[图书][B] Lectures on Hilbert schemes of points on surfaces
H Nakajima - 1999 - books.google.com
The Hilbert scheme $ X {[n] $ of a surface $ X $ describes collections of $ n $(not necessarily
distinct) points on $ X $. More precisely, it is the moduli space for $0 $-dimensional …
distinct) points on $ X $. More precisely, it is the moduli space for $0 $-dimensional …
The decomposition theorem, perverse sheaves and the topology of algebraic maps
M de Cataldo, L Migliorini - Bulletin of the American Mathematical Society, 2009 - ams.org
We give a motivated introduction to the theory of perverse sheaves, culminating in the
decomposition theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is …
decomposition theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is …
Motivic measures and stable birational geometry
M Larsen, VA Lunts - arXiv preprint math/0110255, 2001 - arxiv.org
arXiv:math/0110255v1 [math.AG] 23 Oct 2001 Page 1 arXiv:math/0110255v1 [math.AG] 23 Oct
2001 MOTIVIC MEASURES AND STABLE BIRATIONAL GEOMETRY MICHAEL LARSEN AND …
2001 MOTIVIC MEASURES AND STABLE BIRATIONAL GEOMETRY MICHAEL LARSEN AND …
The Chow groups and the motive of the Hilbert scheme of points on a surface
MA de Cataldo, L Migliorini - arXiv preprint math/0005249, 2000 - arxiv.org
arXiv:math/0005249v1 [math.AG] 24 May 2000 Page 1 arXiv:math/0005249v1 [math.AG] 24
May 2000 The Chow groups and the motive of the Hilbert scheme of points on a surface Mark …
May 2000 The Chow groups and the motive of the Hilbert scheme of points on a surface Mark …
[PDF][PDF] The hard Lefschetz theorem and the topology of semismall maps
MAA de Cataldo, L Migliorini - Annales scientifiques de l'Ecole normale …, 2002 - numdam.org
A line bundle on a complex projective manifold is said to be lef if one of its powers is globally
generated and defines a semismall map in the sense of Goresky–MacPherson. As in the …
generated and defines a semismall map in the sense of Goresky–MacPherson. As in the …
The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior)
Abstract Looijenga–Lunts and Verbitsky showed that the cohomology of a compact hyper-
Kähler manifold X admits a natural action by the Lie algebra so (4, b_2 (X)-2) so (4, b 2 (X) …
Kähler manifold X admits a natural action by the Lie algebra so (4, b_2 (X)-2) so (4, b 2 (X) …
On the motive of the Hilbert scheme of points on a surface
L Göttsche - arXiv preprint math/0007043, 2000 - arxiv.org
We determine the class of the Hilbert scheme of points on a surface in the Grothendieck
group of varieties. As a corollary we obtain its class in the Grothendieck group of motives …
group of varieties. As a corollary we obtain its class in the Grothendieck group of motives …
The Hodge numbers of O'Grady 10 via Ngô strings
MAA de Cataldo, A Rapagnetta, G Saccà - Journal de Mathématiques …, 2021 - Elsevier
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Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
L Göttsche - Communications in mathematical physics, 1999 - Springer
We compute generating functions for the Hodge numbers of the moduli spaces of H-stable
rank 2 sheaves on a rational surface S in terms of theta functions for indefinite lattices. If H …
rank 2 sheaves on a rational surface S in terms of theta functions for indefinite lattices. If H …
The Chow motive of semismall resolutions
MAA de Cataldo, L Migliorini - arXiv preprint math/0204067, 2002 - arxiv.org
We consider proper, algebraic semismall maps f from a complex algebraic manifold X. We
show that the topological Decomposition Theorem implies a" motivic" decomposition …
show that the topological Decomposition Theorem implies a" motivic" decomposition …