A new family of surfaces of general type with K2 = 7 and pg = 0

Yifan Chen

doi:10.1007/s00209-013-1182-5

A new family of surfaces of general type with K² = 7 and p_g = 0

Yifan Chen^*

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We construct a new family of smooth minimal surfaces of general type with K² = 7 and p_g = 0. We show that a surface in this family has ample canonical divisor and birational bicanonical morphism. We also prove that these surfaces satisfy Bloch's conjecture.

Original language	English
Pages (from-to)	1275-1286
Number of pages	12
Journal	Mathematische Zeitschrift
Volume	275
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-013-1182-5
State	Published - Dec 2013
Externally published	Yes

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title = "A new family of surfaces of general type with K2 = 7 and pg = 0",

abstract = "We construct a new family of smooth minimal surfaces of general type with K2 = 7 and pg = 0. We show that a surface in this family has ample canonical divisor and birational bicanonical morphism. We also prove that these surfaces satisfy Bloch's conjecture.",

author = "Yifan Chen",

year = "2013",

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AB - We construct a new family of smooth minimal surfaces of general type with K2 = 7 and pg = 0. We show that a surface in this family has ample canonical divisor and birational bicanonical morphism. We also prove that these surfaces satisfy Bloch's conjecture.

UR - https://www.scopus.com/pages/publications/84888134277

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DO - 10.1007/s00209-013-1182-5

M3 - 文章

AN - SCOPUS:84888134277

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SP - 1275

EP - 1286

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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ER -

A new family of surfaces of general type with K² = 7 and p_g = 0

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