Universal Abelian Covers of Rational Surface Singularities

By Tomohiro Okuma. 2004

48 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0e869a94be18e49c4b5f58664430ca7f5c81df5e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. N'emethi
2. J. Wahl
3. Walter D. Neumann
4. Tomohiro Okuma

In Computational Theory and Mathematics

1. A. N'emethi
2. Walter D. Neumann
3. J. Wahl

In Geometry and Topology

1. A. N'emethi
2. J. Wahl
3. Walter D. Neumann
4. Tomohiro Okuma
5. A. Stipsicz
6. Zolt'an Szab'o
7. Stavros Garoufalidis
8. Don Zagier

Citations in the corpus

• The geometric genus of splice-quotient singularities (2006, unknown): “Then the natural morphism p ′ : Y ′ → X ′ is finite.”
• Lattice cohomology of normal surface singularities (2007, background): “h) = OX˜(−l ′ e(h)) for any h ∈ H. In particular, p∗OZ = ⊕l′∈QOX˜(−l′). The proof is based on a similar statement of Koll´ar valid for cyclic coverings, see e.g. [6], §9. For details, see [13, 15] or [22]. 7.2. The conjectured identities. 7.2.1. The next expected property is a generalization of the ”
• Complete intersection singularities of splice type as universal abelian covers (2004, background): “ent preprint [13] T. Okuma announces, in effect, that this conjecture is correct. A key is an explicit construction of the UAC, a la Esnault-Viehweg, via a sheaf of algebras on the resolution of (Y,o) [12]. The preprint [13] is hesitant about whether the complete intersections he constructs there, wh”
• GRADED ROOTS AND SINGULARITIES (2007, unknown): “Okuma [48].”