On birational transformations of Hilbert schemes of points on K3 surfaces
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02960-y
Abstract: We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperkahler… read more here.
Keywords: schemes points; transformations hilbert; points surfaces; birational transformations ... See more keywords
Grothendieck–Plücker Images of Hilbert Schemes are Degenerate
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DOI: 10.1017/s0013091518000421
Abstract: Abstract We study the decompositions of Hilbert schemes induced by the Schubert cell decomposition of the Grassmannian variety and show that Hilbert schemes admit a stratification into locally closed subschemes along which the generic initial… read more here.
Keywords: images hilbert; grothendieck cker; cker images; hilbert schemes ... See more keywords
On the Hilbert schemes of finite algebras over an algebraically closed field
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DOI: 10.1080/00927872.2017.1399409
Abstract: ABSTRACT In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the Hilbert schemes of a finite Gorenstein algebra.… read more here.
Keywords: closed field; algebras algebraically; hilbert schemes; algebraically closed ... See more keywords
Degeneracy loci, virtual cycles and nested Hilbert schemes II
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DOI: 10.1112/s0010437x20007290
Abstract: We express nested Hilbert schemes of points and curves on a smooth projective surface as ‘virtual resolutions’ of degeneracy loci of maps of vector bundles on smooth ambient spaces. We show how to modify the… read more here.
Keywords: hilbert schemes; virtual cycles; loci virtual; cycles nested ... See more keywords