scholarly journals On symplectic fillings of links of rational surface singularities with reduced fundamental cycle

2004 ◽  
Vol 175 ◽  
pp. 51-57 ◽  
Author(s):  
Mohan Bhupal
Keyword(s):  
Rational Surface ◽  
Surface Singularity ◽  
Fundamental Cycle ◽  
Surface Singularities ◽  
Rational Surface Singularity ◽  
Symplectic Filling ◽  
Rational Surface Singularities

AbstractWe prove that every symplectic filling of the link of a rational surface singularity with reduced fundamental cycle admits a rational compactification, possibly after a modification of the filling in a collar neighbourhood of the link.

scholarly journals Frobenius categories, Gorenstein algebras and rational surface singularities

2014 ◽  
Vol 151 (3) ◽  
pp. 502-534 ◽  
Author(s):  
Martin Kalck ◽  
Osamu Iyama ◽  
Michael Wemyss ◽  
Dong Yang
Keyword(s):  
Sufficient Conditions ◽  
Rational Surface ◽  
Gorenstein Ring ◽  
Projective Modules ◽  
Rational Singularity ◽  
Gorenstein Projective Modules ◽  
Surface Singularities ◽  
Frobenius Category ◽  
Rational Surface Singularity ◽  
Frobenius Categories

AbstractWe give sufficient conditions for a Frobenius category to be equivalent to the category of Gorenstein projective modules over an Iwanaga–Gorenstein ring. We then apply this result to the Frobenius category of special Cohen–Macaulay modules over a rational surface singularity, where we show that the associated stable category is triangle equivalent to the singularity category of a certain discrepant partial resolution of the given rational singularity. In particular, this produces uncountably many Iwanaga–Gorenstein rings of finite Gorenstein projective type. We also apply our method to representation theory, obtaining Auslander–Solberg and Kong type results.

When Is a Complete Ideal in a Rational Surface Singularity a Multiplier Ideal?

2021 ◽  
pp. 145-151
Author(s):  
Maria Alberich-Carramiñana ◽  
Josep Àlvarez Montaner ◽  
Víctor González-Alonso
Keyword(s):  
Rational Surface ◽  
Surface Singularity ◽  
Complete Ideal ◽  
Rational Surface Singularity ◽  
Multiplier Ideal

scholarly journals Invariants of open books of links of surface singularities

2011 ◽  
Vol 48 (1) ◽  
pp. 135-144
Author(s):  
András Némethi ◽  
Meral Tosun
Keyword(s):  
Contact Structure ◽  
Rational Surface ◽  
Normal Surface ◽  
Rational Homology ◽  
Section 8 ◽  
Open Books ◽  
Binding Number ◽  
Surface Singularities ◽  
Rational Surface Singularities ◽  
Rational Homology Sphere

If M is the link of a complex normal surface singularity, then it carries a canonical contact structure ξcan, which can be identified from the topology of the 3-manifold M. We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support ζcan, provided that we restrict ourselves to the case of (analytic) Milnor open books. In order to do this, we determine monotonity properties of the genus and the Milnor number of all Milnor fibrations in terms of the Lipman cone.We generalize results of [3] valid for links of rational surface singularities, and we answer some questions of Etnyre and Ozbagci [7, section 8] regarding the above invariants.

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