[图书][B] Deformation theory
R Hartshorne - 2010 - Springer
In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was
to understand completely Grothendieck's local study of the Hilbert scheme using the …
to understand completely Grothendieck's local study of the Hilbert scheme using the …
[PDF][PDF] Smoothings of normal surface singularities
J Wahl - Topology, 1981 - cdr.lib.unc.edu
SMOOTHINGS OF NORMAL SURFACE SINGULARITIES Page 1 Topopology. Vol. 20. pp.
219-246. 1981 0040-9383/81/030219-28SO2.00/0 Printed in Great Briacin. Pergamon …
219-246. 1981 0040-9383/81/030219-28SO2.00/0 Printed in Great Briacin. Pergamon …
Graduate texts in mathematics
R Hartshorne - Algebraic geometry, 1977 - Springer
In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was
to understand completely Grothendieck's local study of the Hilbert scheme using the …
to understand completely Grothendieck's local study of the Hilbert scheme using the …
Triple covers in algebraic geometry
R Miranda - American Journal of Mathematics, 1985 - JSTOR
1. Introduction. The main purpose of this article is to develop the foundations of the theory of
triple coverings in algebraic geometry, ie flat finite maps of degree 3 between irreducible …
triple coverings in algebraic geometry, ie flat finite maps of degree 3 between irreducible …
Fitting ideals and multiple points of analytic mappings
D Mond, R Pellikaan - … Geometry and Complex Analysis: Proceedings of …, 2006 - Springer
Let f: X-+ Y be a finite analytic map. The purpose of this paper is to find a good choice of
analytic structure for the set Mk (f) of points in Y whose preimage consists of k or more …
analytic structure for the set Mk (f) of points in Y whose preimage consists of k or more …
[PDF][PDF] Some zero-dimensional generic singularities; finite algebras having small tangent space
A Iarrobino, J Emsalem - Compositio Mathematica, 1978 - numdam.org
We exhibit Artin local algebras A, quotients A= R/I of the power series ring R= k [[xl,..., xr]],
having very small tangent sp, ace Hom (I, A), and hence having as flat deformations (nearby …
having very small tangent sp, ace Hom (I, A), and hence having as flat deformations (nearby …
Virtual resolutions for a product of projective spaces
C Berkesch, D Erman, GG Smith - arXiv preprint arXiv:1703.07631, 2017 - arxiv.org
Syzygies capture intricate geometric properties of a subvariety in projective space. However,
when the ambient space is a product of projective spaces or a more general smooth …
when the ambient space is a product of projective spaces or a more general smooth …
Limits of saturated ideals
J Jelisiejew, T Mańdziuk - arXiv preprint arXiv:2210.13579, 2022 - arxiv.org
We investigate the question whether a given homogeneous ideal is a limit of saturated ones.
We provide cohomological necessary criteria for this to hold and apply them to a range of …
We provide cohomological necessary criteria for this to hold and apply them to a range of …
[PDF][PDF] Classification of log del Pezzo surfaces of index two
N Nakayama - J. Math. Sci. Univ. Tokyo, 2007 - repository.dl.itc.u-tokyo.ac.jp
In this article, a log del Pezzo surface of index two means a projective normal non-
Gorenstein surface S such that (S, 0) is a log-terminal pair, the anti-canonical divisor− KS is …
Gorenstein surface S such that (S, 0) is a log-terminal pair, the anti-canonical divisor− KS is …
Deformation and linkage of Gorenstein algebras
AR Kustin, M Miller - Transactions of the American Mathematical Society, 1984 - ams.org
General double linkage of Gorenstein algebras is defined. Rigidity, genericity, and regularity
up to codimension six all pass across general double linkage. Rigid strongly unobstructed …
up to codimension six all pass across general double linkage. Rigid strongly unobstructed …