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Geometry of Hessenberg varieties with applications to Newton–Okounkov bodies
In this paper, we study the geometry of various Hessenberg varieties in type A, as well as families thereof. Our main results are as follows. We find...
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Classification of 2-dimensional graded normal hypersurfaces with a(R) ≤ 6
We classify 2-dimensional normal weighted homogeneous hypersurface R = k [ X , Y , Z ]/( f ) with given a -invariant a ( R ) ≤ 6. We show that for a ( R ) > 0, the...
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Set-theoretic complete intersection monomial curves in \({\mathbb{P}^n}\)
In this paper, we give a sufficient numerical criterion for a monomial curve in a projective space to be a set-theoretic complete intersection. Our...
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Some remarks on factoriality of certain hypersurfaces in \(\mathbb{P}^4 \)
Let V be a reduced and irreducible hypersurface of degree k ≧ 3. In this paper we prove that if the singular locus of V consists of δ 2 ordinary...
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Boundedness For Low Codimensional Subvarieties
We prove that for certain projective varieties (e.g. smooth complete intersections in projective space), there are only finitely many components of...
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Computing Gauss-Manin systems for complete intersection singularitiesS μ
The Gauss-Manin systems with coefficients having logarithmic poles along the discriminant sets of the principal deformations of complete intersection...