On Gorenstein surfaces dominated by P 2

On p-groups of Gorenstein-Kulkarni type

A finite p-group is said to be of Gorenstein-Kulkarni type if the set of all elements of non-maximal order is a maximal subgroup. 2-groups of Gorenstein-Kulkarni type arise naturally in the study of group actions on compact Riemann surfaces. In this paper, we proceed towards a classification of p-groups of Gorenstein-Kulkarni type. Mathematics Subject Classification: 20D15, 20E15, 30F20.

Canonical surfaces in P^4 and Gorenstein algebras in codimension 2

Se p 20 01 On Gorenstein log del Pezzo surfaces ∗

In this paper, we first present the complete list of the singularity types of the Picard number one Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type. Then we give out a method to find out all singularity types of Gorenstein log del Pezzo surface. As an application, we present the complete list of the Dynkin type of the Picard number two ...

Gorenstein projective objects in Abelian categories

Let $mathcal {A}$ be an abelian category with enough projective objects and $mathcal {X}$ be a full subcategory of $mathcal {A}$. We define Gorenstein projective objects with respect to $mathcal {X}$ and $mathcal{Y}_{mathcal{X}}$, respectively, where $mathcal{Y}_{mathcal{X}}$=${ Yin Ch(mathcal {A})| Y$ is acyclic and $Z_{n}Yinmathcal{X}}$. We point out that under certain hypotheses, these two G...

Stable Pairs and Bps Invariants

0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 1. χ-functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 270 2. BPS rationality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 2.1. Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 2.2. Remarks . . . . . . . . . . . . . . . . . . . . . ....