Maps between local Picard groups

János Kollár

doi:10.14231/AG-2016-022

Maps between local Picard groups

János Kollár

Mathematics

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

5 Scopus citations

Abstract

The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give suffcient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.

Original language	English (US)
Pages (from-to)	461-495
Number of pages	35
Journal	Algebraic Geometry
Volume	3
Issue number	4
DOIs	https://doi.org/10.14231/AG-2016-022
State	Published - Sep 1 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

Grothendieck-Lefschetz hyperplane theorem
Local Picard group
Normalization

Access to Document

10.14231/AG-2016-022

Cite this

@article{a6fb39f712df41a78c1c3df2200787d7,

title = "Maps between local Picard groups",

abstract = "The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give suffcient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.",

keywords = "Grothendieck-Lefschetz hyperplane theorem, Local Picard group, Normalization",

author = "J{\'a}nos Koll{\'a}r",

note = "Publisher Copyright: {\textcopyright} Foundation Compositio Mathematica 2016.",

year = "2016",

month = sep,

day = "1",

doi = "10.14231/AG-2016-022",

language = "English (US)",

volume = "3",

pages = "461--495",

journal = "Algebraic Geometry",

issn = "2313-1691",

publisher = "European Mathematical Society Publishing House",

number = "4",

}

TY - JOUR

T1 - Maps between local Picard groups

AU - Kollár, János

N1 - Publisher Copyright: © Foundation Compositio Mathematica 2016.

PY - 2016/9/1

Y1 - 2016/9/1

N2 - The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give suffcient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.

AB - The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give suffcient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.

KW - Grothendieck-Lefschetz hyperplane theorem

KW - Local Picard group

KW - Normalization

UR - https://www.scopus.com/pages/publications/85045471941

UR - https://www.scopus.com/pages/publications/85045471941#tab=citedBy

U2 - 10.14231/AG-2016-022

DO - 10.14231/AG-2016-022

M3 - Article

AN - SCOPUS:85045471941

SN - 2313-1691

VL - 3

SP - 461

EP - 495

JO - Algebraic Geometry

JF - Algebraic Geometry

IS - 4

ER -

Maps between local Picard groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this