode of Issuance: Monograph9783642236464 3642236464 Includes bibliographical references (p. 231-236) and index.1 Introduction -- 2 The topology of a hypersurface germ f in three variables Milnor fiber -- 3 The topology of a pair (f ; g) -- 4 Plumbing graphs and oriented plumbed 3-manifolds -- 5 Cyclic coverings of graphs -- 6 The graph GC of a pair (f ; g). The definition -- 7 The graph GC . Properties -- 8 Examples. Homogeneous singularities -- 9 Examples. Families associated with plane curve singularities -- 10 The Main Algorithm -- 11 Proof of the Main Algorithm -- 12 The Collapsing Main Algorithm -- 13 Vertical/horizontal monodromies -- 14 The algebraic monodromy of H1(¶ F). Starting point -- 15 The ranks of H1(¶ F) and H1(¶ F nVg) via plumbing -- 16 The characteristic polynomial of ¶ F via P# and P# -- 18 The mixed Hodge structure of H1(¶ F) -- 19 Homogeneous singularities -- 20 Cylinders of plane curve singularities: f = f 0(x;y) -- 21 Germs f of type z f 0(x;y) -- 22 The T;;–family -- 23 Germs f of type ˜ f (xayb; z). Suspensions -- 24 Peculiar structures on ¶ F. Topics for future research -- 25 List of examples -- 26 List of notations.In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides the characteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples, including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized.Lecture notes in mathematics (Springer-Verlag) ;2037.TopologyMilnor fibrationSingularities (Mathematics)Topology.Milnor fibration.Singularities (Mathematics)514Nemethi Andras0Szilard Agnes515211MiAaPQMiAaPQMiAaPQBOOK9910132668203321Milnor fiber boundary of a non-isolated surface singularity855920UNINA01817nam0 22003973i 450 VAN0029156920251124104927.257N978981162051520250417d2021 |0itac50 baengSG|||| |||||i e bcrLife Sciences IndustryFrom Laboratories to Commercialization of ResearchBasanta Kumara Bahera, Ram Prasad, Shyambhavee BeheraSingaporeSpringer2021XVI, 207 p.ill.24 cm001VAN002915702001 New Paradigms of Living Systems210 SingaporeSpringer2020-20212SGSingaporeVANL000061660.63Biochimica industriale. Ingegneria biochimica22BaheraBasanta K.VANV2470711803575BeheraShyambhaveeVANV2470751803576PrasadRamVANV1947111781615Springer <editore>VANV108073650Bahera, Basanta KumaraBahera, Basanta K.VANV247072Bahera, B. K.Bahera, Basanta K.VANV247073Bahera, B.K.Bahera, Basanta K.VANV247074ITSOL20251128RICAhttps://link.springer.com/book/10.1007/978-981-16-2051-5E-book - Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHEIT-CE0101VAN17NVAN00291569BIBLIOTECA DEL DIPARTIMENTO DI SCIENZE E TECNOLOGIE AMBIENTALI BIOLOGICHE E FARMACEUTICHE17CONS e-book 189 17BIB189/471 471 20250417 Life Sciences Industry4351166UNICAMPANIA