Strange Duality Between the Quadrangle Complete Intersection Singularities

نویسندگان

چکیده

Abstract There is a strange duality between the quadrangle isolated complete intersection singularities discovered by first author and Wall. We derive this from variation of Berglund–Hübsch transposition invertible polynomials introduced in our previous work about hypersurface using matrix factorizations size two.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rigid and Complete Intersection Lagrangian Singularities

In this article we prove a rigidity theorem for lagrangian singularities by studying the local cohomology of the lagrangian de Rham complex that was introduced in [SvS03]. The result can be applied to show the rigidity of all open swallowtails of dimension ≥ 2. In the case of lagrangian complete intersection singularities the lagrangian de Rham complex turns out to be perverse. We also show tha...

متن کامل

Strange duality and polar duality

We describe a relation between Arnold’s strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. We show that this relation continues to hold for the extension of Arnold’s strange duality found by C. T. C. Wall and the author. By a method of Ehlers-Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed...

متن کامل

Complete Intersection Singularities of Splice Type as Universal Abelian Covers

It has long been known that every quasi-homogeneous normal complex surface singularity with Q–homology sphere link has universal abelian cover a Brieskorn complete intersection singularity. We describe a broad generalization: First, one has a class of complete intersection normal complex surface singularities called “splice type singularities,” which generalize Brieskorn complete intersections....

متن کامل

Mirror Symmetry and Strange Duality

1. Mirror symmetry Superstring theory and conformal eld theory has developed and was connected with algebraic geometry in the late 80's. The mirror symmetry, which implies a kind of symmetry of moduli space of Calabi-Yau varieties, is one of the most striking blows from superconformal eld theory. Since there are numerous papers available in this subject now, we will just follow the story and re...

متن کامل

Intersection Spaces and Hypersurface Singularities

We give an elementary introduction to the first author’s theory of intersection spaces associated to complex projective varieties with only isolated singularities. We also survey recent results on the deformation invariance of intersection space homology in the context of projective hypersurfaces with an isolated singularity.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Arnold mathematical journal

سال: 2021

ISSN: ['2199-6806', '2199-6792']

DOI: https://doi.org/10.1007/s40598-021-00181-z