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Log canonical thresholds of Burniat surfaces with $K^2 = 5$

Nguyen Bin, Jheng-Jie Chen, YongJoo Shin

Abstract

In the paper we compute the global log canonical thresholds of the secondary Burniat surfaces with $K^2 = 5$. Furthermore, we establish optimal lower bounds for the log canonical thresholds of members in pluricanonical sublinear systems of the secondary Burniat surfaces with $K^2 = 5$.

Log canonical thresholds of Burniat surfaces with $K^2 = 5$

Abstract

In the paper we compute the global log canonical thresholds of the secondary Burniat surfaces with . Furthermore, we establish optimal lower bounds for the log canonical thresholds of members in pluricanonical sublinear systems of the secondary Burniat surfaces with .
Paper Structure (7 sections, 9 theorems, 186 equations)

This paper contains 7 sections, 9 theorems, 186 equations.

Table of Contents

  1. Introduction
  2. Preliminary
  3. Global log canonical threshold of the secondary Burniat surface with $K^2 = 5$
  4. Even pluricanonical linear system
  5. Odd pluricanonical linear system
  6. The invariant part.
  7. The anti-invariant part.

Key Result

Theorem 1

Let $X$ be a secondary Burniat surface with $K^2_X = 5$. Then

Theorems & Definitions (11)

  • Theorem 1
  • Theorem 2
  • Theorem 3
  • Corollary 1
  • Lemma 1
  • Lemma 2
  • Lemma 3
  • Proposition 2
  • proof
  • Proposition 3
  • ...and 1 more