Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages : 16
Book Description
Intersection Homology D-module on Local Complete Intersections with Isolated Singularities
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages : 16
Book Description
Isolated Singular Points on Complete Intersections
Author: Eduard LooijengaPublisher: Cambridge University Press
ISBN: 9780521286749
Category : Mathematics
Languages : en
Pages : 216
Book Description
This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.
The Intersection Homology D-module on Hypersurfaces with Isolated Singularities
Author: Kari Kaleva VilonenPublisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 48
Book Description
The Intersection Homology D-module in Finite Characteristic
Author: Manuel BlickleAnalytic D-Modules and Applications
Author: Jan-Erik BjörkPublisher: Springer Science & Business Media
ISBN: 9401707170
Category : Mathematics
Languages : en
Pages : 588
Book Description
This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.
Finite or Infinite Dimensional Complex Analysis
Author: Joji KajiwaraPublisher: CRC Press
ISBN: 0429530005
Category : Mathematics
Languages : en
Pages : 674
Book Description
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.
Proceedings of the Second ISAAC Congress
Author: Heinrich G.W. BegehrPublisher: Springer Science & Business Media
ISBN: 1461302714
Category : Mathematics
Languages : en
Pages : 792
Book Description
Let 8 be a Riemann surface of analytically finite type (9, n) with 29 2+n> O. Take two pointsP1, P2 E 8, and set 8,1>2= 8 \ {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso topic to the identity on 8,P2' ThenHomeot(8;P1,P2) is a normal sub pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbolic. The condition is described in terms of properties of the pure braid [b] w induced by [w]. Proofs will appear elsewhere. The problem considered in this note and the form ofthe solution are suggested by Kra's beautiful theorem in [6], where he treats self-maps of Riemann surfaces with one specified point. 2 TheclassificationduetoBers Let us recall the classification of elements of the mapping class group due to Bers (see Bers [1]). LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R) be the Teichmtiller modular group of R. Note that an orientation preserving homeomorphism w: R -+ R induces canonically an element (w) EMod(R). Denote by & .r(R)(·, .) the Teichmiiller distance onT(R). For an elementXEMod(R), we define a(x)= inf & .r(R)(r, x(r)).
Higher Multiplicities and Almost Free Divisors and Complete Intersections
Author: James DamonPublisher: American Mathematical Soc.
ISBN: 0821804812
Category : Mathematics
Languages : en
Pages : 130
Book Description
Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.
3264 and All That
Author: David EisenbudPublisher: Cambridge University Press
ISBN: 1107017084
Category : Mathematics
Languages : en
Pages : 633
Book Description
3264, the mathematical solution to a question concerning geometric figures.
Author: