A cusp singularity with no Galois cover by a complete intersection
نویسندگان
چکیده
منابع مشابه
A Cusp Singularity with No Galois Cover by a Complete Intersection
A conjecture of Neumann and Wahl is confirmed with an explicit example. Some computational techniques are developed, and basic facts about cusps are reviewed.
متن کاملIndices of 1-forms on an Isolated Complete Intersection Singularity
There are some generalizations of the classical Eisenbud– Levine–Khimshiashvili formula for the index of a singular point of an analytic vector field on R to vector fields on singular varieties. We offer an alternative approach based on the study of indices of 1-forms instead of vector fields. When the variety under consideration is a real isolated complete intersection singularity (icis), we d...
متن کاملLocal Cohomology with Respect to a Cohomologically Complete Intersection Pair of Ideals
Let $(R,fm,k)$ be a local Gorenstein ring of dimension $n$. Let $H_{I,J}^i(R)$ be the local cohomology with respect to a pair of ideals $I,J$ and $c$ be the $inf{i|H_{I,J}^i(R)neq0}$. A pair of ideals $I, J$ is called cohomologically complete intersection if $H_{I,J}^i(R)=0$ for all $ineq c$. It is shown that, when $H_{I,J}^i(R)=0$ for all $ineq c$, (i) a minimal injective resolution of $H_{I,...
متن کاملAn Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity
Let (V, 0) be a germ of a complete intersection variety in C, n > 0, having an isolated singularity at 0 and X be the germ of a holomorphic vector field on C tangent to V and having on V an isolated zero at 0. We show that in this case the homological index and the GSV-index coincide. In the case when the zero of X is also isolated in the ambient space C we give a formula for the homological in...
متن کاملUniversal Abelian Covers of Quotient - Cusps
The quotient-cusp singularities are isolated complex surface singularities that are double-covered by cusp singularities. We show that the universal abelian cover of such a singularity, branched only at the singular point, is a complete intersection cusp singularity of embedding dimension 4. This supports a general conjecture that we make about the universal abelian cover of a Q-Gorenstein sing...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07302-2