共查询到20条相似文献,搜索用时 15 毫秒
1.
We prove a new formula for the Hirzebruch–Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern–Milnor classes in the hypersurface case that was conjectured by S. Yokura and was proved by A. Parusiński and P. Pragacz. It also generalizes a formula of J. Seade and T. Suwa for the Chern–Milnor classes of complete intersections with isolated singularities. 相似文献
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We consider complete intersection ideals in a polynomial ring over a field of characteristic zero that are stable under the action of the symmetric group permuting the variables. We determine the possible representation types for these ideals and describe formulas for the graded characters of the corresponding quotient rings. 相似文献
6.
F. Fang 《Commentarii Mathematici Helvetici》1997,72(3):466-480
Let X
n
(d) and X
n
(d') be two n-dimensional complete intersections with the same total degree d. In this paper we prove that, if n is even and d has no prime factors less than , then X
n
(d) and X
n
(d') are homotopy equivalent if and only if they have the same Euler characteristics and signatures. This confirms a conjecture
of Libgober and Wood [16]. Furthermore, we prove that, if d has no prime factors less than , then X
n
(d) and X
n
(d') are homeomorphic if and only if their Pontryagin classes and Euler characteristics agree.
Received: September 6, 1996 相似文献
7.
《Journal of Pure and Applied Algebra》2023,227(7):107326
In singularity theory or algebraic geometry, it is natural to investigate possible Hilbert functions for special algebras A such as local complete intersections or more generally Gorenstein algebras. The sequences that occur as the Hilbert functions of standard graded complete intersections are well understood classically thanks to Macaulay and Stanley. Very little is known in the local case except in codimension two. In this paper we characterise the Hilbert functions of quadratic Artinian complete intersections of codimension three. Interestingly we prove that a Hilbert function is admissible for such a Gorenstein ring if and only if is admissible for such a complete intersection. We provide an effective construction of a local complete intersection for a given Hilbert function. We prove that the symmetric decomposition of such a complete intersection ideal is determined by its Hilbert function. 相似文献
8.
Tadayuki Matsuoka 《manuscripta mathematica》1977,21(4):329-340
Let R be a local ring such that R=S/I where S is a regular local ring and I is a prime ideal of height r. In this paper it is shown that if I is minimally generated by r+1 elements, then there exists an R-homomorphism : KRRr+1 such that is an injection and Rr+1/(KR)I/I2 where KR:=Ext
S
r
(R,S) the canonical module of R. Moreover, in case where S is a locality over a perfect field k, it is also shown that if R is Cohen-Macaulay and I2 is a primary ideal, then the homological dimension of the differential module R/k is infinite.The author wishes to thank his colleague Mr.Y.Aoyama for valuable discussions in connection with this subject. 相似文献
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We prove that every smooth complete intersection \(X=X_{d_{1}, \ldots , d_{s}}\subset \mathbb {P}^{\sum _{i=1}^{s}d_{i}}\) defined by s hypersurfaces of degree \(d_{1}, \ldots , d_{s}\) is birationally superrigid if \(5s +1\le \frac{2(\sum _{i=1}^{s}d_{i}+1)}{\sqrt{\prod _{i=1}^{s}d_{i}}}\). In particular, X is non-rational and \({{\mathrm{Bir}}}(X)={{\mathrm{Aut}}}(X)\). We also prove birational superrigidity of singular complete intersections with similar numerical condition. These extend the results proved by Tommaso de Fernex. 相似文献
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Marc Chardin Nguyen Cong Minh Ngo Viet Trung 《Proceedings of the American Mathematical Society》2007,135(6):1597-1606
This paper proves the formulae
for arbitrary monomial complete intersections and , and provides examples showing that these inequalities do not hold for general complete intersections.
for arbitrary monomial complete intersections and , and provides examples showing that these inequalities do not hold for general complete intersections.
16.
The Monomial Conjecture is an assertion about all systems of parameters in an arbitrary noetherian local ringA. We reduce this to a statement about a closely related complete intersection ringR of the same dimension. This statement again involves parameters, but in an ostensibly different way, raising new questions. 相似文献
17.
Margherita Barile Marcel Morales Apostolos Thoma 《Proceedings of the American Mathematical Society》2002,130(7):1893-1903
Let be an affine toric variety of codimension over a field of any characteristic. We completely characterize the affine toric varieties that are set-theoretic complete intersections on binomials. In particular we prove that in the characteristic zero case, is a set-theoretic complete intersection on binomials if and only if is a complete intersection. Moreover, if are binomials such that , then . While in the positive characteristic case, is a set-theoretic complete intersection on binomials if and only if is completely -glued.
These results improve and complete all known results on these topics.
18.
Martin Kreuzer 《Mathematische Annalen》1992,292(1):43-58
19.
Petter Andreas Bergh 《Archiv der Mathematik》2009,92(6):566-573
We show that symmetry in the vanishing of cohomology holds for graded modules over quantum complete intersections. Moreover,
symmetry holds for all modules if the algebra is symmetric.
Received: 1 December 2008 相似文献