On Cohen–Macaulay modules over the plane curve singularity of type $$\varvec{T_{44}}$$T44
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DOI: 10.1007/s00013-017-1034-3
Abstract: For a wide class of Cohen–Macaulay modules over the local ring of the plane curve singularity of type $$T_{44}$$T44, we explicitly describe the corresponding matrix factorizations. The calculations are based on the technique of matrix… read more here.
Keywords: cohen macaulay; curve singularity; singularity type; plane curve ... See more keywords
The Ziegler Spectrum and Ringel’s Quilt of the A-infinity Plane Curve Singularity
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DOI: 10.1007/s10468-017-9720-1
Abstract: We describe the Cohen–Macaulay part of the Ziegler spectrum and calculate Ringel’s quilt of the category of finitely generated Cohen–Macaulay modules over the A-infinity plane curve singularity. read more here.
Keywords: curve singularity; ziegler spectrum; plane curve; ringel quilt ... See more keywords
Spectrum of projective plane curve arrangements with ordinary singularities
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DOI: 10.1080/00927872.2019.1584812
Abstract: Abstract The Hodge spectrum is an important analytic invariant of singularities encoding the Hodge filtration and the monodromy of the Milnor fiber. However, explicit formulas exist in only a few cases. In this article, the… read more here.
Keywords: projective plane; arrangements ordinary; curve arrangements; spectrum projective ... See more keywords