| Title |
Singularities in Geometry and Topology ([EBook] :) : Strasbourg 2009 / / Vincent Blanlœil, Toru Ohmoto |
| Added Personal Name |
Blanlœil, Vincent |
| Ohmoto, Toru |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2012 |
| Physical Details |
1 online resource (370 pages) |
| Series |
IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 20 |
| ISBN |
9783037196182 |
| Summary Note |
This volume arises from 5th Franco-Japanese Symposium on Singularities, held in Strasbourg in August 2009. The conference brought together an international group of researchers working on singularities in algebraic geometry, analytic geometry and topology, mainly from France and Japan. Besides, it also organized a special session, JSPS Forum on Singularities and Applications, which was aimed to introduce some recent applications of singularity theory to physics and statistics. This book comprises research papers and short lecture notes on advanced topics on singularities. Some surveys on applications that were presented in the Forum are also added. Topics covered include splice surface singularities, b-functions, equisingularity, degenerating families of Riemann surfaces, hyperplane arrangements, mixed singularities, jet schemes, noncommutative blow-ups, characteristic classes of singular spaces, and applications to geometric optics, cosmology and learning theory. Graduate students who wish to learn about various approaches to singularities, as well as experts in the field and researchers in other areas of mathematics and science will find the contributions to this volume a rich source for further study and research.: |
| Contents note |
Optical caustics and their modelling as singularities /: On local equisingularity /: Jet schemes of homogeneous hypersurfaces /: Singularities in relativity /: On the universal degenerating family of Riemann surfaces /: Algebraic local cohomologies and local $b$-functions attached to semiquasihomogeneous singularities with $L(f)=2$ /: A note on the Chern–Schwartz–MacPherson class /: On mixed projective curves /: Invariants of splice quotient singularities /: A note on the toric duality between the cyclic quotient surface singularities $A_{n,q}$ and $A_{n,n - q}$ /: Nearby cycles and characteristic classes of singular spaces /: Residues of singular holomorphic distributions /: Two birational invariants in statistical learning theory /: Frobenius morphisms of noncommutative blowups /: Bivariant motivic Hirzebruch class and a zeta function of motivic Hirzebruch class /: Minimality of hyperplane arrangements and basis of local system cohomology /: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/118 |
| See Also |
https://www.ems-ph.org/img/books/blanloeil_mini.jpg |
| Links to Related Works |
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