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 off 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 I.C.I.S. . Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the I.C.I.S. (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.

*"synopsis" may belong to another edition of this title.*

From the reviews:

“The aim of this book is to study the topological types of the oriented smooth 3-manifolds appearing as boundaries ∂F of the Milnor fibers of complex surface singularities of embedding dimension 3, as well as the monodromy actions on their homology. ... It is clearly invaluable for anybody interested in the topology of non-isolated complex surface singularities and even of singularities of real analytic spaces of dimension 4.” (Patrick Popescu-Pampu, Mathematical Reviews, January, 2014)

“The book describes three manifolds which occur in relation with complex hypersurfaces in C3 near singular points. ... I recommend it to all students and researchers who are interested in the local topology of algebraic varieties. It contains a good description of techniques, such as plumbing, cyclic coverings, monodromy, et cetera. The book is well written and ends with several topics for future research.” (Dirk Siersma, Nieuw Archief voor Wiskunde, Vol. 14 (2), June, 2013)*"About this title" may belong to another edition of this title.*

US$ 51.13

**Shipping:**
US$ 2.64

Within U.S.A.

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Quantity Available: 2

Seller:

Rating

**Book Description **Condition: New. Seller Inventory # 12936389-n

Published by
Springer
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2012. Paperback. Condition: New. 2012. Seller Inventory # DADAX3642236464

Published by
Springer Berlin Heidelberg 2012-01-06, Berlin |London
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
paperback
Quantity Available: > 20

Seller:

Rating

**Book Description **Springer Berlin Heidelberg 2012-01-06, Berlin |London, 2012. paperback. Condition: New. Seller Inventory # 9783642236464

Published by
Springer
(2017)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, 2017. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2017; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9783642236464_lsuk

Published by
Springer 2012-01-06
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Quantity Available: 2

Seller:

Rating

**Book Description **Springer 2012-01-06, 2012. Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 4-5 working days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-LBR-01039524

Published by
Springer-Verlag Gmbh Jan 2012
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Taschenbuch
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Gmbh Jan 2012, 2012. Taschenbuch. Condition: Neu. Neuware - 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. 240 pp. Englisch. Seller Inventory # 9783642236464

Published by
Springer-Verlag Gmbh Jan 2012
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Taschenbuch
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Gmbh Jan 2012, 2012. Taschenbuch. Condition: Neu. Neuware - 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. 240 pp. Englisch. Seller Inventory # 9783642236464

Published by
Springer Verlag
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Paperback
Quantity Available: 2

Seller:

Rating

**Book Description **Springer Verlag, 2012. Paperback. Condition: Brand New. 2012 edition. 252 pages. 9.00x6.00x0.75 inches. In Stock. Seller Inventory # x-3642236464

Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Paperback
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany, 2012. Paperback. Condition: New. 2012. Language: English. Brand new Book. 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. Seller Inventory # LIB9783642236464

Published by
Springer-Verlag Gmbh Jan 2012
(2012)

ISBN 10: 3642236464
ISBN 13: 9783642236464

New
Taschenbuch
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Gmbh Jan 2012, 2012. Taschenbuch. Condition: Neu. Neuware - 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. 240 pp. Englisch. Seller Inventory # 9783642236464