搜索结果: 1-15 共查到“代数几何学 Singularities”相关记录18条 . 查询时间(0.122 秒)
Local invariants on quotient singularities and a genus formula for weighted plane curves
Local invariants quotient singularities genus formula weighted plane curves Algebraic Geometry
2012/6/30
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...
Singularities of duals of Grassmannians
Singularities of duals of Grassmannians Algebraic Geometry Differential Geometry
2012/6/21
Let $X$ be a smooth irreducible nondegenerate projective variety and let $X^*$ denote its dual variety. It is well known that $\sigma_2(X)^*$, the dual of the 2-secant variety of $X$, is a component o...
Embedded $\mathbf{Q}$-Resolutions for Yomdin-Lê Surface Singularities
Quotient singularity weighted blow-up embedded Q-reso-lution Yomdin-Le singularity characteristic polynomial monodromy
2012/6/19
In a previous work we have introduced and studied the notion of embedded $\mathbf{Q}$-resolution, which essentially consists in allowing the final ambient space to contain abelian quotient singulariti...
Singularities of the moduli space of level curves
Singularities moduli space of level curves Algebraic Geometry
2012/5/9
For a fixed integer l>1, we describe the singular locus of the compactification of the moduli space R_{g,l} of curves of genus g paired with an l-torsion point in their Jacobian. Generalizing previous...
On the classification of rational surface singularities
classification rational surface singularities Algebraic Geometry
2012/4/17
A general strategy is given for the classification of graphs of rational surface singularities. For each maximal rational double point configuration we investigate the possible multiplicities in the f...
A type of the Lefschetz hyperplane section theorem on \Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities
Lefschetz hyperplane section theorem Algebraic Geometry
2011/9/23
Abstract: We prove a type of the Lefschetz hyperplane section theorem on Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities by using some degeneration method. As a byproduct, we obta...
Resolution except for minimal singularities II. The case of four variables
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities ex...
Resolution except for minimal singularities I
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The idea is used...
Computing the Singularities of Rational Surfaces
Singularities of Rational Surfaces Algebraic Geometry
2011/9/21
Abstract: Given a rational projective parametrization $\cP(\ttt,\sss,\vvv)$ of a rational projective surface $\cS$ we present an algorithm such that, with the exception of a finite set (maybe empty) $...
On the existence of curves with $A_k$-singularities on $K3$-surfaces
versal deformations tacnodes Severi varieties K3 surfaces Ak-singularities
2011/9/19
Abstract: Let $(S,H)$ be a general primitively polarized $K3$ surface. We prove the existence of curves in $|\mathcal O_S(nH)|$ with $A_k$-singularities and corresponding to regular points of the equi...
F-singularities via alterations
Test ideal multiplier ideal alteration rational singularities F-rational singularities Nadel vanishing
2011/9/15
Abstract: For a normal F-finite variety $X$ and a boundary divisor $\Delta$ we give a uniform description of an ideal which in characteristic zero yields the multiplier ideal, and in positive characte...
New examples of terminal and log canonical singularities
New examples of terminal log canonical singularities Algebraic Geometry
2011/9/8
Abstract: We give new examples of terminal and log canonical singularities.
Macdonald formula for curves with planar singularities
Macdonald formula planar singularities curves Algebraic Geometry
2011/9/1
Abstract: We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a curve from smooth curves to curves with planar singularities: we relate the cohomology of the Hilbert s...
A note on exceptional unimodal singularities and K3 surfaces
exceptional unimodal singularities K3 surfaces note Algebraic Geometry
2011/9/1
Abstract: This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compactificatio...
DB singularities deform
Du Bois singularities DB singularities deformation log canonical singularities non-lc ideal
2011/9/5
Abstract: Let $X$ be a variety and $H$ a Cartier divisor on $X$. We prove that if $H$ has Du Bois (or DB) singularities, then $X$ has Du Bois singularities near $H$. As a consequence, if $X \to S$ is ...