Gorenstein stable surfaces with KX2=1 and pg>0

DOI10.1002/mana.201600090zbMath1388.14104arXiv1511.03238OpenAlexW2912004860MaRDI QIDQ2986643

Sönke Rollenske, Marco Franciosi, Rita Pardini

Publication date: 16 May 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03238

zbMATH Keywords

moduli space of stable surfacesstable Gorenstein surface

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (15)

I-surfaces with one T-singularity ⋮ Normal Gorenstein stable log surfaces with (K_X + Λ)² = p_g(X, Λ)−1 ⋮ Gorenstein stable surfaces with KX2=1 and χ(OX)=2 ⋮ Geography of minimal surfaces of general type with Z22$\mathbb {Z}_2^2$‐actions and the locus of Gorenstein stable surfaces ⋮ On T‐divisors and intersections in the moduli space of stable surfaces M¯1,3$\overline{\mathfrak {M}}_{1,3}$ ⋮ Simple fibrations in -surfaces ⋮ Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces ⋮ Gorenstein stable log surfaces with (KX+Λ)2=pg(X,Λ)−1 ⋮ Optimal bounds for T-singularities in stable surfaces ⋮ Open problems ⋮ Canonical rings of Gorenstein stable Godeaux surfaces ⋮ Hodge theory and moduli ⋮ Gorenstein stable surfaces with $K_X^2 = 2$ and $\chi(\mathcal O_X) = 4$ ⋮ Rational configurations in \(K3\) surfaces and simply-connected \(p_g=1\) surfaces with \(K^2=1,2,3,4,5,6,7,8,9\) ⋮ Positivity of vector bundles and Hodge theory

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degeneration of Kunev surfaces. I
• Threefolds and deformations of surface singularities
• Algebraic surfaces of general type with small \(c^2_1\). II
• Die Hierarchie der 1-modularen Singularitäten
• Inequalities of Noether type for 3-folds of general type
• On the canonical ring of curves and surfaces
• Pluricanonical maps of stable log surfaces
• The moduli space of even surfaces of general type with \({K^2=8}\), \({p_g=4}\) and \({q=0}\)
• Resolving \(G\)-torsors by abelian base extensions.
• Computing invariants of semi-log-canonical surfaces
• Geography of Gorenstein stable log surfaces
• Compact moduli spaces of surfaces of general type
• Log-canonical pairs and Gorenstein stable surfaces with
• Identifying neighbors of stable surfaces
• Non-normal abelian covers
• RATIONALITY OF SOME QUOTIENT VARIETIES
• Surfaces of general type with $p_g=1$ and $(K,\,K)=1$. I
• Embeddings of curves and surfaces
• Introduction
• Abelian covers of algebraic varieties.

This page was built for publication: Gorenstein stable surfaces with KX2=1 and pg>0